PLEASE HELP ME!!!!
For the given functions f and g, find the indicated composition.
f(x) = -6x +5, g(x) = 2x + 8; (g of)(x)
A. - 12x - 2
В.- 12x + 53
C. 12x + 18
D.- 12x + 18

Answers

Answer 1

Answer:

D. -12x + 18

Step-by-step explanation:

f(x) = -6x +5; g(x) = 2x + 8

[g o f](x) = g(f(x))

this means that in g(x), everywhere there's an x, f(x) replaces it. [g o f](x) is represented at the following: (f(x) is in bold)

g(f(x)) = 2(-6x +5) + 8                  distribute the 2 to (-6x + 5)

g(f(x)) = -12x + 10 + 8                   combine like terms

g(f(x)) = -12x + 18


Related Questions

Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,

one pair of pants, and one pair of shoes, how many unique outfits can she make?

Answers

Answer:

She can make [tex]18[/tex] unique outfits.

Step-by-step explanation:

Jamie has [tex]3[/tex] options to choose from for a shirt (white, blue, or pink), [tex]3[/tex] options to choose from for pants (black, white, or beige), and [tex]2[/tex] options to choose from for shoes (black or brown). Therefore, she can make [tex]3*3*2=18[/tex] unique outfits from these options. Hope this helps!

Expand the expression -3 (4s+-7). Then select the correct answer.
A. 12s - 21.
B 12s + 21.
C -12s + 21.
D -12s - 21​

Answers

Answer:

I think A is the correct answer because -3+4 is 1 because 4 has greater sign + and +- gives result - thus,-3-7 gives - 21. I hope that it would be meaning ful for you ...

Describe a congruence transformation that mapsABCD to APQR.

Answers

I can’t see very well dude sorry can’t help you out

A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.

Answers

Answer:

The answer is "0.586"

Step-by-step explanation:

Please find the solution to the given question:  

[tex]z= \frac{0.65-0.61}{\sqrt{\frac{0.65 \times 0.35}{100}+\frac{0.61 \times 0.39}{100}}}[/tex]

  [tex]= \frac{0.04}{\sqrt{\frac{0.2275}{100}+\frac{0.2379}{100}}}\\\\= \frac{0.04}{\sqrt{0.002275+0.002379}}\\\\= \frac{0.04}{\sqrt{0.004654}}\\\\= \frac{0.04}{0.0682202316}\\\\=0.586336327\\\\[/tex]

The length of a rectangle is 2 times it’s width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle

Answers

Answer: 72 divided by 2 is 9. So the length is 9

Step-by-step explanation:

Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?

Answers

15

Step-by-step explanation:

Answer:

I think 30 im so sure

Step-by-step explanation:

uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye

Pls help I’ll brainlest due ASAP

Answers

There is no picture Attached
The equation $145 - $30x = $55

HELP PLEASE IT IS EASY I SWEAR PLEASE HELP I SWEAR IT EASY PEASY

Answers

The Height is 15cm Pls give thanks

Answer:

the answer is 15

Step-by-step explanation:

Find the slope of the line for the angle.
330 degrees

Answers

m= -1/3
How this helped!

Mori just replaced the showerhead in her bathroom. the old one used 5.75 gallons per minute of water. Her new showerhead uses 2.5 gallons per minute. how many times has much water did Mori's old showerhead use?​

Answers

Answer:

3.25

Step-by-step explanation:


a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches ​

Answers

Answer:

Step-by-step explanation:

Just give me the answer

A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?

Answers

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).
a) 345/377 b) 135/377 c) -152/377 d) 352/377

Answers

Answer:

c) -152/377

Step-by-step explanation:

yan po ang tamang sagot ko..

Solve the following system of linear equations by graphing:
2x + 2y = 10
8x + 8y = 24

Answers

Answer:

Step-by-step explanation:

-8x - 8y = -20

8x + 8y = 24

0 ≠ 4

2y = -2x + 10

y = -x + 5

8y = -8x + 24

y = -x + 3

inconsistent

please solve and receive brain list ​

Answers

Answer:

-1 and -4

Step-by-step explanation:

Answer:

x = -1 y = -4

Step-by-step explanation:

6x + 2y = -14

-12x + 5y = -8

x= -1

y = -4

Would this be infinite solutions or no solution?​

Answers

no solution, right cause 10 60 and 30 are forever going I may be wrong but I assume it’s right

A bag contains 3 blue marbles, 7 red marbles, and 5
yellow marbles. If Joe picks 1 marble from the bag at
random, what is the probability that it will be blue?

