Answer:

Step-by-step explanation:
<u>Given</u> :
- f(x) = 2x² + 2
- g(x) = x² - 1
Now, this problem can be used using a simple formula.

Let's solve.
- (f - g)(x) = 2x² + 2 - (x² - 1)
- (f - g)(x) = 2x² - x² + 2 + 1
- (f - g)(x) = x² + 3
∴ The answer will be x² + 3.
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Answer:
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Step-by-step explanation:
Answer:
36yd
Step-by-step explanation:
width = x
2x - 3 = 75
2x = 78
x = 36yd
width = 36yd
Applying the segment addition postulate:
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
<h3>What is the Segment Addition Postulate?</h3>
Based on the segment addition postulate, since B lies between points A and C on a line segment, then:
AB + BC = AC
AC = 38 3/4
AB = 6x
BC = 8x + 1/4
Substitute
6x + 8x + 1/4 = 38 3/4 [segment addition postulate]
14x + 1/4 = 155/4
14x = 155/4 - 1/4
14x = (155 - 1)/4
14x = 154/4
14x × 4 = 154
56x = 154
x = 154/56
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
Learn more about the segment addition postulate on:
brainly.com/question/2134445
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