to rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $6 per hour. The chemistry club wants to spend at most $72 on renting the room. what are the possible numbers of hours the cemetery club could rent the meeting room? use t for the number of hours. write your answer as an inequality solved for t.

Answers

Answer 1

Answer:

t ≤ 9 hours

Step-by-step explanation:

Reservation fee = $18

Additional fee per hour = $6

Let x = number of hours

At most in inequality means ≤ less than or equal to

The inequality is

18 + 6t ≤ 72

6t ≤ 72 - 18

6t ≤ 54

t ≤ 54/6

t ≤ 9 hours


Related Questions

How much more than 23 is 9 * 9?

Answers

58 is the number which would be much more than 23 is 9*9.

Here,

It is asked that how much more we need to add in 23 to get the value 9*9.

Here, 9*9 means we simply have to multiply 9 with 9 and we will get 81.

so, we know that

     9*9 = 81

Now, we have to find how much we need to substract in 81 to get the value as 23

     81-23 =58

when we deduct 23 from 81 then we get 58.

hence, 58 is the answer.

In this situation we just replace the much more word with subtraction to get the answer.

To learn more about add click here:

brainly.com/question/10416781

#SPJ4

What transformation can verify congruence?

Answers

It isometric to rotate, reflect, and translate. This indicates that the character size is unaffected by these modifications. If a form's size and shape have not altered, it is congruent.

What is congruence?


A "matching" figure is one that can be placed perfectly on another. The bread has the same size and form when it is stacked. Match refers to objects that are precisely the same size and form. If one of two geometric figures can be consistently overlaid on the other, they are said to be congruent or to be in a congruent relationship.

If 3 sides are equal

then By SSS, its congruent

AB = DE = 12

BC = EF = 11

AC= DF = 10

To know more about congruence visit:
https://brainly.com/question/7888063

#SPJ4

Determine the Domain & Range.

Answers

Answer:

64, 2

Step-by-step explanation:

Domain: [0, 4]

Range: [0, 64]

`-6+g=11 solve the equation

Answers

Move -6 to right. Move = change signs

G=11+6

G=17
g= 17


step by step instructions:

-6+g=11

+6 on both sides

g=17

the two lines graphed below are not parallel. how many solutions are there to the system of equations

Answers

The number of solutions that are to the system of equations is (a) one

How to determine the number of solutions on the graph

From the question, we have the following parameters that can be used in our computation:

The graph

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (3, 1)

Hence, the solution is (3, 1) ie. one solution

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

pls answer need help.

Answers

Answer:

No

Step-by-step explanation:

5+10<17

How do you know if a curve is positive or negative?

Answers

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

To know more about curves visit: brainly.com/question/28793630

#SPJ4

Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

What are the properties of equilateral triangles?

Answers

Properties of equilateral triangles are:

All three sides of an equilateral triangles are equal and let be a units.All three angles are equal to 60 degreesEquilateral triangles is a regular polygon of 3 side.Equilateral triangles have the same point as its ortho-centre as well as its  centroid . The median, angle bisector, and altitude of an equilateral triangle are all equal and the same straight line.An equilateral triangle's area is = [tex]\frac{\sqrt{3} }{4} *a^2[/tex].perimeter of an equilateral triangle is 3a.The length of perpendicular form a vertex to the side opposite to that vetex measure[tex]\frac{\sqrt{3} }{2} *a[/tex].

To know more about equilateral triangles click on below link:

https://brainly.com/question/3461022#

#SPJ4

Why does the square root of 16 have two answers?

Answers

When we multiply 4 with 4 we get 16 again

when we multiply (-4) with (-4) we get 16. so 16 has 2 square root.

What are Square and Square root ?

There are always two solutions to the square root of a number: a positive response and a negative answer. Because the square of a negative and positive integer is the same, there are two possible solutions.

Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.

