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3 years ago

Please help with number 10! Thank you

Mathematics

1 answer:

qaws [65]3 years ago

5 0

Question 12. ).

Solve:

- 5x + 5 + 4x^2 = 0

Simplify both sides:

4x^2 - 5x + 5 = 0

Step 2.): Use Quadratic Formula:

a = 4, b = - 5, c = 5

x = - b +/- sqrt b^2 - 4ac/2a

x = - ( - 5) +/- sqrt ( - 5)^2 - 4(4)(5) / 2(4)

x = 5 +/- sqrt - 55/8

Answer: No Real Solutions

Hope that helps!!!!! : ) sorry couldn't help with the rest. My brain has to rejuvenate, at a stand still right now.

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Which of the following symbols could correctly finish the statement? select all that apply.

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3 years ago

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viva [34]

Hello!

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3 years ago

A newspaper reports that the population mean annual salary of a full-time college professor in a certain region is exactly $127,

Leya [2.2K]

Answer:

Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $127,000

Sample mean, $\bar{x}$ = $126,092

Sample size, n = 160

Alpha, α = 0.10

Sample standard deviation, σ = $8,509

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 127000\text{ dollars}\\H_A: \mu \neq 127,000\text{ dollars}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

$t_{stat} = -1.35$

Now, $t_{critical} \text{ at 0.10 level of significance, 159 degree of freedom } = \pm 1.654$

Since,

The calculated t-statistic lies in the acceptance region, we fail to reject and accept the null hypothesis.

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3 years ago

Simplify this expression

kompoz [17]

The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
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Write -6x as a difference.
$\frac{x+2}{ x^{2} +2x-8x-16}$ × 9x
Factor out x from x² + 2x.
$\frac{x+2}{ x X (x+2)-8x-16}$ × 9x
Factor out -8 from -8(x + 2).
$\frac{x+2}{ x X (x+2)-8(x+2)}$ × 9x
Factor out x + 2 from the denominator (bottom) of the expression.
$\frac{x+2}{(x+2)X(x-8)}$ × 9x
Reduce the fraction with x + 2
$\frac{1}{x-8}$ × 9x
Finally,, calculate the product to find your final answer.
$\frac{9x}{x-8}$
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)

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3 years ago

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leva [86]

it is 90 is the answer i think

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4 years ago