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3 years ago

Factor completely x^3-8x^2-2x+16=

Mathematics

1 answer:

Contact [7]3 years ago

4 0

Answer:

(x-8)(x^2-2)

Step-by-step explanation:

take x common from the first 2 terms and take -2 common from the last two terms. Then, take (x-8) common.

x^2(x-8)-2(x-8) = (x-8)(x^2-2)

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Use the elimination method to solve the system of equations

Lady bird [3.3K]

Answer:

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

4 0

3 years ago

The ratio of french fries to packets of ketchup in Philip's bag is 8:1. What does this mean?

Illusion [34]

Answer:

The ratio means that for every 8 fries, there is a ketchup. So if there were 16 fries, then there are 2 ketchup.

3 0

3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

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

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

Write fifty two and 40 hundredths in the standard form decimal

Mashutka [201]

Answer:

52.4

Step-by-step explanation:

40 hundredths as a decimal is 40/100 which is .40.

The "fifty two" is a whole number which is in front of the ".40" which makes 52.4 or 52.40.

5 0

3 years ago

The school cafeteria serves tacos every 6th day and cheeseburgers every 8th day. If tacos and cheeseburgers are on today's menu,

max2010maxim [7]

They will never be on the same day again .

8 0

3 years ago