The values that result from multiplying an integer by itself are known as square numbers. Among the attributes are:

The square of one is one.Positive squares have positive characteristics.The square of a negative integer has a positive aspect as well.Square of 0 equals 0The value under the root is equal to a number's square root.Only even numbers will be present in every even number's unit location of square.A number's square ends in 1 if either 1 or 9 were substituted for the unit.If a number has a 4 or 6 in the place of the unit, then the square it forms ends in 6.

When we multiply 4 with 4 we get 16 again

when we multiply (-4) with (-4) we get 16. so 16 has 2 square root.

To learn more about Square and Square root refer to :

https://brainly.com/question/21777939

#SPJ4

find (g o f)(3) f(x)=3x-2 g(x)=x^2. A.1 b.-8 c49 d. 52

Answers

Answer:

To find (g o f)(3), we need to first apply f to 3, which gives us f(3) = 3 * 3 - 2 = 7. Then we need to apply g to the result of f(3), which gives us g(7) = 7^2 = 49. Therefore, (g o f)(3) = 49, so the answer is c.

Step-by-step explanation:

What is the easiest way to find the domain?

Answers

We simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain.

What is the domain?

The collection of all potential inputs for a function is its domain.

For instance, the domain of f(x)=x² and g(x)=1/x are all real integers with the exception of x=0.

The set of numbers x for which a function has a valid definition is known as its domain.

A closed interval is referred to as a function's domain if it is specified over the interval a ≤ x ≤ b.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).

Simply put, x=g(y) will calculate the function's range after we identify g(y).

Therefore, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain.

Know more about the domain here:

https://brainly.com/question/2264373

#SPJ4

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?y = negative 3 x minus 5y = 3 x minus 5y = negative 3 x + 5y = 3 x + 5.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The slope-intercept form of a line is [tex]y = mx + b[/tex], where m is the slope, and b is the y-intercept.

To solve for m (the slope), use the formula: [tex]m = \frac{y__{2} - y__{1}}{x__{2} - x__{1}}[/tex], where [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2}, y_{2})[/tex] are the points you are given.

. . . . . . . . m = (17 - 11) / (4-2)

. . . . . . . . m = 6/2

. . . . . . . ∴ m = 3

Substitute the slope, m, into the slope-intercept equation.

y = 3x + b

Now we have to solve for b, the y-intercept. To do so, substitute a point that was given to you into the equation.

I chose the point (4,17), but you can also do (2,11).

. . . . . . . . 17 = 3(4) + b

. . . . . . . . . . remember that the x-variable is being multiplied to the m

. . . . . . . .  -12 + 17 = 12 + b - 12

. . . . . . . .  ∴ 5 = b

Substitute the y-intercept, b, into the slope-intercept equation, and you're done!

[tex]y = 3x + 5[/tex]

A boat traveled on a river 10 km upstream and then comes back to its starting point. Given that the trip takes 2 hours and the river has a current of 4 km an hour, write a quadratic equation that gives the boat's speed for the trip.
Responses
A 2x2 − 20x − 32 =0
B 2x2 − 8x − 32 =0
C 2x2 − 8x − 16 =0
D 2x2 − 16x − 32 =0

Answers

Answer:

2x² - 20x - 32 = 0

Step-by-step explanation:

Trip upstream:

distance = 10 km

time = t

current = 4 km/h

speed of boat in still water = x

speed upstream: x - 4

speed = distance/time

distance = speed × time

10 = (x - 4) × t

10 = tx - 4t

t(x - 4) = 10

t = 10/(x - 4)

Trip downstream:

Distance = 10 km

time = 2 - t

current = 4 km/h

speed downstream = x + 4

speed = distance/time

distance = speed × time

10 = (x + 4) × (2 - t)

10 = 2x - tx + 8 - 4t

10 = 2x - 10x/(x - 4) + 8 - 40/(x - 4)

10(x - 4) = 2x(x - 4) - 10x + 8(x - 4) - 40

10x - 40 = 2x² - 8x - 10x + 8x - 32 - 40

2x² - 20x - 32 = 0

90pts!! please help meh iwill mark brainliest!! please have a good day/night :)
What is the product of 1.2y and 3y?

