Answer:
C(x) = (x-5)^2 + 2
................
Answer
[tex]5+2\sqrt{x} 13=12.211[/tex] or 5−2 this is where the square root would go 13=−2.211
Step-by-step explanation:
1.1 Factoring x2-10x-27
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is -27
Step-1 : Multiply the coefficient of the first term by the constant 1 • -27 = -27
Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -10 .
-27 + 1 = -26
-9 + 3 = -6
-3 + 9 = 6
-1 + 27 = 26
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
2.1 Find the Vertex of y = x2-10x-27
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 5.0000
Plugging into the parabola formula 5.0000 for x we can calculate the y -coordinate :
y = 1.0 * 5.00 * 5.00 - 10.0 * 5.00 - 27.0
or y = -52.000
A laundry detergent recommends 1/4 cup of detergent for a 1/2 load of clothes. How much detergent is recommended for 4 loads of clothes?
Answer:
2 cups
Step-by-step explanation:
Because you have 4 loads of clothes you would have to use
1/4 of a cup 8 times
1/4*8=8/4 simplified is 2 which no fractions
so the answer is 2 cups for 4 loads of clothes.
You spend a total of 300 minutes doing math homework Monday through Friday. How many hours will you spend on math homework by the end of this semester (18 weeks)?
Answer:
90 hour
Step-by-step explanation:
300 minutes is for 1 school week
so if you multiply 300 minutes for 18 weeks it results as 5400 minutes.
300 × 18 = 5400 minutes
To get the number of hours you should divide 5400 minute by 60 minutes ( which is one hour )
5400 ÷ 60 =. 90 hours
You spent a total of 90 hours studying math in 18 weeks.
can someone please help with this?
Part A
Answers:
Coefficient = 10.50 or 15 (pick one value)Variable = h or c (pick one)Constant = 50------------------
Explanation:
The variables are simply letters. They are placeholders for numbers to be plugged in later. Think of them like empty boxes where numbers will go. In this case, the variable h represents the number of hours Tyler works, and c is the number of new accounts she opens.
The coefficients are the numbers multiplied with the variables. They are to the left of the variable.
The constant 50 is not attached to any variable.
===================================
Part B
Answer: She earns $618.5
-------------------
Explanation:
We're told she worked 37 hours. So we'll replace h with 37.
Also, she opened 12 new accounts. So c = 12
This means...
10.50*h + 15*c + 50
10.50*37 + 15*12 + 50
388.5 + 180 + 50
618.5
is the amount she earns
===================================
Part C
Answer: The coefficient changes. Specifically, the coefficient 10.50 changes to 11.25
-------------------
Explanation:
The constant never changes (hence the name) no matter how much of a raise Tyler gets. The other coefficient doesn't change either because she would still get $15 per new account. All that's changed is the hourly wage.
If we're told that Tyler got a raise to $11.25 per hour and she now earned $20 per new account, then both coefficients would change and the new equation would be 11.25h+20c+50
-7/10 - 4/10 =
Hurry plz
Answer:
[tex] - 1 \frac{1}{10} [/tex]
Step-by-step explanation:
[tex] - \frac{7}{10} - \frac{4}{10} [/tex]
The two fraction have the same denominator , so put them under a common denominator
[tex] \frac{ - 7 - 4}{10}[/tex]
Simplify
-7-4=-11
[tex] \frac{ - 11}{10} = - \frac{11}{10} [/tex]
write in mixed fraction form
[tex] - 11 \div 10 = 1 \: remainder \: 1 \\ = - 1 \frac{1}{10} [/tex]
What are the steps of determine an inverse of a function?
Step-by-step explanation:
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
The steps for finding the inverse of a function are given below.
What is an inverse of a function?A function accepts values, performs particular operations on these values and generates an output. The inverse function agrees with the resultant, operates and reaches back to the original function.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f⁻¹(x).
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can anyone help me with this i’m not to good in geometry
Answer:
I think the ans is A. inverse.
Point L is on line segment KM. Given LM = 2 and KM = 19, determine
the length KL.
