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2 years ago

How can you use rates to determine wheather a situation is a proportional relationship

1 answer:

7 0

<em>If the rate is a constant, the relationship is proportional.</em> (The rate is the constant of porportionality.)

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For two or more points on the function curve, divide the dependent variable value by the independent one. If you get the same result in every case, the relationship is porportional.

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For some non-proportional relationships, it is possible to find points on the graph that will pass the above test. If you suspect the relationship is actually not one of proportionality, try more points. Check also to make sure that (0, 0) is on the curve.

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Find the inverse of 2∛(x+2)

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$y=2\sqrt[3]{x+2}\ \ \ |divide\ both\ sides\ by\ 2\\\\\sqrt[3]{x+2}=\dfrac{y}{2}\to x+2=\left(\frac{y}{2}\right)^3\ \ \ |subtract\ 2\ from\ both\ sides\\\\x=\dfrac{y^3}{2^3}-2\\\\x=\dfrac{1}{8}y^3-2\\\\\boxed{f(x)=2\sqrt[3]{x+2}\to f^{-1}(x)=\frac{1}{8}y^3-2}$

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2 years ago

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d1i1m1o1n [39]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Write two expressions to show w increased by 4. Then, draw models to prove that both expressions represent the same thing.

Vinil7 [7]

Answer:Answer:

w + 4 and 4 + w

Step-by-step explanation:

Given phrase,

w is increased by 4,

That is, w + 4

By the commutative property of addition,

The expression would be,

4 + w

For drawing a model that shows w + 4

Take two boxes in which first shows w and second shows 4 and add them,

Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.

Step-by-step explanation:

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2 years ago

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