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2 years ago

What’s the solution set for x? Can someone please answer and explain how they got they’re answer for 40 points.

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

3 0

Answer:

i think the answer is 2.I had a problem like this and i think u have to find out what both of them equal

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At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?<br> BB<br> -2<br> 2

Svetlanka [38]

Answer:

-2

Step-by-step explanation:

if x=- 2 then f(x)=(-2-5)3(-2+2)=0

so x=-2 is correct

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2 years ago

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3 years ago

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Vesna [10]

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3 years ago

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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6

dimaraw [331]

Answer:

The confidence interval is $13.4< \mu < 13.8$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 13.6$

The standard deviation is $\sigma = 1.9$

The sample size is $n = 189$

given that the confidence level is 85% then the level of significance is mathematically represented as

$\alpha = (100 - 85 )\%$

$\alpha = 0.15$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{\alpha }{2} } = 1.44$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.44* \frac{1.9}{\sqrt{189} }$

=> $E = 0.1990$

The 85% confidence interval is mathematically represented as

$\= x - E < \mu$

=> $13.6- 0.1990 < \mu < 13.6+ 0.1990$

=> $13.4< \mu < 13.8$

5 0

3 years ago

In Image:

iris [78.8K]

Answer:

The answer to your question is x ≠ -10 x ≠ 2 x ≠ -2

Solution $\frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}$

Step-by-step explanation:

Process

1.- Factor all the polynomials

$\frac{x^{2} -3x - 40}{x^{2} + 8x - 20} / \frac{x^{2}+ 13x + 40}{x^{2}+ 12x + 20}$ = $\frac{(x-8)(x + 5)}{(x + 10)(x- 2)} / \frac{(x+ 8)(x + 5)}{(x + 10)(x + 2)}$

2.- Invert the second term

= $\frac{(x- 8)(x + 5)}{(x +10)(x - 2)} \frac{(x+ 10)(x + 2)}{(x + 8)(x +5)}$

3.- Simplify

= $\frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}$

4.- x must be different to

x ≠ -10 x ≠ 2 x ≠ -2

This values are from the factor expressions and then equal to zero.

8 0

3 years ago