Answer:
17
Step-by-step explanation:
i am in doubt with the answer
Answer:
[tex]\huge\boxed{KL = 17}[/tex]
Step-by-step explanation:
If L lies on the line segment KM. It means that:
K_____?__________L___2__M
|<--------------------19------------------->|
Given that:
LM = 2
KM = 19
So,
KM = KL + LM
19 = KL + 2
Subtracting 2 to both sides
KL = 19-2
KL = 17
Rose has a fish tank in the shape of a rectangular prism. The fish tank has a length of 20 inches and a width of 10 inches Rose pours 15 gallons of water into the fish tank How
hoh, to the nearest tenth of an inch, will the water reach in the tank
photo cubic foot of volume holds approximately 746 gallons of water
inches
Copyright 2020 Illuminate Education, Inc. All Rights Reserved
Answer:
17.3 in
Step-by-step explanation:
Given the following :
Length of tank = 20 inches
Width of tank = 10 inches
Amount of water poured into tank = 15 gallons
Volume(V) of tank (rectangular prism)
V = Length × width × height
Height = h
1 gallon = 231 inch³
15 gallons = (231 × 15) = 3465 in³
Hence V = 3465 in³
3465in³ = 20 in × 10 in × h
3465 in³ = 200h
h = 3465 / 200
h = 17.325 in
Height = 17.3 in ( nearest tenth)
True or false all right triangle aré congruent
Answer:
true
Step-by-step explanation:
Answer: True.
Make sure you check each triangle, not all of them are right ones.
Write 3 x x x x y y y y using exponents
Answer:
3 x^4 y^3
just add the number of x's and place that as the exponent and do the same with the y
If:
JK = 6x + 2,
KL=7+4, and
JL= 45,
Find KL.
J
K
L
Answer: 25
Step-by-step explanation: got it wrong and got the answer Took 1 for the team
Answer:
25
Step-by-step explanation:
khan academy :D
The endpoints of AB are A(2,5) and B(4,3). What are the coordinates of the midpoint of
AB?
Answer:
(3,4)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(2+4)/2 = 6/2 =3
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(5+3/2 = 8/2 =4
The midpoint is (3,4)
Answer:
Hey there!
Using the midpoint formula we find the midpoint to be: (3, 4)
Let me know if this helps :)
If $5,500 is invested at 9% annual interest, which is compounded continuously, what is the account balance after 10 years, assuming no additional deposits or withdrawals are made?
Answer:
13527.82
Step-by-step explanation:
The Birdwatching Club has 8 members, 2 girls and 6 boys. What is the ratio of
girls to boys in the Birdwatching Club?
O A. 2:1
O B. 3:1
"O c. 1:3
Answer:
c 1:3
Step-by-step explanation:
2/6 divide it by 1/3 and u get 1:3
Identify two numbers that have a product of -64 and a sum of 0.
Answer:
Step-by-step explanation:
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x 2 + 3x - 2 F(a) =
Amber is making a scale drawing of a movie screen. Her local theater is 60 ft wide and 200 ft tall in her scale drawing the screen has a width of 9 inches what will the height of her screen on her drawing be
Answer:
The height of her screen on her drawing must be 30 inches.
Step-by-step explanation:
The scale factor is obtained by dividing the drawn width by real width of the movie screen:
[tex]k = \frac{9\,in}{60\,ft}[/tex]
[tex]k = \frac{3\,in}{20\,ft}[/tex]
The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:
[tex]h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)[/tex]
[tex]h_{s} = 30\,in[/tex]
The height of her screen on her drawing must be 30 inches.
1. Two angles form a linear pair. The measure of
the larger angle is four times the measure of the
smaller angle. What is the larger angle's
measure?
Answer:
144°
Step-by-step explanation:
let the smaller angle be x then the larger angle is 4x
The sum of a linear pair of angles = 180°, thus
x + 4x = 180 , that is
5x = 180 ( divide both sides by 5 )
x = 36
Thus the larger angle = 4x = 4 × 36 = 144°
Answer:
let the smaller angle be x.Then the bigger angle will be 4x.
x+4x= 180
or, 5x=180
or, x=180/5
there fore, x=36
Again,
4x=4×36
=144
The larger angle is 144.
MATHS | Cousin needs help❤️ question bellow
Katie has a collection of nickels, dimes and quarters with a total value of $3.95. There are 4 more dimes than nickels and 3 more quarters than nickels, how many of each coin does she have?
