1.02

4.

Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.


f(x) = 2x2 + 16

g of x equals the square root of the quantity 5 x cubed

Answers

Answer 1

Answer:

Step-by-step explanation:

Given f(x) = 2x²+16

g(x) = √5x³

First is to get the composite function f(g(x))

f(g(x)) = f(√5x³)

To get f(√5x³), we will replace x in f(x) with √5x³ as shown:

f(√5x³) = 2(√5x³)²+16

f(√5x³) = 2(5x³)+16

f(√5x³) = 10x³+16

Hence f(g(x)) = 10x³+16

f(g(x)) will be the function of amount earned by Raul for the total number hour he works

Answer 2

Answer:

10x^3 dollars/hour

Step-by-step explanation:


Related Questions

April's flower bed has a length of 5 feet and a width of twelve twelves feet. Which of the following is true?

A. The area of the flower bed is equal to 12 square feet.
B. The area of the flower bed is larger than 12 square feet.
C.The area of the flower bed is equal to 5 square feet.
D. The area of the flower bed is smaller than 5 square feet.

Answers

Answer:

B

Step-by-step explanation:

12 times 5 = 60

12<60

Convert 10 quarts (qt) to cubic feet (ft^3)

Answers

Answer:

10 US liquid quarts is 0.334201 cubic feet.          

28 point and branliest
Alan purchased 16 shares of company stock for $390.40. A month later, the total value of his shares fell to $291.20. What is the current price per share if each share costs the same?
A.
$6.20
B.
$18.20
C.
$24.04
D.
$24.40

Answers

Answer: $18.20

Step-by-step explanation:

390.40/16 to find the initial costs of the shares. That would be $24.40 per share. However, since the stock has fallen, you would do that same division, but with the new value. 291.20/16, which is $18.20

Answer:

$18.20 per share is the value of each stock currently

Step-by-step explanation:

Take the value the stocks are worth now and divide by the number of shares

291.20/16

$18.20 per share

$18.20 per share is the value of each stock currently

Evaluate 3^2 + (8 - 2) x 4 - 6/3

Answers

3^2 + (8 - 2) x 4 - 6/3

=9 + 24 - 2

=33 - 2

=31

Answer:  31

("x" = * right? not x)

Step-by-step explanation:

[tex]3^{2}[/tex]+(8-2) * 4 - [tex]\frac{6}{3}[/tex]

= 9+6 * 4 - 6/3

= 9+24 - 6/3

= 9+24-2

= 31


pumbaa paid monthly mud bills of $85, $77 and $72. His mud budget is
$322 for three months. How much was pumbaa underbudget?

Answers

Answer:

88$ for 3 months

Step-by-step explanation:

85 plus 77 plus 72 = 234

322-234=88$

i need help with this geometry

Answers

Answer:

c

Step-by-step explanation:

use point slope form y-y1 = m(x-x1)

m = -1/2 because that would be perpendicular

then you plug in the numbers y-6= -1/2(x-4)

then solve for y so i will be in y=mx+b

Please answer 10 point + brainlyest = 1 big thank u

Answers

Step-by-step explanation:

FIRST, we want to understand every property:

Associative Property: The associative property states that you can add or multiply regardless of how the numbers are grouped so (5 + 4) + 3 = 5 + (4 + 3)

Commutative Property: Commutative is the one that refers to moving stuff around so 3 + 2 = 2 + 3

Additive Inverse Property: This is the number that when added to the original number, equals 0 or it's the opposite of the number so 5 <- is the original number and -5 <- is the additive inverse.

Simplify: Is just to add like terms, and make the equation the simplest.

1. ORIGINAL EXPRESSION

2. Additive Inverse Property

3. Commutative property

4. Associative Property

5. Simplify

6. Simplify

Which of the following is a rational number?

Answers

Answer:

A, B, D are the answers

Step-by-step explanation:

Find the simple interest earned. $5,000 invested at 4% for 3 years. pls

Answers

Answer:

I don't get what your asking us to do

Step-by-step explanation:

2-86. Simplify the expression
a. 5x + 4 - 2x +3 - 2x
b. 17m-2-9m + 7 -2m
c. 2xy - 2yz + 7x2 + 6xy - 2xz

Answers

Are those answer options or are they what you need simplified? What is the "2-86"?

Factorize the given expression and divide them as directed.


[tex](m^{2} -5m +6) divided (m-2)[/tex]

Answers

Answer :

We have to find :

m² - 5m + 6 / (m - 2) = ?

