The length of a right rectangular prism is 3.4 cm. The width of the prism is 1.2 cm. The volume of the prism is 11.016 cubic cm. What is the height of the prism? (Hint: V = L x W x H)

Answer:

a. (7, 27) Polly was incorrect.

b. (3, 1) Polly was correct.

Step-by-step explanation:

a.

y = 4x - 1

2x - y = -13

We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.

2x - y = -13

2x - (4x - 1) = -13

First distribute the negative sign across the parentheses.

2x - 4x + 1 = -13

Combine like terms.

-2x + 1 = -13

-2x = -14

Divide both sides by -2.

x = 7

Now that we know x, plug its value into one of our original equations.

y = 4x - 1

y = 4(7) - 1

Solve.

y = 28 - 1

y = 27

Our solution is (7, 27).

Let's check our answer by plugging both values into one of our original equations.

2x - y = -13

2(7) - 27 = -13

Solve.

14 - 27 = -13

-13 = -13

Your solution is correct.

Polly's solution was (-2, -9), which is incorrect.

b.

3x + 6y = 15

-2x + 3y = -3

Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.

We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.

-2x + 3y = -3

-2(-2x + 3y = -3)

4x - 6y = 6

Write the equations together.

3x + 6y = 15

4x - 6y = 6

Now we can see that the y variable will cancel out.

Apply the elimination method.

3x + 6y = 15

4x - 6y = 6

________

7x = 21

Divide both sides by 7.

x = 3

Now that we know x, plug its value into one of our original equations.

3x + 6y = 15

3(3) + 6y = 15

Solve.

9 + 6y = 15

6y = 15 - 9

6y = 6

y = 1

Our solution is (3, 1).

Let's check our answer by plugging both values into one of our original equations.

-2x + 3y = -3

-2(3) + 3(1) = -3

Solve.

-6 + 3 = -3

-3 = -3

Your solution is correct.

Polly's solution was (3, 1), so she was correct.

Hope this helps!

Answer:

n/3+2 =-2

n+6=-6

n=-12 is your answer

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{n}{3}[/tex] + 2 = - 2 ( subtract 2 from both sides )

[tex]\frac{n}{3}[/tex] = - 4 ( multiply both sides by 3 to clear the fraction )

n = - 12 → B

Answer:

Option A

Step-by-step explanation:

Just substitute each value of x in the graph to find the correct function.

When be graph the functions given, we find that option A is correct.

To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point. Keep plugging in x-values to get coordinates to plot more points on the graph, and then you will see your graphed function once the dots are connected.

Using the graph,

For x < = -2, y = 5.

For -2 < x < 1, the function is a polynomial.

We have two options, either [tex]y = x^{2} -5\ or\ y = x^{2} +5[/tex]

The polynomial must have the point (0,-5) on it.

For [tex]y = x^{2} -5[/tex] , when x = 0, y = -5.

Hence, it is the correct option.

For x >= 1,

Using graph, we see that when y = 0, x lies between 3 and 4.

For equation, [tex]y = 2^{(x-2)} - 2\\[/tex], when y = 0, x = 3, so it is not correct.

For equation, [tex]y = 2^{(x-2)} - 3\\[/tex], when y = 0, x = 3.584, hence it is correct.

Learn more about graphing a function here

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The quotient of the fractions 2/3 divided by 5/4 is 8/20

A fraction can be simply described as the part of a whole variable, number or element.

There are several types of fractions in mathematics, which includes;

Quotient can simply be described as the product of division of two numbers or variables,

From the information given, we have;

2/3 ÷ 5/4

take the inverse of the divisor and multiply

2/3 × 4/5

Multiply the values

8/20

Hence, the value is 8/20

Learn more about fractions here:

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Answer:

1/3

Step-by-step explanation:

y = mx + b

m is the slope and b is your y-intercept.

Answer:

m = 1/3

Step-by-step explanation:

Answer:

Geographic Features of Ancient Greece

Step-by-step explanation:

Greece has all these attributes on the list

Answer:

Geographic Features of Ancient Greece

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzz give brain alist

option ( C )

5

...........

