Answer:
- 4. -3
- 5. -1/2
- 6. 1/2
- 7. 4
- 8. 0
- 9. undefined
Step-by-step explanation:
<u>Use of slope formula:</u>
4.
- m = (7 - 4)/(1 - 2) = 3/-1 = -3
5.
- m = (-2 - 0)/(3 - (-1)) = -2/4 = -1/2
6.
- m = (5 - 3)/(5 - 1) = 2/4 = 1/2
7.
- m = (3 - 0)/(3.5 - 4.25) = 3/0.75 = 4
8.
- m = (3/4 - 3/4)/(5 - 2) = 0
9.
- m = (2 - 3)/(7.5 - 7.5) = -1/0 = undefined
Answer:
The inequality is always true.
True
Step-by-step explanation:
<h3>
Answer is -3</h3>
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
(x-8)(x+7)
so x2 makes the 2 x’s at the start then 8 times 7 is 56
Answer: 36
Step-by-step explanation:
Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.
If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)
12 = 2 x 2 x 3
18 = 2 x 3 x 3
LCM (12, 18) = 2 x 2 x 3 x 3 = 36
Hence, the smallest number of books each could have shelved = 36