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3 years ago

Find the range of the function for given domain f(x)=2x-7; (-2,-1,0,1,2)

Mathematics

1 answer:

Gelneren [198K]3 years ago

4 0

Answer:

{-11, -9, -7, -5, -3}

Step-by-step explanation:

Put each domain value into the function to find the corresponding range value. The range is the list of all of those values.

range = f(domain)

= 2{-2, -1, 0, 1, 2} -7 = {-4, -2, 0, 2, 4} -7

= {-11, -9, -7, -5, -3} . . . . . the range for the given domain

_____

If you have a lot of function values to find, a spreadsheet or calculator can be helpful.

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What's y+24 over 4 equals to 8<br>

trapecia [35]

Answer:

y = 8

Step-by-step explanation:

8 + 24 = 32

32/4 = 8

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3 years ago

Read 2 more answers

The ratio of boys to girls is 3:2. If there are a total of 20 children in Mrs. Nelson's class, how many are girls?

Scilla [17]

12:8

So 12 boys

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2 years ago

Ayman can print a document on an apricot printer in 4.5 min how long it will take him to print the same document on a sure-fire

Semenov [28]

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

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Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

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About how many times does it rotate about its axis

during one Earth year?

ANSWER:

Sample answer: about 6 times

6. The table shows the speed, in pages per minute

(ppm), for three different

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a. Andrew needs to print a document that is 180

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printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

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ANSWER:

a. 3 min

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7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

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distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

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ANSWER:

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10. Persevere with Problems Noah has a $20 gift

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13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

D 53

ANSWER:

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

system for $323.96. She paid in 12 equal

installments. About how much did she pay each

month?

ANSWER:

Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

once about its axis.

About how many times does it rotate about its axis

during one Earth year?

ANSWER:

Sample answer: about 6 times

6. The table shows the speed, in pages per minute

(ppm), for three different

brands of printer.

a. Andrew needs to print a document that is 180

pages long. How much longer will it take to print the

document on a Sure-Fire printer than on a Centroid

printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

to print the same document on a Sure-Fire printer?

ANSWER:

a. 3 min

b. 3 min

7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

distance from Jackson to Salem is 84 miles. The

distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

is the distance from Jackson to Denton?

ANSWER:

127 mi

10. Persevere with Problems Noah has a $20 gift

card for an online music store. All songs at the store

have the same price. After Noah buys 3 songs, the

balance on the card is $16.25. What will be the

remaining balance on the card after he buys 5 more

songs?

ANSWER:

$10

13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

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ANSWER:

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3 years ago

83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard devi

arlik [135]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.127 \leq \sigma \leq 2.757$

Step-by-step explanation:

Information given

$\bar X=32.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom given by:

$df=n-1=8-1=7$

The confidence level is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

$\chi^2_{\alpha/2}=104.139$

$\chi^2_{1- \alpha/2}=62.132$

The confidence interval is given by:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.127 \leq \sigma \leq 2.757$

5 0

3 years ago

Subtract the following. Write your answer in standard notation.*<br> 18-92 X 10+

charle [14.2K]

Answer:

-740

Step-by-step explanation:

18-72 equals -74

now -74 *10 equals-740

6 0

3 years ago