All categories

3 years ago

Write without absolute value: y=|x−3|+|x+2|−|x−5|, if x>5

1 answer:

5 0

If x > 5, all the quantities inside absolute value signs are positive, so
|x - 3| = x - 3
|x + 2| = x + 2
|x - 5| = x - 5

The expression becomes x - 3 + x + 2 - (x - 5) which simplifies to x + 4.

You might be interested in

ASAP HELP... I DONT UNDERSTAND.......

daser333 [38]

Answer:

8 is answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Zach is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certai

Alexandra [31]

Answer:

Zach earns $10 and for the pair of boots Zach earns $15

Step-by-step explanation:

Let be x the number of pairs of shoes

Let be y the number of pairs of boots

Then we can establish the following system of equations with the data of the statement:

$5x + 9y = 185 \\7x + 9y = 205$

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

$7x+9y-5x-9y=205-185\\2x=20\\x=\frac{20}{2}\\x=10$

For y replacing in the first equation the value of x and solving for y:

$5.10 + 9y = 185\\9y=185-50\\y=\frac{135}{9}\\y=15$

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15

Please mark be as brainliest if you found this helpful. please

7 0

2 years ago

In the trapezoid, what is the measure of 1?

Setler [38]

Answer:

Step-by-step explanation:

4 0

3 years ago

The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A

vekshin1

Answer:

$15.7-2.58\frac{2.3}{\sqrt{1731}}=15.6$

$15.7+2.58\frac{2.3}{\sqrt{1731}}=15.8$

We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh

Step-by-step explanation:

Information provided

$\bar X= 15.7$ represent the sample mean for the usage of electricity

$\mu$ population mean (variable of interest)

$\sigma= 2.3$ represent the population standard deviation

n=1731 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula if we know the population deviation:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level provided is 0.99 or 95%, the value of significance is $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

And replacing we got:

$15.7-2.58\frac{2.3}{\sqrt{1731}}=15.6$

$15.7+2.58\frac{2.3}{\sqrt{1731}}=15.8$

We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh

7 0

4 years ago

1. Which of the following is 60% in fraction form? A. 2/5 B. 3/5 2. What is 2/5 in percent? C. 4/5 D. 1/5 A. 20% B. 40% C. 80% D

ra1l [238]

1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage

8 0

2 years ago

Read 2 more answers