B should be the only correct answer.
<span>Ray BE bisects </span>∠ABD.
According to picture, this is the solution. In case the question is complete.
Answer:
8
2−x
=2
8^{2-x}=8^{1/3}8
2−x
=8
1/3
2-x=\dfrac{1}{3}2−x=
3
1
x=\dfrac{5}{3}x=
3
5
2.
(\dfrac{1}{2})^{x}<\dfrac{1}{8}(
2
1
)
x
<
8
1
(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(
2
1
)
x
<(
2
1
)
3
x>3x>3
3.
5^x=25^{x-2}5
x
=25
x−2
25^{x/2}=25^{x-2}25
x/2
=25
x−2
\dfrac{x}{2}=x-2
2
x
=x−2
\dfrac{x}{2}=2
2
x
=2
x=4x=4
4.
3^{x+2}\geq273
x+2
≥27
3^{x+2}\geq3^33
x+2
≥3
3
x+2\geq3x+2≥3
x\geq1x≥1
5.
4^{3x}=8^{x-1}4
3x
=8
x−1
2^{6x}=2^{3x-3}2
6x
=2
3x−3
6x=3x-36x=3x−3
3x=-33x=−3
x=-1x=−1
Step-by-step explanation:
3(x - 1) < -3(2 - 2x)
Our goal here is to isolate x in one side of the inequality and the value on the other:
First thing you can do is divide both sides by 3 to completely eliminate the 3 on the outside of both sides
3/3(x - 1) < -3/3(2 - 2x)
x - 1 < -(2 - 2x)
Distribute the negative sign on the right side of the inequality
x - 1 < -2 - (-2x)
x - 1 < -2 + 2x
Now you can subtract x from both sides to move the x to the right side
x - x - 1 < -2 + 2x - x
- 1 < - 2 + x
Then add 2 to both sides to move the -2 to the left side
-1 + 2 < -2 + 2 + x
1 < x
x > 1
Answer: x > 1
Hope it helps :)
