For all values of x,
f(x) = x/5 + 3
and
g(x) = 10x2 + 5
Work out fg(x).
Give your answer in the form ax2 + b where a and b are integers.

Answers

Answer 1

Answer:

2[tex]x^{2}[/tex]+4

I would give a step by step explanation but it keeps saying I'm typing inappropriate words so message me if u need

Answer 2

Hence, The value of fg(x) in the form of ax2+b is 2x2+4.

What is composition of functions?

Composition of function is an operation in which we combine two or more function to generate a single function. In this question the function g is places in the place of x.

How to solve?

Given f(x)=x/5 +3

g(x)=10[tex]x^{2}[/tex] + 5

the composition of function ,

fg(x) = g(x)/5 + 3

fg(x) = (10[tex]x^{2}[/tex] + 5)/5 + 3

       = 2[tex]x^{2}[/tex]+ 1 + 3

       = 2[tex]x^{2}[/tex] + 4

hence, fg(x)= 2[tex]x^{2}[/tex]+4 where a=2 and b=4

learn more about composition of functions

https://brainly.com/question/10687170

#SPJ2


Related Questions

HELP ASAP!
Find the equation of the line.
Use exact numbers.
y=___x+___​

Answers

Answer:

y = 3/4x-2

Step-by-step explanation:

Answer:

Y=3/4x-2

Step-by-step explanation:

can someone solve -192= -6 (6x - 4) step by step?

Answers

Answer:

x= 4 2/3 OR 14/3 OR 4.6... –– 4 2/3 and 4.6... are the simplest form.

Step-by-step explanation:

Your original equation is -192 = -6 (6x - 4):

1. -192 = -6 (6x - 4)

Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:

2. -192 = -36x + 24

We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:

3. -192 + 24 = -36x + 24 - 24

Divide both sides of the equations by -36 to get "x" by itself:

4. -168 / -36 = -36x / -36

Simplify the fraction of 24/36 by 12:

5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x

4 2/3, 14/3, 4.6... = x

slope of (4,-1) (3,-2)​

Answers

Answer:

-1/2

Step-by-step explanation:

-1/2

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HURRRY TIME LIMIT!!!!!!!!!


A hotel rewards club wants to randomly select 100 of its 5,000 members to participate in a survey. The club wants to determine if people’s opinions differ based on age. There are 2,200 members between the ages of 25 and 50, and there are 2,800 who are age 51 or older. The club decides to randomly select 44 members between the ages of 25 and 50, and 56 members ages 51 and older. Is the sample of 100 members a simple random sample? Yes, because the hotel rewards members were randomly selected for the sample. Yes, because each hotel rewards member has the same chance of being selected. No, because the sample of 100 is too small a sample to represent the population. No, because each sample of 100 does not have the same chance of being selected.

Answers

Answer:

No, because each sample of 100 does not have the same chance of being selected.

Step-by-step explanation:

Simple random samples require that every possible sample of the population has an equal chance of being selected. Because of the fact that certain ages are being picked at certain amounts, not every possible sample has the same chance of being selected, so this is not an SRS.

Answer:

D.

Step-by-step explanation:

No, because each sample of 100 does not have the same chance of being selected.

There are 72 students for every 6 teachers on the field trip. What is the unit rate, in students per 1 teacher

Answers

Answer:

There are 12 students per 1 teacher.

Step-by-step explanation:

To find the unit rate you divide 72/6

answer: 12

step by step explanation: divide 72 and 6

72/6

=12

Based on the given information, what will be the retained earnings for a given accounting period?

Items Amount ($)
total expenses 50,000
total income 75,000
dividend paid 5,000


A.
30,000
B.
15,000
C.
25,000
D.
20,000

Answers

the answer is letter c

Answer:

20,000

Step-by-step explanation:

It is right on plato/edmentum

You just take 75,000-50,000=25,000 and then since it is dividend paid you will subtract the 5,000 from 25,000 and then you will get 20,000.

So 20,000 is your answer. :)

For problems 12 - 14, Determine whether each sequence appears to be an
arithmetic sequence. If so, find the common difference and the next three terms.

12. 1, 2, 3, 4, 5, ...

13. 3, 0, -3, -6, ...

14.2, 4, 6, 9, 11, ...

