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
Ne4ueva [31]
3 years ago
15

Simplify without the absolute value |x+3| ; if x>2

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

x+3 if x>2

Step-by-step explanation:

Recall some following basic ideas about absolute value:

|0|=0 or I guess -(0)=0

|3|=3

|-3|=-(-3) or just 3 but there is a reason why I wrote it the way I did.

You see that the absolute value returned the same value if the value was positive.

You see that the absolute value returned the opposite value if the value was negative.

You can include 0 in either.

Let's look at |x+3| alone for a second.

*|x+3|=x+3 if x+3 is positive or zero.

When is x+3 positive or zero? [greater than or equal to 0]

x+3\ge 0

Subtract 3 on both sides

x\ge -3

*|x+3|=-(x+3) if x+3 is negative or zero.

When is x+3 negative or zero? [less or equal to 0]

x+3\le 0

Subtract 3 on both sides

x\le -3

So looking at the bullet points (the *), x>2 fits into the first inequality.

Therefore, |x+3|=x+3.

You might be interested in
PLEASE HELP ME I REALLY NEED HELP PLEASEEEE
kykrilka [37]

Answer:

c

Step-by-step explanation:

area of a circle = πr²

area = A²

A =√ 12π

A = 2 √ 3π

6 0
3 years ago
A factory makes
Digiron [165]

Answer:

Each machine would produce 28,750 candies per day. hope it helps

3 0
2 years ago
Find the solution to the system 4x - y = -12 and -x - y = 3
rjkz [21]

Answer:

Equation Form :  x=-3   y =0      

6 0
3 years ago
Read 2 more answers
HEy, CAn YOu HElp ? :) Plssss (picture below) solve for #5
alexira [117]

Answer: a=60°, b=25°, c=95°,d=60°, e=25°, f=95°, g=60, h=35°

Step-by-step explanation:

a=60°, Because the angle opposite to it is 60°

b=25°, Because if you take 180°-155°, you get 25°

c=95°, Because if you add angles a and b, you get 85°, then you do 180°-85°=95°

d=60°, Because the angle opposite to it does

f=95°, Because angle c, which is opposite to it equals 95°

g=60°, Because if you add angles e and f, you get 85°, then you take 180°-85=95°

h=35°, Because if you add angles c and d, which is 155°, you take 180°-155=35°

4 0
3 years ago
Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of p
Valentin [98]
The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.

Final answer: C. 10
3 0
3 years ago
Other questions:
  • Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in-allowance. The sales tax is 7.
    8·1 answer
  • If y= -12 when x= 9<br> find y when x= -4
    12·1 answer
  • Write a two column proof.<br> Given: 7y=8x-14 ; y=6<br> Prove: x=7
    6·2 answers
  • Find the slope of the line through the point (4,-6) and (-2,-5)
    8·1 answer
  • -2x + 12 + 10x = 4(2x + 3)​
    14·2 answers
  • I REALLY NEED HELP! I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!! IM SO LATE!!!
    15·2 answers
  • Identify the property shown - Commutative, Associative, or Identity
    9·2 answers
  • I need help plz (will give brainlyist)
    8·1 answer
  • Graph the line with slope<br> 2.<br> passing through the point (-3, 3).<br> 3<br> 1<br> ?<br> 13
    15·1 answer
  • 10.8 Cesar Santiago recorded his housing expenses for the month of September as follows: $575.16 for mortgage payment, $23.70 fo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!