<h3>
Answer: -1 < x < 3</h3>
Work Shown:
| x-1 | < 2
-2 < x-1 < 2 ... see note1 below
-2+1 < x-1+1 < 2+1 ... see note2
-1 < x < 3
- Note1: use the rule that |x| < k turns into -k < x < k for some positive real number k.
- Note2: Add 1 to all sides to isolate x
Answer:
(-6,3) and (-4,-5) are the solutions to the system
Step-by-step explanation:
The solution to a system of equations are the point(s) where the graphes intersect. On the graph is a linear function and an exponential. Because of the curve in the exponential, the graph has two solutions at (-6,3) and (-4,-5).
Applying the distance formula, to calculate the coordinates of B, use: 3 =√[(x-4)² + (y-2)²]
<h3>What is the Distance Formula?</h3>
The distance formula, 
, is used to find the distance between two points on a coordinate plane.
We are given one point A(4, 2), let:
B (x, y) = (x2, y2)
A(4, 2) = (x1, y1)
d = 3 units
Plug in the values into the distance formula to find how to calculate the coordinates of B:
3 =√[(x-4)² + (y-2)²]
Learn more about the distance formula on:
brainly.com/question/661229
#SPJ1
<span>amount rounded to the nearest tenth of 1.248 should be 1.2
Answer is 1.2</span>
Answer:
6
−
4 x
=
6
x
−
8
x
−
2 Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
6
x
−
8
x
−
2
=
6−
4
x Subtract 8
x from 6
x
.
−
2
x
−
2
=
6
−
4
x
Move all terms containing x
to the left side of the equation.
Tap for fewer steps...
Add 4
x
to both sides of the equation.
−
2
x
−
2 + 4 x
= 6 Add −
2
x and 4
x
.
2
x
−
2
=
6
Move all terms not containing
x to the right side of the equation.
Tap for fewer steps...
Add 2
to both sides of the equation.
2
x
=
6
+ 2 Add 6 and 2
.
2
x
=
8
Divide each term by
2 and simplify.
Tap for fewer steps...
Divide each term in
2
x
=
8 by 2
. 2
x
2
= 8 2 Cancel the common factor of
2 . Tap for more steps...
x
=
8 2 Divide 8 by 2
.
x
=
4
