<span>P(4, -4) ----> (-4, 7)
x- axis from 4 to -4 ; move to the left 8 units.
y-axis from -4 to 7 ; move up 11 units
</span><span>D. left 8; up 11
</span><span>C(3, -1) translated to the left 4 units and up 1 unit.
from 3 of x-axis move to the left 4 units to arrive at -1
from -1 of y-axis move up 1 unit is to arrive at 0.
(xy) </span>→ (x-4, y + 1) (-1,0) Choice D.
Answer:
2
Step-by-step explanation:
3z < 30 - 6
3z < 24
z< 24/3
z< 8
answer is z < 8
<h3>Part 1</h3>
If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.
<u>The first binomial can be further factored:</u>
<h3>Part 2</h3>
The quadratic expression needs to have two roots in order to be factored as two binomials.
<u>The discriminant must be positive or zero:</u>
We have a = 3, b = k, c = -8
<u>So we get following inequality:</u>
- k² - 4*3*(-8) ≥ 0
- k² + 96 ≥ 0
<u>Since k² is positive for any value of k, the solution is any value of k:</u>
