Let g(x)x and h(x)
. Evaluate .

Answers

Answer 1

9514 1404 393

Answer:

h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

[tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]

Related Questions

PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.

The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.

Answers

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Which trigonometric function is an odd function and why?

The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).

The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)

The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).

Answers

Answer:

second choice is the answer or it can be

The correct answer is option B.

What is odd function?

"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."

For given question,

Consider points A and B on the coordinate plane as shown in following image.

Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]

So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]

Let, AC = y, BC = -y and OC = m

Now, consider sine function

[tex]sin\theta=\frac{AC}{OA}\\[/tex]

⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)

And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]

⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]

⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)

⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))

Now, consider cosine function

[tex]cos\theta=\frac{OC}{OA}[/tex]

⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)

And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]

⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)

⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))

Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

Therefore, the correct answer is option B.

Learn more about odd function here,

https://brainly.com/question/14264818

#SPJ2

Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?

Answers

Answer: Tammy would have 9

Step-by-step explanation:

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

Given that f(x)=x^3, which equation describes the graph of function g?

a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3

Answers

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

i believe it is C. a histogram
(if it’s not then sorry)

Answer:

Step-by-step explanation:

It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.

a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now

Answers

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

I’ll give you five Stars right answer only

Answers

Answer:

Step-by-step explanation:

i think the answer is 58 please give brainliest

Answer:

(a) 18.5ft

(b) 388.5 ft²

Step-by-step explanation:

(a)

She has 79ft of fence = the perimeter will be 79.

Perimeter of a rectangle = 2(length) +2(width)

79 = 2(21)+2(width)

2(width) = 79 - 42

width = 37/2

width = 18.5ft

(b)

Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²

The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)

Answers

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

The quotient of 9 and 3 subtracted from the product of 6 and 2

Answers

Answer:

(6⋅2)−(9/3)

Simplify each term.

12−3

Subtract 3 from 12.

Step-by-step explanation:

A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.

Answers

Answer:

4/4 ?

Step-by-step explanation:

Answer:

4/4

Step-by-step explanation:

Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.

it’s a non calc question

Answers

Answer:

60 Degrees

Step-by-step explanation:

trust me

PLEASE I need help really bad I only have 10 minutes left to turn it in!! I’ll mark you as brainliest please!!!

Answers

Answer:

Area=76.8

Perimeter=49.6

Good luck!

Find the value of x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Please help me please

Answers

Answer:

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?

Answers

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

D is going in the 4th quadrant. Please help

Answers

What are you asking here? Are you asking if D is the right answer? If so then I can’t see D.

Devin has a rectangular vegetable garden. He planted tomatoes in section of the garden with an area of 6 square yards. There were 30 square yards remaining for Devin to plant zucchini. Let g represent the total area of the garden. Which equation models the problem? Solve the equation to find the total area of the garden. g =

Answers

Answer:

g=30y^2+6y^2

Step-by-step explanation:

30 years left after six were taken

Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m

Answers

9514 1404 393

Answer:

B. 9 cm

Step-by-step explanation:

The number of face masks Ray can make with 20 m of cord is ...

(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks

To make one more mask, he will need to buy an additional amount of ...

(196 -195.12195)×(10.25 cm) ≈ 9.00 cm

Ray would need to add 9 cm of cord to his order.

Solve for all values of x by factoring.'
x2 + 10x + 21 = 0

Answers

Answer:

Step-by-step explanation:

2x+10x=12x

12x=-21

x=-1.75

Answer:

x=-7,-3

Step-by-step explanation:

x2+10x+21

(x+7)(x+3)

x=-7,-3

calculate the gross margin if the selling price is $264 and the cost is $214

Answers

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

the answer is y=-5x+5

Pls help 10 ptsssssssssssss
NO LINKS

Answers

So, we will want to use your typical y=mx+b formula. We must find out what m and b equals. m is our slope which is change in y over change in x which is 10/10 which can be simplified down to x (because it’d be 1/1 or just 1 which can just be dropped out of the equation) now that we have m we must find b which is when x=0 and since our slope is 1, we can just take our smallest values given and subtract the x value from both y and x (so 18-20 [the y value] and 20-20 [the x-value so we can get x to equal 0]) and we use the y-value that we are left with to plug in for b which is -2 so your overall equation is
y= x-2

HELP ME PLEASEEEEEEEEEEEE

Answers

the answer is b (-3,3) can i have brainliest

an aquarium at the zoo is shaped like a cylinder. it has a height of 4 feet and a base radius of 2.5 feet. the aquarium is being filled with water at a rate of 12 gallons per minute. if one cubic foot is about 7.5 gallons, how long will it take the aquarium to fill? round to the nearest whole minute.

Answers

Answer:

49 minutes

Step-by-step explanation:

Volume

v = πr²h

v = π(2.5²)4

v = 78.5 ft³

--------------------------

Gallons needed

78.5 * 7.5 = 588.75 gallons

----------------------

Time to fill

588.75 / 12 = 49.0625

Rounded

49 minutes

PLS HELP 40 POINTS

A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger are the dimensions of the larger prism?

25
625
5
10

Answers

Answer:

C. 5

Step-by-step explanation:

The area is the product of two dimensions.

If the ratio of sides is k, then the ratio of areas is k²

We have:

k² = 200/8k² = 25k = √25k = 5

Correct choice is C

Answer:

Have a great day/night!

Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?

Answers

Answer:

she can paint 17 statues (with some paint left,but not enough for another statue)

Step-by-step explanation:

7/8 divided into 1/20

is the same as 7/8 multiplied by 20/1

7/8 x 20/1 = 140/8 = 17.5

I don't really understand how to do this if you could help please help asap, thank you

Answers

Answer:

Step-by-step explanation:

Just use elimination strategy

Express 72km/h in meter per sec

Answers

Answer:

20meter per second is tw correct answer

20 m/s

Step-by-step explanation:

1km/h = 1000m/3600s = 5m/18s

⇒ 72 × 5 ÷ 18 = 20 (m/s)

x=0,100,200,300, y=3.5,38.5 73.5, 108.5

Answers

Answer:

3.573 ⋅ 0.5108 ⋅ 0.5

Step-by-step explanation:

Y=11……………………………………. ……………………

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Let g(x)x and h(x)
. Evaluate .