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3 years ago

Which is the correct answer? A , B , C , or D?

Mathematics

1 answer:

NeX [460]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x) - g(x)

= x² - 8 - (4 - x) ← distribute parenthesis by - 1

= x² - 8 - 4 + x ← collect like terms

= x² + x - 12 → A

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What is the length of the longer of the two chords shown?

Rainbow [258]

Answer:

Step-by-step explanation:

When 2 chords intersect then the product of the parts of one chord equal the product of the parts of the other chord, that is

12(x - 7) = 4(x + 3) ← distribute parenthesis on both sides

12x - 84 = 4x + 12 ( subtract 4x from both sides )_

8x - 84 = 12 ( add 84 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Thus

12 + x - 7 = 12 + 12 - 7 = 17

4 + x + 3 = 4 + 12 + 3 = 19 ← longer chord

5 0

4 years ago

Read 2 more answers

Please help with this question.

Flura [38]

Answer:

Step-by-step explanation:

$\frac{z}{15}=\frac{6}{9}\\\\z=\frac{6}{9}*15\\\\z=2*5=10$

3 0

4 years ago

Read 2 more answers

A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups

mash [69]

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

For this problem, we have the <u>standard deviation for the sample</u>, thus, the t-distribution is used.

The sample mean is of 15, thus $\overline{x} = 15$ .
The sample standard deviation is of 9, thus $s = 9$ .
The sample size is of 10, thus $n = 10$ .

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

$M = t\frac{s}{n}$

Then:

$M = 2.2622\frac{9}{\sqrt{10}} = 6$

The confidence interval is:

$\overline{x} \pm M$

Then

$\overline{x} - M = 15 - 6 = 9$

$\overline{x} + M = 15 + 6 = 21$

The confidence interval is (9, 21).

A similar problem is given at brainly.com/question/25157574

6 0

3 years ago

Determine the slope of (a)

Marina CMI [18]

XD do what kind of question is this.

8 0

3 years ago

Read 2 more answers

4. The length of a rectangle is eight more than twice its width. If the length is less than 34, then what is the width? Variable

Dmitrij [34]

Answer:

w < 13

Step-by-step explanation:

variable: w

Inequality: 8 + 2w < 34

Solution: 2w < 26

w < 13

5 0

2 years ago