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abruzzese [7]
3 years ago
7

Which inequality represents all values of x for which the product below is defined

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

(-∞, -2) ∪ (0, ∞)

Step-by-step explanation:

Multiply together the (7x) and the (x+2), obtaining 7x^2 + 14x.  This is the correct argument (input) to Answer A.

Since the domain of the square root function includes "all real numbers equal to or greater than 0," we set 7x^2 + 14x = to 0.  This factors to the original 7x*(x+2), set equal to 0.  The roots are 0 and -2.  

These two values create three intervals:  (-∞, -2), (-2, 0) and (0, ∞).

Choosing test numbers, one from each interval:  {-5, -1, 1}.

7x^2 + 14x is + at x = -5, - at x = -1, and + at x = 1.

Thus, the domain of this function is  (-∞, -2) ∪ (0, ∞).  In other words, the product shown is defined on  (-∞, -2) ∪ (0, ∞).

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What is the measure of the missing angle?
Luda [366]

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19

8 0
2 years ago
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Pani-rosa [81]

Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.


Step-by-step explanation:

Given : Duration of Tina practiced piano last month=  15 hours

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We can see 45 is a multiple of 15 such that 45=15\times3

Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.

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3 years ago
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Answer:

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or x=-2

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What strategy for finding area and perimeter of a 2 dimensional shape?
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Area is supposed to be multiplied by 2.
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