All categories

2 years ago

What is the domain and range of g(x)= -|x+2| -1

Mathematics

1 answer:

solmaris [256]2 years ago

4 0

g(x)= -|x+2| -1

The domain is the input values, or x values

it is all real number

The range is the output values, or g(x)

the absolute value at is smallest is 0

0-1 is -1 this is the max since the absolute value is multiplied by -1

g(x) <=-1

the output is less than or equal to -1

You might be interested in

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 page

alina1380 [7]

She reads at 55 pages per hour for 4 hours so 55*4 = 220 pages so far. This means that she read 220 and had 330 left so 220 + 330 = 550 so the book is 550 pages. If she reads 55 pages per hour and there is a total of 550 pages, 550/55 = 10 hours to read the book.

4 0

3 years ago

Pat shows that 16 1/2= the square root of 16. What is one possible way pat could have shown this correctly?

kifflom [539]

<h3>Answer: Choice C</h3>

The base 16 is the same as 4*4.

From there, the rule $(a*b)^c = a^c*b^c$ is used to get $(4*4)^{1/2} = 4^{1/2}*4^{1/2}$

Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is $a^b*a^c = a^{b+c}$ which only works if the bases are both the same.

6 0

3 years ago

The exam scores for 200 students are normally distributed with a mean of 72 and a standard deviation of 10. Which answer choice

Paha777 [63]

Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

$\mu = 72, \sigma = 10$

The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.

X = 82:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{82 - 72}{10}$

Z = 1

Z = 1 has a p-value of 0.84.

X = 72:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{72 - 72}{10}$

Z = 0

Z = 0 has a p-value of 0.5.

0.84 - 0.5 = 0.34.

Out of 200 students, the number is given by:

0.34 x 200 = 68 students with scores between 72 and 82.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

6 0

1 year ago

Alim buys 2 t-shirts for $9.50 each, a 3-pack of socks for $7.95, and a pair of shoes for $7.95 and a pair of shoes for $49.95.

Usimov [2.4K]

First, I add all of my prices together.
$9.50(2)+$7.95+$7.95+$49.95= $84.85
Change 6% to a decimal = .06
Then multiply: 84.85 x .06 = $5.09
$5.09 is the sales tax
$84.85 + $5.09 = $89.94

Answer: $89.94
I hope this helps :)

3 0

3 years ago

3times square root of 81

algol [13]

27 because the square root of 81 is 9 and 9 times 3 is 27.

7 0

3 years ago

Read 2 more answers