A) because when they are equal it means that their y has the same value, which means their intersection point.
B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2
y1 = 4^-(-2) = 4^2 = 16
y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2 => so x=-2 isn't our answer
-------------------------------------------------------
x = -1
y1 = 4^-(-1) = 4^1 = 4
y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2 => so our answer will be x = -1
-------------------------------------------------------
x = 0
y1 = 4^-(0) = 4^0 = 1
y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2 => so x=0 isn't our answer
--------------------------------------------------------------
x = 1
y1 = 4^-(1) = 4^(-1) = 1/4
y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2 => so x=1 isn't our answer
--------------------------------------------------------------
x = 2
y1 = 4^-(2) = 4^(-2) = 1/16
y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2 => so x=2 isn't our answer
Which means that our final answer is: x=-1
C) You should draw both graphics, and their intersection point (x) will be the answer.
I hope it helped.
Hello!
<u>Number 22
</u>
: We'd plot the first point at 0 since there is no stated y-intercept. Next, we'd use our slope to determine where to plot the next point, and that would create our line. According to the problem, our slope is

, which automatically tells us that the slope would be going downwards because it's negative.
To plot our point, use the slope while going down and across from our y-intercept, which is 0. Go down 1, and over 2.
Your points should be at (0, 0) and (-1, 2)
<u /><u>Number 23:</u> This one will be a bit trickier since the equation is not in slope-intercept form. First, let's convert it to slope-intercept form.

Flip some of those numbers around to get our equation in slope-intercept form:

Now to graph this, we do the same as we did for the last problem. Plot our first point at (0, 2), since 2 is our y-intercept. Afterwards, go up 2 and over 3, then plot the other point.
Your points should be at (0, 2) and (4, 3)
Answer:
B
Step-by-step explanation:
To determine which ordered pair is a solution, substitute the coordinates of the point into the left side of the inequality and if it satisfies the inequality then it is a solution.
A (- 3, 0 )
- 9 + 0 = - 9 < -8 → (- 3, 0) is not a solution
B (- 2, - 1)
- 6 - 1 = - 7 > - 8 → ( - 2, - 1) is a solution
C (0, - 10)
0 - 10 = - 10 < - 8 → (0, - 10) is not a solution
D (2, - 16)
6 - 16 = - 10 < - 8 → (2, - 16) is not a solution