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Natasha_Volkova [10]
3 years ago
13

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

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

A

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:

19

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
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