First of all, we need to factorize

(m² - 5m + 6)

⭆ m² - 5m + 6

⭆ m² - (3 + 2)m + 6

⭆ m² - 3m - 2m + 6

⭆ m(m - 3) - 2(m - 3)

(m - 2) (m - 3)

★ Division :

➠ m² - 5m + 6 / (m - 2)

➠ (m - 2) (m - 3) / (m - 2)

(m - 3) [Final answer][tex].[/tex]

Hope It Helps!

The Quadratic when written in factored form is (x-3)(x+9)=0. What are the roots?
3 and 9
-3 and 9
3 and -9
-3 and -9

Answers

Set both equal to 0
(x-3) = 0
x = 3
(x+9) = 0
x = -9
So 3 and -9

what does “ z “ equal in this equation z + 18 = 26

Answers

Answer:8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

you have to work it backwards. 26-18=8

33rd term 189.6, 172.3, 155​

Answers

Answer:

[tex]a_{33}[/tex] = - 364

Step-by-step explanation:

There is a common difference between consecutive terms. that is

d = 172.3 - 189.6 = 155 - 172.3 = - 17.3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 189.6 and d = - 17.3 , thus

[tex]a_{33}[/tex] = 189.6 + (32 × - 17.3) = 189.6 - 553.6 = - 364

Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Answers

Answer:

Option 1 (The last one, bottom right)

Step-by-step explanation:

If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.

Complete the sentence.
A regular pentagon and a regular hexagon can intersect in
a line
a ray
a line segment
a rectangle
Submit

Answers

Answer:

A line segment

Step-by-step explanation:

Please help. I dont know how to do this

Answers

Answer:

y=3x+3

Step-by-step explanation:

3 is the slope, up 3 and right 1

3 is the y intercept

Kyla alternates between walking and jogging on an 11-mile trail. Her walking speed is 4 mi/h, and her jogging speed is 6 mi/h. Kyla takes 2 hours to go from the beginning to the end of the trail. Write and solve an equation to find the distance Kyla walked and the distance she jogged.

Answers

Answer:

Kyla walked 2 miles and jogged 9 miles

Step-by-step explanation:

Let the distance Kyla walked be x

and the distance Kyla jogged be y

Since the trail is 11-mile long, then

x + y = 11

Now, from the question,

Her walking speed is 4 mi/h and her jogging speed is 6 mi/h

Let the time spent to walk be t₁ and the time spent to jog be t₂

From

Distance = Speed × Time

Then, the distance walked x is

x = 4 mi/h × t₁

and the distance jogged y is

y = 6 mi/h × t₂

From the question, Kyla takes 2 hours to go from the beginning to the end of the trail, that is

t₁ + t₂ = 2 hours

∴t₁ = 2 - t₂

Since

x + y = 11, then we can write that

(4 mi/h × t₁) + (6 mi/h × t₂) = 11

But t₁ = 2 - t₂

Then,

(4 mi/h × t₁) + (6 mi/h × t₂) = 11; becomes

(4 mi/h × (2 - t₂)) + (6 mi/h × t₂) = 11

8 - 4t₂ + 6t₂ = 11

2t₂ = 11 - 8

2t₂ = 3

t₂ = 3/2

t₂ = 1.5 hours

This is the time spent to jog

Then, from t₁ = 2 - t₂

t₁ = 2 - 1.5

t₁ = 0.5 hour

This is the time spent to walk

Now, For the distance Kyla walked, x

x = 4 mi/h × t₁

x = 4 mi/h × 0.5

x = 2 miles

Hence, she walked 2 miles

and for the distance Kyla jogged, y

y = 6 mi/h × t₂

y = 6 mi/h × 1.5

y = 9 miles

Hence, she jogged 9 miles

Given that ∠A≅∠B, Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?


m∠A=10° and m∠B=15°

m∠A=45° and m∠B=45°

m∠A=30° and m∠B=60°

m∠A=25° and m∠B=25°

Answers

45 and 45 because they are equal and add up to 90 degrees

Which equation justifies why 9 1/3 = 3 square root of 9?

Answers

Answer: answer is A

Step-by-step explanation:

A popular board game manufacturer was interested in the relationship between the amount of time it takes to play a game and how well that game is rated among board game players. Information was collected on several board games, and was used to obtain the regression equation y = 27.273x + 18.182, where x represents time it takes to play (in hours) and y is the predicted rating of that game (in points). What is the predicted rating of a game that takes 90 minutes to play?