15. Find the 50th term if d = 5 and a = 10

Answers

Step-by-step explanation:

⇒12)It is an arithmetic sequence.

   d=2-1=3-2=4-3=1

    a(n) = a +(n-1)d

    a(n) = 1+(n-1)1

The next three terms:

a(6) = 1+(6-1)1=6

a(7) = 1+(7-1)1=7

a(8) = 1+(8-1)1=8

⇒13)It is an arithmetic sequence.

   d=0-3=-3-0=-6+3=-3

    a(n) = a +(n-1)d

    a(n) = 3+(n-1)-3

The next three terms:

a(5) = 3+(5-1)-3=-9

a(6) = 3+(6-1)-3=-12

a(7) = 3+(7-1)-3=-15

⇒14)It is not an arithmetic sequence.

⇒15) a(50) = 10 +(50-1)5

                  =255

I hope this helps

What is the remainder when (4x3+2x2-18x+38)/(x-3)?

a.2
b.12
c.96
d.110

Answers

Answer:

choice A 2

Step-by-step explanation:

4(23)+2(22)−(18)(2)+38

2−3

=−42

good luck!

The answer is actually d.110

Here’s the explanation of why :)

Please help ASAP.

A ferris wheel has a diameter of 42 feet. About how far does it travel if it makes 10 revolutions?

Answers

Answer:

the freak

Step-by-step explanation:

15. What does the y-intercept represent in a
real-world function?
a. initial value
b. final value
c. rate of change

Answers

C rate of change is the answer

plz oh plz with a cherry on top help me with this because it is due tonight help me wind the two decimals plzzzzzzzzzzzzz

Answers

It lies between 7.1 and 7.2

Answer:

7.1 and 7.2

Step-by-step explanation:

if you look on the number line 51 is in between what two numbers

Please help i need to get this done asap !

Answers

Answer:

Step-by-step explanation:

Equation of line k is   y = (-4/7)x + 1

point (-5,-10); m = -4/7

Line L is perpendicular to k so the perpendicular slope will be 7/4

Equation of line L is  (y - y1) = m(x-x1)

y+10 = (7/4) (x +5)

4y + 40 = 7x + 35

4y = 7x - 5

y = (7/4)x - (5/4)

-
14. The dimensions of a box are (x + 1), (4x − 2), and (3x + 4). What is the volume of the box?
O 12x³ +22x² - 2x -8
O 8x +3
O8x³+3
O 12x³ +22x²+2x-8

Answers

Answer:

12x³ +22x²+2x-8

Step-by-step explanation:

12x³ +22x²+2x-8

7th grade math help me please :))

Answers

it decreased from week one to week two by -1.875, then it started to increase from 0.625 then to 1.5 by week 4


Find the mean, median and mode of the following
data: 75,62,88, 55, 90, 95, 85, 69, 62, 78, 90,95,90,95,80, 71, 44,44. 57, 68,90

Answers

Answer:

mean-76.3285

median-79

mode-95

Step-by-step explanation:

mean-

11.3 × 20.5
help asapppppp i gota lotta math work to do :((((((((((((((((((((((((((((

Answers

Answer:

231.65

Step-by-step explanation:

☺️☺️☺️☺️☺️☺️☺️☺️

Answer:

231. 65 is the answer

hope this answer will help you

have a great time

heLP mE PLLLLLLssssssssssssssssssss

Answers

Answer:

y=65x+250

Step-by-step explanation:

A figure is dilated by a factor of 6 the area will change by a factor of what

Answers

Answer:

i think it is 69 thank you

Answer:

factor of 36

Step-by-step explanation:

Given the factor 6, then the area factor is

6² = 36

solve for x. y = 2x^2 + 7x + 3. please show work!!

Answers

Let y = 0

0 = 2x^2 + 7x + 3

Using the quadratic formula, we get x = -3 and x = -1/2.

Answer:

Answer and Work is in photo

Step-by-step explanation:

System of equations
2x+4y=8
X=3y-6

Answers

2x + 4y = 8
x = 3y - 6

2x + 4y = 8
2 * ( 3y - 6 ) + 4y = 8
6y + 12 + 4y = 8
8y = 8 - 12
8y = - 4
y = -4 / 8
y = -1 / 2

What is the slope of the line in the graph shown below?