4.2y
3.6y
3.6y2
4.2y2

Answers

Answer:  3.6y^2

Step-by-step explanation:


To calculate this, you simply multiply the two numbers together: 1.2y * 3y = 3.6y^2.

Answer:

[tex] \sf \: c) \: 3.6 {y}^{2} [/tex]

Step-by-step explanation:

Now we have to,

→ find the product of 1.2y and 3y.

Forming the problem,

→ 1.2y × 3y

Then the product will be,

→ 1.2y × 3y

→ (1.2 × 3)(y × y)

→ (1.2 × 3)y²

→ (3.6)y²

→ 3.6y²

Hence, the answer is 3.6y².

What are the example of exponential equation?

Answers

Exponential equation has tow major types

exponential decay

f(x) = a(1.16)^x

exponential growth

f(x) = a(0.84)^x

What are exponential equation?

Exponent-based equations in which the exponent or a portion of the exponent is a variable are known as exponential equations.

This is a type of function that are of 3 main parts

the starting or initial value

base function

the exponents

Atypical example includes:  f(x) = 300(1.16)^x

the starting = 300

the base = 1.16

the exponents = x

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

The base is what determines exponential growth or decay

Learn more about exponential function here:

https://brainly.com/question/29716012

#SPJ1

What is the graph of a quadratic equation and inequality called?

Answers

The graph of quadratic inequality when plotted represents the parabola.

The quadratic inequality will have a range of solutions, unlike the quadratic equation.

The quadratic inequality could be solved using factorization method for example

The quadratic inequality x²+6x+5 ≤0 can be solved by factorizing but instead of two solutions, there are a range of solutions.

For given equation we need to calculate value of x such that the graph is less than zero.

Hence solution to this inequality can be written as

−5≤x≤−1.

And the graph of given quadratic inequality represents the parabola.

To know more about parabola related questions click on the below link:

brainly.com/question/21685473

#SPJ4

How many solutions does a pair of equations y =- 3 and y 0 has?

Answers

The pair of equations y = -3 and y = 0 have No Solution .

The pair of equations is given as y = 0 and y = -3 .

In order to find number of solutions of the equations ,

we use the graphical method ,

the graph of the equation y = 0 is x axis .

and the graph of the equation y = -3 is a straight line that is parallel to the x axis , as shown in the figure below .

From the graph drawn below , we can see that the two lines are parallel and

We know that , when two lines are parallel they have No Solution .

Therefore , given pair equations have No Solution .

The given question is incomplete , the complete question is

How many solutions does a pair of equations y = -3 and y = 0 has ?

Learn more about Solutions here

https://brainly.com/question/14603452

#SPJ4

Is y² X² 16 a function?

Answers

Since in [tex]y^{2} x^{2} 16[/tex] , there is no "=" sign in the given expression so we can conclude that given expression is not a function.

What is a function?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

What are mathematical expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases.

Expression=[tex]y^{2} x^{2} 16[/tex]

Since there was not "=" sign in the given expression so output can't be achieved for any given inputs so we can conclude that the given expression is not a function.

To know more about functions visit:

https://brainly.com/question/28193995

#SPJ4

Use proportional reasoning skills to figure out the unit rate of bananas if it costs $1.50 for 2/3 pound of bananas.

Answers

The unit rate of bananas is $2.25 per pound.

What is the meaning of unit rate?

Unit Rate = Ratio between two separate quantities with different units. = a:b. = a/b. This formula can be used to determine the rate of any two given quantities, such as a and b.

Given that the cost of 2/3 pound of bananas is $1.50.

If the number of pound of bananas increase then the cost of bananas will be increase.