Answer:
She has 7 nickels, 11 dimes and 10 quarters
Step-by-step explanation:
Total value =$3.95
Let
Nickel = x
Dimes = x + 4
Quarters = x + 3
Every
Nickel = 5 cents
Dimes = 10 cents
Quarters = 25 cents
Total cents = $3.95 × 100
= $395
5n + 10d + 25q = 395
5(x) + 10(x+4) + 25(x+3) = 395
5x + 10x + 40 + 25x + 75 = 395
40x + 115 = 395
40x = 395 - 115
40x = 280
Divide both sides by 40
x= 280/40
= 7
x= 7
Nickel = x = 7
Dimes = x + 4
=7+4
=11
Quarters = x + 3
=7+3
=10
Solve the equation - 5x – 3 = 3x + 13
[tex]-5x-3=3x+13[/tex]
[tex]8x=-16[/tex]
[tex]x=-2[/tex]
Hope this helps.
頑張って!
What is the sum of 7, 13, and -8? *
Answer:
12
Step-by-step explanation:
7 + 13 + (-8)
Keep in mind, adding a negative number is like subtracting that number.
7 + 13 - 8
= 20 - 8
= 12
How to calculate y=6x^2+1
Hi there!
~
⇒ Graph : [tex]y=6x^2+1[/tex]
∴ Rewrite the equation in vertex form.
⇒ [tex]y = 6 ( x + 0)^2 + 1[/tex]
∴ Use the vertex form, [tex]y = a(x - h)^2 + k[/tex] , to determine the values of [tex]a , h ,[/tex] and [tex]k[/tex]
[tex]a = 6 \\h = 0\\k = 1[/tex]
∴ Since the value of [tex]a[/tex] is positive, the parabola opens up.
⇵
∴ Find the vertex [tex]( h,k)[/tex].
[tex](0,1)[/tex]
∴ Find [tex]p[/tex], the distance from the vertex to the focus.
[tex]\frac{1}{24}[/tex]
∴ Find the focus.
[tex]( 0 , \frac{25}{24} )[/tex]
∴ Find the axis of symmetry by finding the line that passes through the vertex and the focus.
[tex]x = 0[/tex]
∴ Find the directrix.
[tex]y = \frac{23}{24}[/tex]
∴ Use the properties of the parabola to analyze and graph the parabola.
Direction: Opens Up
⇒ Vertex: [tex]( 0 , 1)[/tex]
⇒ Focus: [tex]( 0 , \frac{25}{24} )[/tex]
⇒ Axis of Symmetry: [tex]x = 0[/tex]
⇒ Directrix: [tex]y = \frac{23}{24}[/tex]
∴ Select a few [tex]x[/tex] values, and plug them into the equation to find the corresponding [tex]y[/tex] values. The [tex]x[/tex] values should be selected around the vertex.
[tex]x : -2 , -1 , 0 , 1 , 2 \\y : 25 , 7 , 1 , 7 , 25[/tex]
Hope this helped you!
In the figure below, K lies between J and L. Find the location of K so that JK is 1/7 of JL.
Answer:
-22 is the value of K.
Step-by-step explanation:
A simple way to see how far a mid-point or end-point is from another is by adding or subtracting. For this figure I added to see how many numbers would add twice to get from -15 to -29. -14 is the exact number from -15 to -29; divide that by 2 to get half of -14 which is -7. -7 + (-15) gives you -22.
The location of K so that JK is 1/7 of JL is -22.
Given that, K lies between J and L.
We need to find the location of K so that JK is 1/7 of JL.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Now, the distance between the points J and L on the number line is 14.
So, 1/7(14)=2
A simple way to see how far a mid-point or end-point is from another is by adding or subtracting. For this figure, I added to see how many numbers would add twice to get from -15 to -29. -14 is the exact number from -15 to -29; divide that by 2 to get half of -14 which is -7. -7 + (-15) gives you -22.
Therefore, the location of K so that JK is 1/7 of JL is -22.
