<span>ax(d) = absolute value of the difference = ax(a-b).
d(ax) = difference of the absolute value = ax(a) - ax(b).
ax(a-b) = absolute value of (a - b).
ax(a) - ax(b) = absolute value of (a) minus absolute value of (b).
Hope this works :)</span>
Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]
Answer:
Albert Einstein
Step-by-step explanation:
1. a² + 8a = 0
a(a) + (8) = 0
a(a + 8) = 0
a = 0 or a + 8 = 0
- 8 - 8
a = -8
2. (3h - 6)(2h - 8) = 0
(3(h) - 3(2))(2(h) - 2(4)) = 0
(3(h - 2))(2(h - 4)) = 0
6(h - 2)(h - 4) = 0
6 6
(h - 2)(h - 4) = 0
h - 2 = 0 or h - 4 = 0
+ 2 + 2 + 4 + 4
h = 2 h = 4
3. 6m² + 17m + 5 = 0
6m² + 15m + 2m + 5 = 0
3m(2m) + 3m(5) + 1(2m) + 1(5) = 0
3m(2m + 5) + 1(2m + 5) = 0
(3m + 1)(2m + 5) = 0
3m + 1 = 0 or 2m + 5 = 0
- 1 - 1 - 5 - 5
3m = -1 2m = -5
3 3 3 3
m = ⁻¹/₃ m = -1²/₃
4. y² - 36 = 0
y² - 6y + 6y - 36 = 0
y(y) - y(6) + 6(y) - 6(6) = 0
y(y - 6) + 6(y - 6) = 0
(y + 6)(y - 6) = 0
y + 6 = 0 or y - 6 = 0
- 6 - 6 + 6 + 6
y = -6 y = 6
5. (3g + 4)² = 0
(√(3g + 4))² = √(0)
3g + 4 = 0
- 4 - 4
3g = -4
3 3
g = -1¹/₃