So the relation between amount of banana is directly proportion with the cost.

Therefore,

Amount of bananas/ cost of bananas = Amount of bananas/ cost of bananas

(2/3)/1.50 = 1/x

2/4.50 = 1/x

x = 4.50/2

x = 2.25

To learn more about  directly proportion, click on below link:

https://brainly.com/question/16158414

#SPJ1

Exercice 1

Sarah, who is twenty years old, runs regularly. During her workouts, she monitors her heart rate.It thus determined its maximum recommended heart rate and obtained 193 beats per minute. When she is forty years old, her maximum heart rate will be 178 beats per minute.Is it true that over this twenty-year period his maximum heart rate will have decreased by about 8%?

Answers

It is true that Sarah's maximum heart rate over this twenty-year period will have decreased by approximately 8%.

How is the percentage decrease computed?

The percentage decrease is determined by ascertaining the reduction or difference in heart rate at the beginning and at forty.

This difference becomes the numerator of the division operation by the heart rate at the beginning and then multiplied by 100.

Sarah's heart rate at twenty years = 193 beats per minute

Sarah's heart rate at forty years = 178 beats per minute

Difference (Decrease) in heart rate = 15 beats per minute (193 - 178)

Percentage decrease = 7.77% (15/193 x 100)

= 8%

Thus, we can conclude that Sarah's heart rate has decreased by about 8%.

Learn more about percentage decreases at https://brainly.com/question/14808025

#SPJ1

Which of the following is equivalent to −2(5p − 2q)?

−10p + 4q
−10p − 2q
−7p + 4q
−7p − 4q

Answers

−10p + 4q is equivalent to −2(5p − 2q).

What is meant by equivalent expression?Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).Using the equality (=) symbol, equivalent phrases are represented. Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.When two expressions can be expressed similarly or when they can be combined into a single, simpler expression, they are said to be comparable. Furthermore, if values are replaced for the variable in two expressions and they both provide the same result, you can tell if the expressions are similar.

Given data :

−2(5p − 2q)

= -2 x 5p -(-2p) x 2q)

= = 10p + 4q

Learn more about equivalent expression refer to :

https://brainly.com/question/24734894

#SPJ1

Simplify completely. …..

Answers

By simplifying [tex]\sqrt{75a^{8}b^{5} }[/tex], we get 5[tex]a^{4} b^{2}[/tex][tex]\sqrt{3b}[/tex].

What is square root?

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.

How to find square root?

Factoring by squares: Find the factorsSeparate the factors into their own square rootsSolve for the individual squaresFinish solving the equationLong-form factoring:Find the factorsPull duplicate factors outSolve the remaining equationLong division method:Separate your square root base into pairsFind the largest square that divides into the first number or pairSubtract the square from the first number or pairDrop down the next pairMultiply the first digit of the square by twoSet up the next factor equationFind the number that fills the blanksPut the number next to the first digit

[tex]\sqrt{75a^{8}b^{5} } =\sqrt{25*3*a^{4}*a^{4}* b^{2} *b^{2}*b }[/tex]

             =[tex]\sqrt{5*5*3*a^{2}*a^{2}*a^{2}*a^{2}*b^{2}*b^{2}*b }[/tex]

             =5×a×a×a×a×b×b[tex]\sqrt{3*b}[/tex]

             =5[tex]a^{4}b^{2}[/tex][tex]\sqrt{3b}[/tex]

To know moe about square root:

https://brainly.com/question/15208820

#SPJ1

What are the 4 steps in constructing a line segment?

Answers

Line Segment has 2 end points.

How to construct a line segment?

Building a line segment of a specified length involves the following stages.

First, draw a line.

Step 2: Pick any point on the line where point A is.

Step 3: Keep one end of the compass on the 0 cm mark at the specified length of the rule to extend it.

Step 4: Draw an arc on the line while maintaining the compass' pointed end on point A.

