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kaheart [24]
3 years ago
13

Plz answer my question

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0
2x + 1 = 9
First step is to remove the integer (whole number)
Remove 1
2x = 8
Then divide by 2 to find x
x = 4

P = 58 inches
58 = 2 x height + 2 x width
58 = 2h + 2w
58 = 2 x 18 + 2w
58 = 36 + 2w
Get rid of the whole numbers
22 = 2w
Divide b 2 to find w
w = 11
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For the function F defined by F(x)=x2−2x+4, find F(|−4|)
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By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.

<h3>How to evaluate a quadratic equation with an absolute value</h3>

Herein we must apply the definition of <em>absolute</em> value prior to evaluating the quadratic equation defined in the statement. From algebra we know that absolute values are defined as:

|x| = x, when x ≥ 0 or - x, when x < 0. (1)

Then, we apply (1) on the quadratic equation:

F(|x|) = |x|² - 2 · |x| + 4

As x < 0, by <em>absolute value</em> properties:

F(|x|) = x² + 2 · x + 4

F(|- 4|) = (- 4)² + 2 · (- 4) + 4

F(|- 4|) = 16 - 8 + 4

F(|- 4|) = 12

By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.

To learn more on absolute values: brainly.com/question/1301718

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