18.182 points
59.0915 points
90 points
2,472.752 points

Answers

Answer:

B- 59.015

Step-by-step explanation:

Answer:

The answer is B. I don't know why everyone downvoted the first answer. So here's some fancy work so you know its right.

90 minutes/1 hour = 1.5 hours [one hour = 60 minutes]

(you can only put hours in for x)

27.273(1.5) + 18.182 = 59.0915 (B)

==================

if you're looking for the question "What is the predicted rating of a game that takes 1 hour to play?" the answer is (C), 45.455 points".

[this is a separate question that is similar]

==================

ED2021

DUDE IM GETTING MAD BECAUSE I KEEP FORGETTING THE IMAGE AND OMG PLEASE ANSWER IM BEGGING PLS

Answers

Let

x = number of tickets

y = cost

For each row, divide the cost over the number of tickets

Row one:  y/x = 3/2 = 1.5

Row two: y/x = 6/4 = 1.5

Row three: y/x = 9/6 = 1.5

Row four: y/x = 12/8 = 1.5

Row five: y/x = 15/10 = 1.5

The constant of proportionality is 1.5

This means each ticket costs $1.50

A football team gains 7 yards in the first down then gains 2 yards in the second down. Then loses 4 yards in the third yard. What is the net yardage?

Answers

Answer: 5

Step-by-step explanation:

First we should do the first step: 7+2=9, The they lose 4 which then 9-4

which would equal 5

Answer:

7+2-4=?

7+2=9-4=5

Final Answer: 5 Yards

help please with this question

Answers

Answer:

b. x - 2y = 4

Step-by-step explanation:

The two points on the graph are (0, -2) and (4, 0).

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

  = (0 - (-2)) / (4 - 0)

  = 2 / 4

  = 1 / 2

Find y intercept using anyone of the points above:

y = mx + b

-2 = 1/2(0) + b

b = -2

Use m and b to make equation of line:

y = mx + b

y = 1/2x - 2

Possible answers:

a. 4x - 2y = 4

         -2y = -4x + 4

             y = 2x - 2

b. x - 2y = 4

       -2y = -x + 4

           y = 1/2x - 2

c. -2x + 4y = -4

            4y = + 2x - 4

              y = 1/2x - 1

Only choice b equals the equation of line above.

Please can someone answer this

Answers

Answer:

Greatest Number of Teams: 8

Number of Girls per Team: 5

Number of Boys per Team: 4

Step-by-step explanation:

32÷8=4

40÷8=5

Teams: 8

Girl members : 5

Boy members: 4

Explanation:
Makes the most sense

Lisa runs between 5 and 7 miles per day. It takes Lisa 10 minutes to run one mile. What is a reasonable amount of time that Lisa
spends running every day?

Answers

Answer:

50-70 minutes

Step-by-step explanation:

The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which inequality represents this situation?

A) y
B) y<_x+28

C) x+y <28

D) x+y<_28

Answers

Answer:

x+y < 28

Step-by-step explanation:

1. Look at your variables: x is the first number and y is the second.

2. Know the limits: It says it has to be NO MORE than 28, so the inequality has to be less than (<) 28. And it says that the SUM of 2 numbers (in this case x and y), is no more than 28, so you know there's some addition between the two.

3. Write out your inequality: x+y < 28

Mr. Ortiz competed in a local aquathlon, which is a swimming and running race. The total distance of the race was 7.13 miles. If the running event was 6.2 miles, what was the distance of the swimming event? SOMEONE PLS HELP MEEEE I AM ON A QUIZ !!! AND I AM FAILING MATHHH!!

Answers

Answer:

subtract 7.13 and 6.2 and you will get your answer

Step-by-step explanation:

Im doing the assignment on Edgenuity

and i passed hope this helps:)

Answer: You have to subtract 7.13 and 6.2 and you will get your answer of 0.93.

Step-by-step explanation:

(√5+√17i)(√5-√17i)=? (give answer in standard a+bi form)

Answers

Answer:

22

Step-by-step explanation:

Given

([tex]\sqrt{5}[/tex] + [tex]\sqrt{17}[/tex] i )([tex]\sqrt{5}[/tex] - [tex]\sqrt{17}[/tex] i ) ← expand factors using FOIL

= ([tex]\sqrt{5}[/tex] )² - ([tex]\sqrt{17}[/tex] )² i² ← i² = - 1

= 5 - 17(- 1)

= 5 + 17

= 22  

What is the quotient? The problem has been started for you.
89.5 but theres a line over 5
89.6
89.6 with a line over 6
89.7 ​

Answers

Answer:89.6 (with line)

Answer:c

Step-by-step explanation:

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