Answer:
C. The slope of the function is -2 and the y-intercept is 4.
Explanation:
The y-intercept is the point when x = 0. On the table when x is 0, y is 4.
The slope of the function is -2 because the y value is going down by 2 for each +1 of x.
x │ y
-2 │ 8
0 │ 4
↓ +1 ↓ -2
1 │ 2
↓ +1 ↓ -2
2 │ 0
Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
Answer: The answer is 1, 2
Step-by-step explanation:
Answer:
D. -17/2
Step-by-step explanation:
1/2 - 4 (1/2 + 1)^2
First we evaluate what is inside the parentheses
1/2 - 4 (3/2) ^2
Now we square what is inside the parentheses
1/2 - 4(9/4)
Now multiply
1/2 -9
Get a common denominator 9 = 9 *2/2 = 18/2
1/2 - 18/2
-17/2
Answer:
dh/dt = 3/25π m/min
Step-by-step explanation:
Radius = 5m
Rate (dV/dt) = 3 cm^3 / min
Leaking rate = 1 cm^3 / min
Volume = πr^2h
Volume = π(5)^2h
V= 25πh
Differentiate volume implicitly with respect to time
dV/dt = 3 cm^3/min
3 = 25π(dh/dt)
dh/dt = 3 m^3/min /25πm^2
dh/dt = 3/25πm/min