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Dovator [93]
3 years ago
6

Please Help!

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0

Answer:  The correct option is (A) 3(x^2-7).

Step-by-step explanation:  We are given to factorize the following quadratic expression completely :

P(x)=3x^2-21.

To factorize the given expression, first we should take common terms out and then we will continue the process.

The factorization is as follows :

P(x)\\\\=3x^2-21\\\\=3(x^2-7).

Thus, the required factorized form is 3(x^2-7).

Option (A) is correct.

kolbaska11 [484]3 years ago
3 0

Answer:

The fully factored form is 3(x^2 - 7))

Step-by-step explanation:

The only thing you can do with this equation is take out a factor of 3. You cannot simplify the resulting parenthesis without using irrational numbers.

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You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

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 = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

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

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

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

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

5 0
2 years ago
Used Cartesian coordinate system to plot the following points
Fiesta28 [93]
(x,y)
go over x, and up or down y
if fraction then between integers (1/2)=> between 0 and 1.
0=>don't move on that axes
(0,y) move y
(x,0) move x
8 0
3 years ago
Can yall help me out
Ainat [17]

Answer:

Option D, Yes, Devon should have evaluated f(3)

Step-by-step explanation:

f(x) = x^3 + x^2 − 10x + 8

<u>Step 1:  Evaluate using F(3) NOT f(-3)</u>

f(3) = 3^3 + 3^2 - 10(3) + 8

f(3) = 27 + 9 - 30 + 8

f(3) = 14

Since the factor is (x - 3) the x value is x - 3 + 3 = 0 + 3 -> x = 3 not x = -3

Answer:  Option D, Yes, Devon should have evaluated f(3)

6 0
3 years ago
The price of a cup of coffee was 2:40 yesterday today it Rose 265 find the<br> percentage increase
Anni [7]
N.B. I believe your question is saying that the price of a cup of coffee was $2.40 yesterday, and it rose to $2.65 today. Therefore, I will solve with these prices. 

The percent increase is 10.41666666% (The 6 is repeating.).

First, you find the difference, or increase, between the two prices.

New price - Old price = Increase

$2.65 - $2.40 = $0.25

The difference between the two prices is $0.25. To find the percent increase, you want to divide the original price ($2.40) from the increase ($0.25) and multiply by 100.

Increase ÷ Original Price × 100 = % increase

0.25 ÷ 2.40 × 100 = 10.41666666%

The percent increase is 10.41666666% (The 6 is repeating.).
6 0
3 years ago
I dont understand this
Westkost [7]

Answer:

\dfrac{1}{2x(x-1)}

Step-by-step explanation:

Given

\dfrac{x^2+2x+1}{x^2-1}\div (2x^2+2x)

Consider the numerator:

x^2+2x+1=(x+1)^2

Consider the denominator:

x^2-1=(x-1)(x+1)

Hence, the fraction becomes

\dfrac{(x+1)^2}{(x-1)(x+1)}=\dfrac{x+1}{x-1}

Consider the expression in brackets:

2x^2+2x=2x(x+1)

Divide:

\dfrac{x^2+2x+1}{x^2-1}\div (2x^2+2x)=\dfrac{x+1}{x-1}\div 2x(x+1)=\dfrac{x+1}{x-1}\times \dfrac{1}{2x(x+1)}=\dfrac{1}{2x(x-1)}

4 0
3 years ago
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