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Nutka1998 [239]
3 years ago
6

4x^2 - 35x - 99 / x^2 - 5x - 66 Simplify this expression and state any restrictions on the variable

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0

Answer:

4x+9/x+6

Step-by-step explanation:

arsen [322]3 years ago
6 0
\frac{4x^{2} - 35x - 99}{x^{2} - 5x - 66} = \frac{4x^2 - 44x + 9x - 99}{x^{2} - 11x + 6x - 66} = \frac{4x(x) - 4x(11) + 9(x) - 9(11)}{x(x) - x(11) + 6(x) - 6(11)} = \frac{4x(x - 11) + 9(x - 11)}{x(x - 11) + 6(x - 11)} = \frac{(4x + 9)(x - 11)}{(x + 6)(x - 11)} = \frac{4x + 9}{x + 6}
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A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round
Neko [114]

Answer:

The z-score for a data value of 121 is -2.29.

Step-by-step explanation:

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 = 137, \sigma = 7

Find the z-score for a data value of 121.

This is Z when X = 121. So

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

Z = \frac{121 - 137}{7}

Z = -2.29

The z-score for a data value of 121 is -2.29.

4 0
3 years ago
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Find two numbers that have a sum of 4 and a product of -5
nekit [7.7K]

Answer:

-1 and 5

Step-by-step explanation:

7 0
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What is 3(x+3)+7x= ?
dusya [7]
The answer is 6x+7x there is no answer without the value of c
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Please help me, the attachment is below. (If you don't know the answer to the question please don't answer, thank you.)
Liono4ka [1.6K]

Answer:

See Below.

Step-by-step explanation:

Paragraph Proof:

We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.

2-Column Proof

 Statements                                               Reasons:

1) \angle 1\cong \angle 4                                                    Given

2) \text{The two lines are parallel}                        Alternate Exterior Angles Converse

3) \angle 3\cong \angle 2                                                  Alternate Interior Angles Theorem

I would write a flowchart as well, but unfortunately, I never learned it that way.

8 0
3 years ago
Viết tập hợp dưới dạng liệt kê <br> A = { x € Z : (x^2 + 5x - 6)(2x-1)=0}
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Answer:

Step-by-step explanation:

A={1;-6;1/2}

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