Make B the arc point.

In this way we can construct any line segment of given length using compass and scale.

Line Segment has 2 end points.

To refer more about Line segments, visit:

https://brainly.com/question/2437195

#SPJ4

Find the solution of the system of equations.
-5x - 5у = -30
10x+3y = -3

Answers

Refer to the photo taken.

How do you write quadratic equations in standard form give at least 3 examples?

Answers

The quadratic equations are

a) x² + 5x - 6 = 0  ( the roots are x = -6 , x = 1 )

b) x² - 5x + 6 = 0  ( the roots are x = 2 , x = 3 )

c) x² + 2x - 3 = 0  ( the roots are x = -3 , x = 1 )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation in the standard form is ax² + bx + c = 0

Now , the value of A is

a)

Let the quadratic equation be x² + 5x - 6 = 0

Now , on simplifying the equation , we get

x² + 5x - 6 = 0

x² - x + 6x - 6 = 0

Taking the common factors in the equation , we get

x ( x - 1 ) + 6 ( x - 1 ) = 0

On factorizing the equation , we get

( x + 6 ) ( x - 1 ) = 0

So , ( x + 6 ) = 0 or ( x - 1 ) = 0

And , x = -6 or x = 1

So , the roots of the quadratic equations are x = -6 or x = 1

b)

Let the quadratic equation be x² - 5x + 6 = 0

Now , on simplifying the equation , we get

x² + 5x + 6 = 0

x² + 2x + 3x - 6 = 0

Taking the common factors in the equation , we get

x ( x + 2 ) + 3 ( x + 2 ) = 0

On factorizing the equation , we get

( x + 3 ) ( x + 2 ) = 0

So , ( x + 3 ) = 0 or ( x + 2 ) = 0

And , x = -3 or x = -2

So , the roots of the quadratic equations are x = -2 or x = -3

c)

Let the quadratic equation be x² + 2x - 3 = 0

Now , on simplifying the equation , we get

x² + 2x - 3 = 0

x² - x + 3x - 3 = 0

Taking the common factors in the equation , we get

x ( x - 1 ) + 3 ( x - 1 ) = 0

On factorizing the equation , we get

( x + 3 ) ( x - 1 ) = 0

So , ( x + 3 ) = 0 or ( x - 1 ) = 0

And , x = -3 or x = 1

So , the roots of the quadratic equations are x = 1 or x = -3

Hence , the quadratic equations are solved

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ4

if there is $0.85 for 8 oz, how much would 1 oz cost?

Answers

The cost of 1 oz is $0.10625

How to determine the cost of 1 oz?

From the question, we have the following parameters that can be used in our computation:

If there is $0.85 for 8 oz

This means that

The cost of 8 oz = $0.85

Assume there exist a proportional relationship between the cost and the size i.e. oz

The cost of 1 oz can be calculated using the following equation

The cost of 1 oz = $0.85/8

Evaluate the quotient

The cost of 1 oz = $0.10625

Hence, the cost of 1 oz is $0.10625

Read more about unit rates at

https://brainly.com/question/19493296

#SPJ1

the equation for line w is y=3x-4.line d contains the point (2,-1) and is parallel to line with.write an equation that describes line d?


Please answer asap.thank you

Answers

Considering the definition of parallel line, the equation of the line d is y= 3x -7.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Parallel line

Parallel lines are two lines that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts.

Equation of parallel line in this case

In this case, the line is y=3x-4

where:

The slope m is 3.The y-intercept is -4.

Since two lines are parallel if they have the same slope, the parallel line has a slope of 3.

The line passes through the point (2, -1). Replacing in the expression for a line:

-1= 3× 2 + b

-1= 6 + b

-1 -6= b

- 7= b

Finally, the equation of parallel line is y= 3x -7.

Learn more about parallel line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

two numbers which differ by 3 have a product of 88. Find the two numbers.

