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dimaraw [331]
3 years ago
15

Given the function defined in the table below, find the average rate of change, in

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

                                                                                                                                                                                                                                                   

Step-by-step explanation:

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Step-by-step explanation:

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The half-life of a radioactive substance is the time required for half of a sample to undergo radioactive decay, or for the quan
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth
crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

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8 0
2 years ago
Question 21
horsena [70]

Answer:

<em>A(x) = 6x² + 26x </em>

Step-by-step explanation:

A(x) = 4x ( x + 10 ) - 2x ( 8 ) + \frac{2x(x)}{2} + \frac{2x(x+2)}{2}

A(x) = 4x² + x² + x² + 40x - 16x + 2x

<em>A(x) = 6x² + 26x</em>

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