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viva [34]
3 years ago
6

Give the domain of each of the following functions in interval notation.

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

the domain of f(x) is R  ⇒ ] -∞ , ∞[

the domain of h(x) is x ≤ -5 ⇒ ] -∞ , -5]

Step-by-step explanation:

h(x) = \sqrt[8]{-2x-10}

-2x - 10 ≥ 0

-2x ≥ 10

x ≤ -5

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3 years ago
Factor 8x^3y + 38x^2y - 10xy
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Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

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2xy(4x^2 +20x−x−5)

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2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

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7 0
2 years ago
A square picture on the front page of a newspaper occupies an area of 24 square inches. Find the length of each side of the squa
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Answer:

360 miles

Step-by-step explanation:

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