Answers

Answer:

Step-by-step explanation:

Let's call the two numbers x and y, where x is the smaller number and y is the larger number. We are given that x and y differ by 3, which means y - x = 3. We are also given that the product of x and y is 88, which means x * y = 88. We can solve this system of equations by substituting the second equation into the first equation:

y - x = 3

y = x + 3

Substituting this expression for y into the second equation, we get:

x * (x + 3) = 88

x^2 + 3x - 88 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (-3 +/- sqrt(3^2 - 41(-88))) / (2*1)

= (-3 +/- sqrt(9 + 352)) / 2

= (-3 +/- sqrt(361)) / 2

= (-3 +/- 19) / 2

= -11/2 or 8/2

Therefore, the two numbers are x = -11/2 and y = 8/2, or x = -5.5 and y = 4. These are the solutions to the original system of equations.

Answer:

let x, x 3 be two figures

also,
x( x 3) = 88

x2 3x- 88 = 0-88 = 11 ×(- 8)
= x2 11x- 8x- 88 = 0 3 = 11- 8

= x( x 11)-8( x 11) = 0
= ( x 11)(x-8) = 0

x = -11 or x = 8
verification 8 ×( 8 3) = 8 × 11 = 88

- 11 ×(- 11 3) = - 11 ×- 8 = 88
To know more about this https://brainly.com/question/23989371

What is the formula in solving rectangular prism?

Answers

The formula used to calculate the solving the volume of the rectangular prism is equal to ( length × width × height ).

As given in the question,

Given base of the prism is rectangular in shape ,

Area of the base with rectangular base is given by :

area of the rectangle = length × width

Volume of the rectangular prism = base area × height

⇒Volume of the rectangular prism = ( length × width ) × height

Therefore, the formula required to calculate the volume of the rectangular prism is given by ( length × width × height ).

The above question is incomplete , the complete question is:

What is the formula in solving volume of the rectangular prism?

Learn more about volume here

brainly.com/question/13338592

#SPJ4

The volume of a box, a rectangular prism, is represented by the function f(x) = x3 5x2 – 8x – 12. the length of the box is (x 6), and the width is (x – 2). find the expression representing the height of the box. x – 1 x – 5 x 1 x – 12

Answers

The expression representing the height of the box is the difference between the length and width of the box, which is equal to x subtracting two, or x – 1.

The expression representing the height of the box can be determined by subtracting the width of the box from the length. The length of the box is x 6, and the width is x – 2. To calculate the height, we subtract the width from the length: x – (x – 2) = x – x + 2 = 2. Therefore, the expression representing the height of the box is x – 1. This indicates that the height of the box is equal to the length of the box minus one. This calculation can be applied to any rectangular prism to calculate the height.The volume of the box is represented by the function f(x) = x3 5x2 – 8x – 12. To calculate the volume, we can substitute the length and width into the function:

f(x) = (x – 6)(x – 2)(x – 1) = x3 – 8x2 + 11x – 12.

