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Nezavi [6.7K]
2 years ago
9

Find all numbers whose absolute value is 8.

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer:

<h2>8 or -8</h2>

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|a| = 8 ⇔ a = 8 or a = -8

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Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔
bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0
3 years ago
What is the 6th term of the geometric sequence<br> 50, 10, 2, ...?
Dominik [7]

Answer:

your answer to that would be 5 other Geographic Square

7 0
2 years ago
Determine the exact values of the six trigonometric functions of the real number t
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4 0
3 years ago
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Determine for each number whether it is a rational number or irrational number
erastova [34]
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5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%20%2B%205%20%20%5Cgeqslant%2012%20%5C%5C%20" id="TexFormula1" title="x + 5 \geqslant 12 \\
N76 [4]

Hello from MrBillDoesMath!

Answer:

x >= 7

Discussion:

x + 5 >= 12                  =>  add -5 to both sides

x + 5 -5 >= 12 - 5        => as 5-5 = 0 and 12 =5 = 7

x >= 7

Thank you,

MrB

6 0
3 years ago
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