f(x) = -5x - 15
Let y = f(x)
y = -5x - 15
Switch the x and y places, and solve for y:
x = -5y - 15
-5y = x + 15
y = (x + 15)/-5
y = -(x/5) - 3
So the inverse of : f(x) = -5x - 15 is
-x/5 - 3
Answer:
Each number is being multiplied by 3.
Thr next 3 numbers would be, 486, 1,458, and 4,374
For this case we have the following equation:
h = -16t2 + 32t + 6
Deriving we have:
h '= -32t + 32
Equaling to zero:
-32t + 32 = 0
We clear the time:
t = 32/32
t = 1 s
We are now looking for the maximum height:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
The ball reaches its maximum height in:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet
option: 22 ft, 1 s
Answer: -13/20
Step-by-step explanation:
Answer:
- a. 552 square inches
- b. 835.7 square inches
- c. 1256.6 square inches
- d. 4584 square inches
- e. 432 cubic inches
- f. 1847.3 cubic inches
- g. 4188.8 cubic inches
- h. 9179.3 cubic inches
Step-by-step explanation:
a-c. The area formulas for these figures are ...
rectangular prism: A = 2(lw +h(l+w))
cylinder: A = 2πr(r +h)
sphere: A = 4πr^2
d. The total will be the sum of products: area of each pillow times the number of that type
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e-g. The volume formulas for these figures are ...
rectangular prism: V = lwh
cylinder: V = πr^2h
sphere: V = (4π/3)r^3
h. As with area, the total volume is the sum of products: volume of each pillow times the number of that type.