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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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Answer:

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3 years ago
3n *power 2 +10n+7 how to factories and pls tell with solution
tankabanditka [31]

Answer:

(n + 1)(3n + 7)

Step-by-step explanation:

3n² + 10n + 7

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 7 = 21 and sum = + 10

The factors are + 3 and + 7

Use these factors to split the n- term

3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )

3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term

= (n + 1)(3n + 7) ← in factored form

5 0
3 years ago
Read 2 more answers
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ladessa [460]

Answer:

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3 0
2 years ago
Battery packs in electric go-carts need to last a fairly long time. The run-times (time until it needs to be recharged) of the b
pav-90 [236]

Answer:

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 2, \sigma = 0.33

What is the minimum level for which the battery pack will be classified as highly sought-after class

At least the 100-10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 2}{0.33}

X - 2 = 0.33*1.28

X = 2.42

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

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3 years ago
Becky is renting a car for her vacation. The rental costs $350 per week plus 20 cents per mile. If Becky can spend no more than
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Hope this helped!
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