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3 years ago

Given that (-8,-5) is on the graph of f(x), find the corresponding point for the function f(x-2)

Mathematics

1 answer:

Volgvan3 years ago

8 0

This one works the same way the last one did.

If -8 is x-2, then x = -6. The corresponding point is (-6, -5).

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to find the area of a trapezoid dylan uses the formula A=1/2 (B1+B2)h the bases have lengths of 3.6 cm and 12 1/3 cm. the height

Artemon [7]

Answer:

It is irrational because it can not be represented as a fraction of two integers

Step-by-step explanation:

Given

$B_1 = 3.6$

$B_2 = 12\frac{1}{3}$

$H = \sqrt[3]5$

Required

Why is the area irrational?

First, we need to calculate the area

$Area = \frac{1}{2}(B_1 + B_2) * H$

$Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5$

$Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100$

$Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710$

$Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100$

$Area = \frac{47.8}{6} * 1.7100$

$Area = \frac{47.8* 1.7100}{6}$

$Area = \frac{81.738}{6}$

$Area = 13.623$

<em>It is irrational because it can not be represented as a fraction of two integers</em>

5 0

2 years ago

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 3 the seco

IceJOKER [234]

Events

• A: an even number is rolled in the first time

• B: a number greater than 3 is rolled the second time

The probability of rolling an even number is:

$\begin{gathered} P(A)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(A)=\frac{3}{6} \\ P(A)=\frac{1}{2} \end{gathered}$

The probability of rolling a number greater than 3 is:

$\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}$

Events A and B are independent, then the probability of one happening after the other is:

$\begin{gathered} \text{ P(A and B) = }P(A)\cdot P(B) \\ \text{ Substituting with the values previously found:} \\ \text{ P(A and B) = }\frac{1}{2}\cdot\frac{1}{2} \\ \text{ P(A and B) = }\frac{1}{4} \end{gathered}$

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1 year ago

If the point (-2, 5) is reflected across the y-axis, its image will be at (-2, -5). true false

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False, the image will be (+2; 5)

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Your answer is 29.2 good sir.
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