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3 years ago

Solve by completing the square: 5x2 + 20x + 32 = 0

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Your answer is no solution (because a negative square root doesn't exist)
first, you divide all sides by five and then take b, half it then square it

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Select all the values of k that shift f(x)=x^2 to the right when f(x)=(x-k)^2 PLEASE HELP

Brut [27]

Answer:

132, 560 and 210.

Step-by-step explanation:

We are given that,

The function $f(x)=x^{2}$ is translated right to where $f(x)=(x-k)^{2}$ .

Since, when a function is translated to the right, new function is of the form f(x-k).

So, according to the question, we have,

The value of 'k' must be positive.

Thus, the possible options are 132, 560 and 210.

8 0

4 years ago

Read 2 more answers

The library is 10 kilometers south of Aaron’s home. The school is 10 kilometers east of Aaron’s home. How many kilometers, to th

Oksana_A [137]

Answer:

14.1 km

Step-by-step explanation:

Sqrt(10² + 10²)

Sqrt(200) = 14.14213562

4 0

4 years ago

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a

Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

$6\sigma = 800 - 200$