Therefore, the volume of the box is x3 – 8x2 + 11x – 12.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Other Questions
Consumer BehaviorChoosing a Nursing ProgramActivity DescriptionIn this activity, you will play the role of an employee at the local hospital who realizes you aren't on the long-term career path you want. After deciding the nursing field is something you are interested in, you have to figure out what college would be the best fit. Gabby and your coworker, Joe, will help guide you along your decision-making path.The estimated time to complete the activity is 10-15 minutes. You should start when you have enough time to think through the scenario critically. However, if you need to exit the activity before completion, you will return to where you left off when you re-enter.Learning ObjectivesAfter completing the activity, you will be able to:Identify key terminology related to consumer behaviour. (15% of overall score)Identify the effects of influences on consumer behaviour. (25% of overall score)Describe the stages in the consumer purchase decision process. (25% of overall score)Apply the steps in the consumer purchase decision process to determine the best decision. (35% of overall score)Evaluation and ScoringYou will be asked to respond to various questions as you complete the activity, and your responses may impact both your score and what happens next.You will not have the ability to go back and change your answer, so consider each answer option carefully.Scoring is calculated as follows:Points are received based on the answer you select for each question, and questions are tied to multiple scoring categories associated with the learning objectives.Your scores for each category are based on the total number of points you earn for the associated questions.You will receive one final activity score at the end of the activity that combines your results from each category.Your instructor has assigned a total point value for this assignment. Your assignment grade is calculated based on the final percentage score you earn at the end of the activity. looking for characters, dialogue, setting, plot, and descriptive language. Prompt: What is the hardest thing about being an 8th grader? A classified balance sheet ______ witney peter, a professional dart player has a seventy percent chance of hitting the bull's eye on a dartboard with and throw. assume that that the throw of a dart is independent. what is the probability that pete hits five or fewer of his next ten shots? How do you know if it's greater than or less than on a graph? The normal boiling point of methanol (CH3OH) is 64.6C. Given that the vapor pressure of methanol is 75.0 torr at 15.2C, calculate the molar enthalpy of vaporization of methanol. Help!!!!!! See image. Consider this diagram.(6x+30)(8x+10)Given: m/CEA (8+10): m/AEDProve: - 10StatementPart AMr. Avila asked his students to write either a two-column proof or a paragraph proof for the question shown.Student A and Student B each made a mistake in their proof. Identify each student's mistake and the step in which theymade it.Type your response in the box.mZCRAmZAED838ZCEA and ZAED are a nearpair.m/CEA + m/AED8z + 10 + 6x + 3014x + 40 18014 140-10Student A's Proofand=180L 180(6m+30)Reasongivendefinition of linear pairLinear pairs aresupplementary.substitutionLike terms can be combined.addition property of equalitydivision property of equalityStudent B's ProofWe are given that mZCEA (8 + 10) andm/AED = (6x +30) By the definition of verticalangles, we know that ZCEA and ZAEDare verticalangles. Vertical angles have equal measures, som/CEA m/AED substitutingm/CEA -3x + 10and m/AED - 6x + 30 intom/CEAZAED, we get8+10= 6z+ 30. Using the subtraction propertyof equality on the variable terms, this becomes2z+10 30. Using the subtraction property ofequality on the constants, we get 2z - 20 By thedivision property of equality, we prove that m 10-- What did Mendel conclude about how traits are inherited in pea plants? How does Ophelia develop? What is an example of US sanction on another country? What is blank verse with examples? which property of jupiter's moon europa makes it a more likely candidate to harbor extraterrestrial life? select one: a. satellite images show seasonal variations on its surface. b. satellites have detected oxygen in its atmosphere. c. hydrothermal activity provides energy to heat and melt an ocean of water beneath its surface. d. jupiter's powerful magnetic field generates electrical activity on its surface. For a client with graves' disease, which nursing intervention promotes comfort? Fill in the blank: A data analyst wants to quickly create visualizations and then share them with a teammate. They can use _____ for the analysis.1 / 1 pointthe R programming languagestructured query languagea dashboarda database When conducting an evaluation, it is not good practice to provide on-site feedback as you uncover information that could benefit the agencies work during the study. Which of the following characters most plausibly symbolizes the sense ofdisplacement that African Americans faced before and during the civil rightsera?O A. Theresa, a new lawyer attempting to thrive in a firm that is runentirely by menOB. Margaret, a single mother who is expected to work two jobs at thesame timeC. Peter, a wrongly convicted man who tries to convince people thathe's innocentO D. Warren, a deceptive con artist who lives up to his reputation as acrook What does the pig represent in Animal Farm? How to find the value of a + b + c.I know the answer but I do not know how to arrive at the answer:[tex]answer = 9[/tex] What is a band of indigenous people? a large group with a chief a close, extended family a tribe with many villages a federation with many groups.