Answer:

C. 5

Step-by-step explanation:

The degree is the highest exponent in the polynomial and in the polynomial given, 3x^5 has the highest exponent, being 5, so that would be the degree.

Hope this helps :)

Answer:

time in weeks

Step-by-step explanation:

Answer:

150 yd

Step-by-step explanation:

Since the line segment is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{250}{375}[/tex] = [tex]\frac{x}{225}[/tex] ( x is the distance from the hole to the oak tree )

Cross- multiply

375x = 56250 ( divide both sides by 375 )

x = 150

The hole is 150 yards from the oak tree.

Answer:

19/4 =12

Step-by-step explanation:

The 19/4 is a fraction, 19 being the top (numerator)

and 4 being the bottom (denominator)

Answer:

g(x) = -x²

Step-by-step explanation:

By looking at the graph and equation of the blue quadratic line, you know the y-intercept is 4. When you look at the red one you can see the y-intercept is 0 so then the equation should be g(x) = -x²

Answer:

Answer B

Step-by-step explanation:

If both the function have the same shape, it means that the function f(x) is just shifted downwards to obtain function g(x).

The function f(x) is given as,

[tex]f(x) = 4 - x^{2}[/tex]

Shifting the curve downwards by 4 unites, the function g(x) is obtained,

[tex]g(x) = f(x) - 4\\g(x) = 4 -x^{2} - 4\\g(x) = -x^{2}[/tex]

I think option B is the correct choice.

Answer:

There are so many!

For circumference use = 2 pi r

For area use = pi r²

I have told only formula, else you may lack practice. try to solve yourself

Answer:

Step-by-step explanation:

Your y= -x2 -10x +1 should be written as y = -x^2 -10x +1.  This is a quadratic function.  Because the coefficient (-1) of the x^2 term is negative, we know immediately that the graph (a parabola) opens down, and thus has a maximum.

Complete question :

The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?

Answer:

16.2 million

Step-by-step explanation:

Given the equation :

A=16.2e^0.01^t

Where, t = number of years after 2003

The population in year 2003 ; can be obtained thus ;

t = 2003 - 2003 = 0

Put t = 0 in the equation :

A(0) =16.2e^0.01^0

A(0) = 16.2 * 1

A(0) = 16.2

Hence, population in 2003 is 16.2 million

Answer:

3

Step-by-step explanation:

5 + 4 = 9

12 - 9 = 3

In order to find the missing length you will need to add up the given lengths then subtract that from the total perimeter.

Answer:

BC ≈ 4.17

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × cos43° = BC , then

BC ≈ 4.17 ( to 3 sf )

Answer:

18

Step-by-step explanation:

6 friends times 5 cookies is 30 cookies in total

30 cookies minus 12 cookies already made is 18!

Answer: 18 cookies

Step-by-step explanation:

Tara invites 6 friends, each friend gets 5 cookies.

So, 6 x 5 to find how many cookies are for 6 friends.

6 x 5

= 30 cookies

Tara only has 12 cookies. How much more does she need?

Everyone should get 30 cookies, but there is only 12.

Subtract to find the difference!

30-12=18

Answer:

150

Step-by-step explanation:

Answer:

One solution.  

Step-by-step explanation:

X=2/3 or x=2.6666

Answer:

x=2/3

Step-by-step explanation:

3x + 7 = 9x + 3

Collect like terms (subtract 3x from both sides and subtract 3 f4=rom both sides)

The resulting equation will look like this:

 4=6x

=6x=4

Divide be 6 on both sides:

x=4/6

Simplify:

x=2/3 :-)

Answer:

The answer is: 7/3 or if ya want it simplified ( 2 1/3)

~ hope this helped, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

2 and 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

im pretty sure it is D

Step-by-step explanation:

Answer:

C) H

Step-by-step explanation:

It can only be a function when every y has a different x. There cannot be an x with multiple y’s

Answer:

420

Step-by-step explanation:

volume = length x width x height

12 x 5 x 7 = 420