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3 years ago

Write an equation that shows how much money they would make (y) if

Mathematics

2 answers:

nekit [7.7K]3 years ago

7 0

Answer:

y=10x

Step-by-step explanation:

10 is the slope or the rate of change.

mihalych1998 [28]3 years ago

7 0

Answer:

y = 10x

Step-by-step explanation:

y is your total, 10 is your amount per hour, you multiply the hourly rate by the number of hours.

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4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

4 0

3 years ago

50 pts!!! Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approx

charle [14.2K]

Answer:

40π

Step-by-step explanation:

Area of circle:

A = πr²

Area of α degree sector:

S = πr²*α/360

The shaded area is:

S = π*10²×(72*2)/360 = 100π×144/360 = 40π

4 0

3 years ago

Create a word problem using addition your problem should include tress grown in UAE

Alborosie

Answer:

Practice the worksheet on word problem on addition and subtraction.

1. In a village, there are 4,318 men, 3,624 women and 5,176 children. What is the total population of the village?

2. In a school, there are 860 children in the pre-primary section, 1,200 children in the primary section and 1,540 children in the upper primary section. What is the total strength of the school?

3. A new movie at a theatre was released. On the first day 5,602 tickets, on the second day 5,890 tickets and on the third day 6,145 tickets were sold. Find the total number of tickets sold in these three days.

4. In a fruit gardens, there are 5,146 mango trees, 4,318 orange trees and 3,645 guava trees. Find the total number of trees in the graden.

5. In a godown, there are 1,274 bags of rice, 1,322 bags of wheat and 722 bags of pulses. How many bags of food grains in all are stored in the godown?

5 0

3 years ago

Read 2 more answers

The rate at which sand is poured into a bag is modeled by the function r given by r(t)=15t−2t2, where r(t) is measured in millil

balu736 [363]

Answer:

35 mililiters

Step-by-step explanation:

Given

$r(t) = 15t - 2t^2$