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
almond37 [142]
2 years ago
10

|x-1| if x>1 how do you simplify this

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Use the definition of absolute value.

|x| = \begin{cases} x & \text{if } x \ge0 \\ -x & \text{if } x < 0 \end{cases}

The absolute value is always non-negative. So if x is already non-negative, |x|=x is unchanged. But if x is negative, then |x|=-x because multiplying x by -1 makes it positive.

Now, if x>1, then by the definition of absolute value,

x > 1 \implies x - 1 > 0 \implies \boxed{|x - 1| = x - 1}

You might be interested in
Terri's teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explai
kirza4 [7]
f(x)=3\cdot5^x\ \ \ and\ \ \ g(x)=127-2x\\\\f(x)=g(x)\ \ \ \Leftrightarrow\ \ \ x\approx2.3043\\\\the\ graph\ in\ annex

8 0
3 years ago
Solve the equation for y<br> y +5=-(x – 3)
goldenfox [79]

Answer:

y=-x-2

Step-by-step explanation:

y+5=-(x-3)

y+5=-x+3

y=-x+3-5

y=-x-2

6 0
2 years ago
Read 2 more answers
HELP PLEASE!!!!!!????
otez555 [7]

Answer:

Step-by-step explanation:

c. 235.00 intrest rate

3 0
3 years ago
Read 2 more answers
What is the coefficient of b in the expression b+10? Explain
MariettaO [177]

Hello!

A coefficient is a constant multiplied by a variable. As you can see, b is not being multiplied by a number we can see. The thing is, it still has a coefficient. Isn't 1b the same thing as b? This would mean our coefficient would be 1.

I hope this helps!


4 0
3 years ago
Can some please help me
qaws [65]

Answer:

i think it is D

3 0
3 years ago
Other questions:
  • Point L has coordinates (3 -5). The coordinates of point L' after a reflection are (-3,-5). Without graphing, tell which axis po
    13·2 answers
  • The sum of two trinomials ________.
    5·2 answers
  • A straight line has the genral equation y=mx + c.state the significance of m and c​
    8·1 answer
  • If you flip a coin and roll a 666-sided die, what is the probability that you will flip a tails and roll at least a 222?
    14·1 answer
  • Pleas help please hurry please thank u!!!!!!
    10·2 answers
  • Ted analyzes how much sugar is in 3 popular candy bars. He records the data on the line plot below.
    14·1 answer
  • Subtract. Simplify, if possible.<br> 5/8<br> -<br> * 2 1 / 2 - 3
    11·1 answer
  • Mr. Sherman recently asked Mr. Brooks to design a new game room in the school. The game room would have music, board games, vide
    12·1 answer
  • Hi can anyone help me with this question please. <br> It is the combination fraction lesson.
    6·2 answers
  • Julio bought tables and chairs for his restaurant. He bought 16 total items and spent $1800. Each table cost $150 and each chair
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!