1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
motikmotik
1 year ago
8

Rewrite each of the following expressions without using absolute value: |x-5|+|x+5| if x<-5

Mathematics
1 answer:
Ivahew [28]1 year ago
4 0

For x < -5:

x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5

So

|x-5|+|x+5|=-x+5-x-5=-2x

You might be interested in
Jack recieved $600 for his birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he
Gwar [14]

so 21 - 13, the money will be invested for 8 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$600\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\to &1\\ t=years\to &8 \end{cases} \\\\\\ A=600\left(1+\frac{0.08}{1}\right)^{1\cdot 8}\implies A=600(1.08)^8\implies A\approx 1110.558126

8 0
3 years ago
34 POINTS HELP CAN YOU HELP ME SOVLE AND SHOW HOW YOU DID IT?
Troyanec [42]
1. Let's solve your equation step-by-step.
<span><span><span>4x</span>+5</span>=<span>6x
</span></span>Step 1: Subtract 6x from both sides.
<span><span><span><span>4x</span>+5</span>−<span>6x</span></span>=<span><span>6x</span>−<span>6x
</span></span></span><span><span><span>−<span>2x</span></span>+5</span>=0
</span>Step 2: Subtract 5 from both sides.
<span><span><span><span>−<span>2x</span></span>+5</span>−5</span>=<span>0−5
</span></span><span><span>−<span>2x</span></span>=<span>−5
</span></span>Step 3: Divide both sides by -2.
<span><span><span>−<span>2x/</span></span><span>−2 </span></span>=<span><span>−5/</span><span>−2
</span></span></span><span><span>
</span></span>Answer:<span>x=<span>5/<span>2</span></span></span>
7 0
3 years ago
A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β so that the cone will have a volum
dezoksy [38]
Volume = area of base *height 

20 = pir^2 *h

20 = 3,14*4*h

h = 20/12,56 = 1,59 rounded 1,6

- using the triangle formed by radius,the height of cup and the slant height of cup so we can writing that

tan ß = h/r so tan ß = 1,6/2 = 0,8

tan ß = 0,8 so ß = arctan 0,8 = 38,6 degrees so 39 degrees 

hope helped 
5 0
3 years ago
A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res
Brums [2.3K]
(1073 + 1108 + x) / 3 = 1000
(2181 + x) / 3 = 1000 ....multiply both sides by 3
2181 + x = 1000 * 3
2181 + x = 3000
x = 3000 - 2181
x = 819 <== they would need to earn $ 819 on Sunday
8 0
2 years ago
The sum of 4 times the number x and 26 is 130.
Lesechka [4]

Answer:

A. Correct choice is C

B. Correct choice is B

Step-by-step explanation:

4 times the number x is 4x.

The sum of 4 times the number x and 26 is 4x+26.

The sum of 4 times the number x and 26 is 130, then

4x+26=130.

Correct option is option C.

Solve this equation:

4x=130-26,

4x=104,

x=26.

6 0
2 years ago
Other questions:
  • For a house call, a veterinarian charges $70, plus $40 an hour. Write an equation that represents the total fee y (in dollars) t
    6·2 answers
  • The formula to find the perimeter of a regular polygon is P = n × s. This means that you multiply the number of sides times the
    6·1 answer
  • Is 2.9 greater than 2.90
    7·2 answers
  • PLEASE HELP ASAP 50 PTS + BRAINLIEST TO RIGHT/BEST ANSWER. please only answer if you know for sure!
    6·2 answers
  • Which equation can be used to solve for "X"?
    7·1 answer
  • Please help me if you can help me
    8·1 answer
  • Plzzzzzzz help me 
    6·1 answer
  • Which expression represents the phrase below?<br> 3 fewer than a number, p
    8·2 answers
  • Deja has two baskets of berries. One of the baskets has 3 3 over 8 pounds of berries and the other basket has 2 7 over 8 pounds
    12·1 answer
  • 4 there are only red sweets and yellow sweets in a bag.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!