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3 years ago

There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?

1 answer:

4 0

$0.09 per ounce Because there are 16 ounces in a pound, 3.4 pounds is 3.4(16) = 54.4 ounces. To find cost per ounce, divide the cost in dollars by the number of ounces

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Inverse for f(x)=1/2x+3

Semenov [28]

Answer: $f^{-1}(x)=2x-6$

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

$y=\frac{1}{2}x+3$ [switch x and y]

$x=\frac{1}{2}y+3$ [subtract both sides by 3]

$x-3=\frac{1}{2} y$ [multiply both sides by 2]

$y=2x-6$

Now, we know that $f^{-1}(x)=2x-6$ .

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the 2 angles are congruent so...

x+40=3x set the 2 equations equal to each other

40=2x subtract x from both sides

20=x divide by 2

x=20 is the final answer

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2 years ago

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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%

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

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

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

Expand

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

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

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

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

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

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

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Step-by-step explanation:

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The answer is $7.14!

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