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Brrunno [24]
3 years ago
9

Help me, please! Love math but there are some things that fumble my brain. Look at the picture below and follow directions. Plea

se provide a reasonable answer.

Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

In 2007 it was 450 and 2011 it was 300

Step-by-step explanation:

So the change was 300 I think this correct

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Y and x have a proportional relationship, and y=12 when x=8. What is the value of x when y=18?
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Answer:

x = 12

Step-by-step explanation:

Proportional relationship means that \frac{y}{x} = k(a constant)

Here, k = 12/8 = 3/2

So, the equation is \frac{y}{x} = 3/2.

Plug in y = 18, and we get 18/x = 3/2.

18 = 3/2x

x = 12

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Answer:

x=9.5

Step-by-step explanation:

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Find the inverse of h(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B6%7D%7B5%7D" id="TexFormula1" title="\frac{2x+6}{5}"
Dima020 [189]

Answer:

The inverse of h(x) is \frac{5x-6}{2}

Step-by-step explanation:

* Lets explain how to make the inverse of a function

- To find the inverse of a function we switch x and y and then solve

  for new y

- You can make it with these steps

# write g(x) = y

# switch x and y

# solve for y

# write y as g^{-1}(x)

* Lets solve the problem

∵ h(x)=\frac{2x+6}{5}

# Step 1

∴ y=\frac{2x+6}{5}

# Step 2

∴ x=\frac{2y+6}{5}

# Step 3

∵ x=\frac{2y+6}{5}

- Multiply each side by 5

∴ 5x = 2y + 6

- Subtract 6 from both sides

∴ 5x - 6 = 2y

- Divide both sides by 2

∴ y=\frac{5x-6}{2}

# Step 4

∴ h^{-1}(x)=\frac{5x-6}{2}

3 0
3 years ago
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