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3 years ago

7

Will Upvote you!

1 answer:

notka56 [123]3 years ago

7 0

For x = 4, then it means 3 to the fourth power or 3 times 3 times 3 times 3 times 3. 3^4 = 81 and 8 times that is 648.

y(x) = 8 * 3^x where x = 4:

y(x) = 8 * 3^4 = 8 * 81
y(x) = 648

The Function Rule then being that for every value of x there is one and only one value of y. y is the dependent variable and x is the independent variable.

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It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

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Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

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$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

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<em>The percentage in y is 300%</em>

7 0

3 years ago

In<br> given points.<br> 1. (10,4), (4, 15)<br> Find the slope of the line.

MrMuchimi

Answer:

$m = -\frac{11}{6}$

Step-by-step explanation:

Slope is rise over run.

$\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}$

Hope this helps.

8 0

2 years ago