Answer:
1. D
2. A
Step-by-step explanation:
Q1. Kerry is simplifying 
By the definition of negative powers,

Hence,

So, the first step in simplifying the expression is

Q2. Given the expression

First, use the definition of negative powers:

Thus,

Answer:
Step-by-step explanation:
Solution by substitution method
3x-4y=8
and 18x-5y=10
Suppose,
3x-4y=8→(1)
and 18x-5y=10→(2)
Taking equation (1), we have
3x-4y=8
⇒3x=4y+8
⇒x=(
4y+8)/
3 →(3)
Putting x=
(4y+8
)/3 in equation (2), we get
18x-5y=10
18(
(4y+8)
/3) -5y=10
⇒24y+48-5y=10
⇒19y+48=10
⇒19y=10-48
⇒19y= -38
⇒y=-
38
/19
⇒y= -2→(4)
Now, Putting y=-2 in equation (3), we get
x=4y+8
x=
(4(-2)+8)
/3
⇒x=
(-8+8)/
3
⇒x=
0/
3
⇒x=0
∴x=0 and y= -2
The last choice because anything greater than a negative number eventually leads to the posetive numbers, plus substituting any posetive number aolves the inequality.
A. 2x2 – 4x – 6
Looking at the diagram, there two positive x's to the power of 2, and there are four negative x and six minus signs. Inspecting it and adding all the same terms, you will get the quadratic expression 2x^2 - 4x - 6.