Answers

Answer:

3 out of 15 I believe is the answer

Step-by-step explanation:

there are 3 blue marbles so he already has a chance out of 3, then I believe you add them all together which is 15 :) hope this helps

Find the mean. Round to the nearest tenth if necessary.
37.4, 11.7, 35.4, 18.6, 5.7, 48.8, 18.9, 30, 15.1, 26.6, 35.7, 40.2

Answers

Answer:

27

Step-by-step explanation:

The actual mean is 27.008333333333, round that as you will.

Answer:

27 is the answer

Step-by-step explanation:

Took the test and got it right

Convert 199º to radians. Round to 2 decimal places.

Answers

Answer:

3.47

Step-by-step explanation:

Answer: 199π/180

Step-by-step explanation:

The formula for converting degrees to radians is [tex]x[/tex]°·[tex]\frac{\pi }{180}[/tex]

In this case, that gives you [tex]\frac{199\pi }{180}[/tex]. 199 is a prime number, so this can't be simplified down any further.

Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by [tex]\frac{180}{\pi }[/tex] to cancel out pi.

Hope this helps :)


Write the number 16408 in words.

Answers

Answer:

Step-by-step explanation:

Sixteen thousand, four hundred and eight

Hope this helps!

Solve the system of linear equations by substitution.Check your solution.

Answers

Step-by-step explanation:

x=-2

y=-1

........................

Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

purple paint is made from using red paint and blue paint in the ratio 1:2

write an equation for y in terms of x to show the relationship between the amount of red paint (y) and the amount of blue paint (x)​

Answers

Answer:

[tex]y = \frac{x}{2}[/tex]

Step-by-step explanation:

Given

[tex]y : x = 1 : 2[/tex]

Required

Represent as an equation

[tex]y : x = 1 : 2[/tex]

Represent as a fraction

[tex]\frac{y }{ x} = \frac{1}{ 2}[/tex]

Cross multiply

[tex]y * 2 = x*1[/tex]

Divide both sides by 2

[tex]y = \frac{x*1}{2}[/tex]

[tex]y = \frac{x}{2}[/tex]

Sally is teaching a nursery rhyme to her kindergarten students. She found that 4 out of every 10 students know the rhyme. If Sally has a total of 20 students, how many students in her class know the rhyme?

Answers

Step-by-step explanation:

the answer is

[tex]= \frac{4}{10} \times 20 = 8[/tex]

A triangle has sides with lengths of 3 feet, 6 feet, and 8 feet is it a right triangle?

Answers

Answer:

[tex]Solution,\\Longest~side(h) = 8ft.\\Perpendicular(p) = 3ft.\\Base(b) = 6ft.\\Now, \\h^2 = (8)^2 = 64sq.ft.\\p^2+b^2 = 3^2+6^2 = 9+36 = 45sq.ft.\\Since, h^2\neq p^2+b^2, ~the~triangle~is~not~a~right~triangle.[/tex]

Write an expression that shows 10 *4.

Answers

5x8= 10x4
40=40
40 is equal to 40


Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What is her prevent of error

Answers

Answer:

Step-by-step explanation:

Donna guessed 400 but there were 480 so she was off by 80

Can someone please help me

Answers

Answer:

A) 23cm.

B) 32.0625 square cm.

Step-by-step explanation:

Perimeter: Just add all the sides together like so:

4.75x2 + 6.75x2 = 23cm.

Area: Multiply the base and height together:

4.75 x 6.75 = 32.0625 square cm.

23cm

4.75 + 4.75 = 9.50

6.75 + 6.75 = 13.50

13.50 + 9.50 = 23.00

The area of a rectangular garden is 120 square meters. The width is 4 meters longer than one-half of the length. Find the
length and the width of the garden. Use the formula, area = length • width.

Answers

Answer:

Step-by-step explanation:

“The area of a rectangular garden is 120 square meters.”

LW = 120

“The width is 4 meters longer than one-half of the length.”

W = 0.5L + 4

L = 2W-8

Substitution

(2W-8)W = 120

2W^2-8W-120 = 0

W^2 -4W-60 = 0

W = 10, -6

-6 is an extraneous solution.

W = 10 meters

L = 2W-8 = 12 meters


What is the multiplier for a 30% decrease. *


Answers

Answer:

0.7

Step-by-step explanation:

Let the number to be decreased be x. To decrease x by 30 %, the result will be

= x - 30% * x

= x - 0.3x

= 0.7x

From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7

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