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this is easy but i’m having a bad day and this is almost due please help i will give brainliest
Answer:
Step-by-step explanation:
okay so if we lay it out...,
f(x) 6-5x x-9 x³ 2x-5 12x+3
f(-3) 21 12 -27 -11 -33
f(-2) 16 -11 -8 -9 -21
f(0) 6 -9 1 -5 3
f(1) 1 -8 1 -3 15
f(2) -4 -7 8 -1 27
okay so the left side is all the f(x) values. So the numbers in the "()" represents "x". Now you just substitute the numbers in the"()" for the "x"'s on the top margins. so...,
f(-3)= 6-5x f(-2)= 6-5x f(0)=6-5x f(1)=6-5x f(2)=6-5x
f(-3)= 6-5(-3) f(-2)= 6-5(-2) f(0)=6-5(0) f(1)=6-5(1) f(2)=6-5(2)
f(-3)= 6+15 f(-2)= 6+10 f(0)=6-0 f(1)=6-5 f(2)=6-10
f(-3)= 21 f(-2)= 16 f(0)=6 f(1)= 1 f(2)= -4
f(-3)=x-9 f(-2)=x-9 f(0)=x-9 f(1)=x-9 f(2)=x-9
f(-3)=(-3)-9 f(-2)=(-2)-9 f(0)=0-9 f(1)=1-9 f(2)=2-9
f(-3)=-12 f(-2)=-11 f(0)= -9 f(1)= -8 f(2)= -7
f(-3)=x³ f(-2)=x³ f(0)=x³ f(1)= x³ f(2)=x³
f(-3)=(-3)³ f(-2)= (-2)³ f(0)=0³ f(1)=1³ f(2)=2³
f(-3)= -27 f(-2)= -8 f(0)= 1 f(1)= 1 f(2)=8
f(-3)= 2x-5 f(-2)= 2x-5 f(0)= 2x-5 f(1)= 2x-5 f(2)=2x-5
f(-3)=2(-3)-5 f(-2)=2(-2)-5 f(0)= 2(0)-5 f(1)= 2(1)-5 f(2)=2(2)-5
f(-3)= -6-5 f(-2)= -4-5 f(0)=0-5 f(1)=2-5 f(2)=4-5
f(-3)= -11 f(-2)= -9 f(0)= -5 f(1)= -3 f(2)= -1
f(-3)=12x+3 f(-2)=12x+3 f(0)=12x+3 f(1)=12x+3 f(2)=12x+3
f(-3)= 12(-3)+3 f(-2)=12(-2)+3 f(0)=12(0)+3 f(1)=12(1)+3 f(2)=12(2)+3
f(-3)= -36+3 f(-2)= -24+3 f(0)= 0+3 f(1)=12+3 f(2)=24+3
f(-3)= -33 f(-2)= -21 f(0)=3 f(1)=15 f(2)= 27
Don't know if you wanted all the work. But I just did it for you so you can see.
Tasha was $422.75 last week. Of that paycheck $42.75 was extra overtime pay for 3 hours. If the rest of the check was Tasha’s weekly earnings for 40 hours, what is her weekly per-hour rate?
The solution is $ 9.50
The weekly per hour rate of Tasha is $ 9.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The weekly per hour of Tasha last week = $ 422.75
The extra overtime pay of Tasha for 3 hours = $ 42.75
The total number of hours working = 40 hours
So , the equation will be
The weekly per hour of Tasha without overtime = weekly per hour of Tasha last week - overtime pay of Tasha for 3 hours
Substituting the values in the equation , we get
The weekly per hour rate of Tasha without overtime = 422.75 - 42.75
The weekly per hour of Tasha without overtime = $ 380
So , The weekly per hour rate of Tasha A = The weekly per hour rate of Tasha without overtime / total number of hours working
Substituting the values in the equation , we get
The weekly per hour rate of Tasha A = 380 / 40
The weekly per hour rate of Tasha A = $ 9.50
Therefore , the value of A is $ 9.50
Hence , The weekly per hour rate of Tasha is $ 9.50
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ln which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV
Answer:
the point (-3, 5) would be plotted in the second quadrant, quadrant ||
Step-by-step explanation:
Is 0.7 a rational or irrational number? why is a rational number
0.7 is a rational number.
Explanation:Because it is a terminating decimal expansion.
Answer:
The decimal 0.7 is a rational number. It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars, after 5 years A. 20-20-20-20-20 B. 100 c. 5•(-20) d. -20•(-5) E. -100 pls answer my
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
Answer:
Step-by-step explanation:
oh im late-......
Solve the given equation for h:
A = 1/2 bh
A = 1/2 bh
Let's simplify the right side.
A = (bh) / 2
Multiply both sides by 2
2A = bh
Divide both sides by b
(2A) / b = h