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3 years ago

Find the inverse of the function.

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

Answer:

The inverse function is $y = -\frac{x}{4}$

Step-by-step explanation:

Inverse of a function:

To find the inverse of a function, we exchange x by y, then we isolate y.

y = -4x

Finding the inverse:

$x = -4y$

$4y = -x$

$y = -\frac{x}{4}$

The inverse function is $y = -\frac{x}{4}$

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Sally bought the pizza shown above for lunch, which is cut into 10 equal slices. What percentage of the pizza did Sally eat if s

GenaCL600 [577]

We can represent the pizza as 1. And every time we take a slice, we take percentage away. This pizza is cut up equally into 10 slices. So, if we take away a slice, we take away 1/10 of the pizza. What if Sally ate 6 slices? Same difference. She took away 6/10 of the pizza.

And to answer the question, "What percentage of the pizza did Sally eat if she had six slices?"

We will convert the 6/10 into a percentage. First convert the fraction into a decimal then into a percent.

To convert a fraction into a decimal, simply divide it's numerator by it's denominator.

6/10 = 0.60

And to convert a decimal into a percentage, move the decimal point two places to the right and change it into a % sign.

0.60 = 60%

So, the answer to this question C) 60%

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3 years ago

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If sin theta = 2/3, which of the following are possible

Ira Lisetskai [31]

Sin ø = opposite/hypotenuse = 2/3, cos ø = adjacent/hypotenuse = ?/3, tan ø = opposite/adjacent = 2/?, sec ø = 1/cos ø

to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2

Manipulating the equation to find the adjacent value = ?

adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)

so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b

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Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 5

Genrish500 [490]

Answer:

the distance between them is decreasing at a rate of 2 mph.

Step-by-step explanation:

List all given rates and the unknown rate.

Write the formula that relates the variables in the problem: x, y, and s.

There’s a right triangle in the diagram, so you use the Pythagorean Theorem:

For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so

Differentiate with respect to t.

Use the Pythagorean Theorem again to solve for s.

x = 0.4

y = 0.3

You can reject the negative answer because s obviously has a positive length. So s = 0.5.

Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.

This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.

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What property describes the number sentence? 6+0=6

Juliette [100K]

The number sentences and example of a additive identity property of addition

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grandymaker [24]

28 + 33 = 61

so
28/61 x100
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