Answer:
- 3.2
Step-by-step explanation:
- 5x + 4 = 20
- 5x = 20 - 4
- 5x = 16
x = 16 / - 5
x = - 3.2
Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:

Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:

Subtracting 10 from both sides:

For simplicity, divide both sides by -1:

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

Substitute:

Evaluate:

Simplify the square root:

Therefore:

Simplify:

Approximate:

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.
1. 1st transformation is translation the parent function
6 units to the right to get the function 
2. 2nd transformation is reflection the function
over the x-axis. This transformation gives you the function 
3. 3rd transformation is vertical stretch of the function
by a factor of 2 to get the function 
Only last two are present in options, then
answer: C and D.