Answer:

Step-by-step explanation:
We want to simplify:

To simplify this, we need to write the negative index as positive.
So we use the property,

When we apply this property, we get:

Therefore the fourth option is correct.
we have
------> inequality A
The solution of the inequality A is the shaded area below the dotted line
see the attached figure N 
------> inequality B
The solution of the inequality A is the shaded area above the dotted line
see the attached figure N
The solution of the system of linear inequalities is the shaded area between the two dotted lines
see the attached figure N 
therefore
the answer in the attached figure N 
Answer:
(v - 6)(v + 4)
Step-by-step explanation:
v² - 2v - 24
v² + 4v - 6v - 24
v(v + 4) - 6(v + 4)
(v - 6)(v + 4)
Answer:
Yes, (0,4) is a solution
Step-by-step explanation:
We have to plug in 0 in x and 4 in y IN BOTH THE INEQUALITIES.
IF BOTH ARE TRUE, then the system of inequalities is TRUE.
<u>Let's check:</u>
y ≤ -3x+4
4 ≤ -3(0)+4
4 ≤ 4
Is 4 less than OR equal to 4? Yes. THis is satisfied.
<u>Now, checking 2nd one:</u>
y > x^2 + 3x - 2
4 > (0)^2 + 3(0) - 2
4 > -2
Is 4 greater than -2? Yes, it is. So this is satisfied as well.
Hence, (0,4) is a solution to the system of inequalities shown.