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3 years ago

2x/x2-25=10/x2-25 - 4/x+5

1 answer:

7 0

First of all you need push the restriction for what x value the denominator result 0 bc. than this fraction will be undefined
- so x^2 -25 = 0
(x-5)(x+5)=0
x-5=0 =>x=5
and
x+5=0 =>x=-5
so this mean that x not can being equal +/- 5

rewrite :
x^2 -25 = (x-5)(x+5)

2x 10 4
------------- = ------------------ - -----------
(x-5)(x+5) (x-5)(x+5) x +5

2x = 10 -4(x-5)
2x = 10 -4x +20

6x = 30

x = 30/6

x = 5 what is restriction for x

hope helped

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3 years ago

PLEASE HELP

NeTakaya

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Step-by-step explanation:

step 1

Find the area of the base of the rectangular pyramid

we know that

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}BH$

where

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H is the height of the pyramid

we have

$V=40\ units^{3}$

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step 2

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we know that

The volume of the rectangular prism is equal to

$V=BH$

we have

$B=20\ units^{2}$

$H=6\ units$

substitute

$V=(20)(6)=120\ units^{3}$

therefore

The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct

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4 years ago

4. Amazon executives believe that at least 70% of customers would return a product 2 days after it arrives at their home. A samp

inysia [295]

Using the normal distribution and the central limit theorem, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.
By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

Sample of 500 customers, hence $n = 500$ .

Amazon believes that the proportion is of 70%, hence $p = 0.7$

The mean and the standard error are given by:

$\mu = p = 0.7$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{500}} = 0.0205$

The probability is the p-value of Z when X = 0.68, hence:

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.68 - 0.7}{0.0205}$

$Z = -0.98$

$Z = -0.98$ has a p-value of 0.1635.

0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

A similar problem is given at brainly.com/question/25735688

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dem82 [27]

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Therefore at x = -3 , f'(x) = -10.

Hence the function is increasing in the interval of (-∞, -3)

Again f'(x) = 2x² + 12x + 8 , so after first differentiation we get :

That the function is also increasing in the interval (-1,∞)

Now for the interval (-4,-2), we can say that the graph of the function is positive as the y value increases and then decreases but all y values are positive as illustrated in the graph.

In the interval (0,∞) the function is strictly increasing and has positive values only.

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brainly.com/question/21753201

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The answer is 10 years because simple interest is 16%

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