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scZoUnD [109]
3 years ago
5

2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the given values of x and y, and solve for k:

y = kx

-8 = k(-2)

4 = k

So, the equation is y = 4x

Using this, plug in 32 as y, and solve for x:

y = 4x

32 = 4x

8 = x

So, x = 8 when y = 32

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in 2003, a gallon of gas cost $1.75. In 2013 a gallon of gas cost $3.25. Write an equation to model this situation.
djverab [1.8K]

We can easily solve this by assuming a linear equation. The general form is:

y = m x + b

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8 0
3 years ago
8+4x≥12<br><br> x≤5<br><br> x≥1<br><br> x≤1<br><br> x≥5
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4 0
3 years ago
Would this be correct? I simplified x to 8x.
Arte-miy333 [17]

\sqrt[3]{8x^3}\implies \sqrt[3]{2^3x^3}\implies \sqrt[3]{(2x)^3}\implies 2x~\hfill y=\stackrel{m}{2} x\stackrel{b}{+8} \\\\[-0.35em] ~\dotfill\\\\ \boxed{A}\qquad m = 2\\\\ \boxed{B}\qquad b = 8\\\\ \boxed{C}\qquad 0=2x+8\implies -8=2x\implies \stackrel{~\hfill y-intercept}{\cfrac{-8}{2}=x\implies -4=x}

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2 years ago
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