Answers

The slope is 3/2 or 1.5
Yeah The slope is 3/2

this is a geometry question I know the answers are 81 and 9 because of the back of the book but I don't understand how it got to that point ​

Answers

Answer:

18°

Step-by-step explanation:

let the angle be x , then its complement is 90 - x

we are told the angle is [tex]\frac{1}{4}[/tex] of its complement , then

x = [tex]\frac{1}{4}[/tex] (90 - x) ← multiply both sides by 4 to clear the fraction

4x = 90 - x ( add x to both sides )

5x = 90 ( divide both sides by 5 )

x = 18

then the angle is 18° and its complement is 90° - 18° = 72°

Answer:

The angles measure 18° and 72°.

Step-by-step explanation:

81 and 9 is not correct for this problem.

9 is not 1/4 of 81, so 9 and 81 cannot be the answer, although it is true that angles measuring 9° and 81° are complementary since 9 + 81 = 90.

You need to know what complementary angles are.

Definition:

Two angles are complementary if the sum of their measures is 90°.

Each angle is said to be the complement of the other angle.

You have two complementary angles, both of whose measures are unknown.

Call the smaller measure x and the larger measure y.

Since the angles are complementary, the sum of their measures is 90°.

x + y = 90

The measure of one angle is 1/4 the measure of the other angle.

If the smaller angle's measure is 1/4 of the larger angle's measure, then the larger angle's measure is 4 times the smaller angle's measure.

That means that y = 4x.

You have two equations and two unknowns:

x + y = 90

y = 4x

This is a system of equations. We will solve it using the substitution method.

Since y = 4x, where you see y in the first equation, substitute it with 4x

x + y = 90

x + 4x = 90

5x = 90

Divide both sides by 5.

x = 18   <---- smaller angle

y = 4x = 4(18) = 72   <----- larger angle

Answer: The angles measure 18° and 72°.

Check: Do the measures 18 and 72 add to 90?

18 + 72 = 90    Yes.

Is the measure of the smaller angle 1/4 the measure of the larger angle?

18/72 = 9/36 = 1/4    Yes.

18 and 72 is the correct answer.

help anyone?????????????????????:))))))))))))))))

Answers

the answers are 7.5 , 12 , 27

Answer:

Step-by-step explanation:

1 cupcake=1.5 dollars

5 cupcakes=5×1.5

=7.5

1.5 dollars=1 cupcake

15 dollars=15/1.5

=10 cupcakes

x^2-5x=14

I am supposed to get 14, but I don’t know how to get there. Also, how would check it on a calculator?

Answers

Answer:

x=-2

Step-by-step explanation:

just plug in random numbers until you get your answer, it works for me

If 7 apples cost 28 dollars how much does 1 apple cost

Answers

28 divided by 7 = 4
So that means 1 Apple costs 4 dollars

Answer:

$4 per apple.

Step-by-step explanation:

This is pretty simple, you can divide 28 divided by 7 or you can go through your 4 times table and figure out that 4 times 7 equals 28.

PLEASE HURRY!! HELP NEED!!​

Answers

Answer:10

Step-by-step explanation:

To find the missing side use Pythagorean theorem (a^2+b^2=c^2)

6^2 + 8^2 = c^2

36 + 64 = c^2

Add 36 and 64

100 = c^2

Square root both side to get rid of the square on the letter c and you have to do both side because what you do to one side you must do to the other.

C=10

7. What is a fair price to pay for the spinner game shown here?
Land on a and win $1
Land on b and win $2
Land on cand win $5

Answers

Land on a and win $1 and land on a b and win $2 and land in

Answer:

$2.50

Step-by-step explanation:

1+2=3

1+5=6

2+5

I’m like super confused can somebody help me please?

Answers

Equations are steeper when their slope's positive value is higher (ignore negatives when determining how steep a slope is). The slope is the value in front of x. If there isn't a value in front of x, then it is assumed to be 1.

Write as a decimal. Use bar notation if necessary.​

Answers

write as a decimal no number

I LONELY

2x6x0x7-1-5+16x87x9+0-2x67=

Answers

Answer:

12388

Step-by-step explanation:

Used calculator

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