Solve for x: |x − 2| + 10 = 12

2 answers:

5 0

First you can add -10 on both sides so you gonna have :
l x - 2 l = 12 - 10 ⇒ l x - 2 l = 2 now because of the absolute value you should say :
1) x - 2 = 2 ⇒ x = 2 + 2 ⇒ x = 4

2) x- 2 = -2 ⇒ x = -2 +2 ⇒ x = 0
so the answer is first one :)))
i hope this is helpful
have a nice day

raketka [301]3 years ago

3 0

✯Let's solve this equation step-by-step!
✯is the question you've asked us today:
|x − 2| + 10 = 12

✯Add -10 to both sides:
|x−2|+10+−10=12+−10

✯Solve Absolute Value:
|x−2|=2

✯We know either:
x−2=2 or x−2=−2

(Possibility 1) x−2=2

(Add 2 to both sides) x−2+2=2+2

x=4

(Possibility 2) x−2=−2

(Add 2 to both sides) x−2+2=−2+2

x=0

✯So since we have gotten x=4 and x=0 you answer shall be:

B. x=4 and x=0

✯I hope this helps!✯

You might be interested in

If f(3) = 272 - 3z +2 and g(z) = 212-32-2, what is fx) - g(x)?

tiny-mole [99]

Answer:

the answer is 1. 6x+4

Step-by-step explanation:

3 0

3 years ago

All of the answers because I like school

Tom [10]

L like school because it keep me busy and challenged .

6 0

3 years ago

Which statements describe the function ? check all that apply. f(x) has one real zero because it crosses the x-axis once. f(x) h

KonstantinChe [14]

Statements that describe the given function are:

(A) f(x) has one real zero because it crosses the x-axis once.
(D) f(x) has a real zero at 2.5.
(G) f(x) has an x-intercept at (2.5, 0).

<h3>What is a function?</h3>

A function from a set X to a set Y allocates exactly one element of Y to each element of X.
The set X is known as the function's domain, while the set Y is known as the function's codomain.

To find the statements that describe the given function:

The following function can be reorganized: $f(x)=\frac{2*x-5}{2*(x-1)*(x+1)}$
There is one real zero (numerator) in the function (x-intercept), which is x = 2.5.
Besides, x = 1 and x = -1 are poles (denominator), that is, x-values so that function is undefined.