Answer:
Step-by-step explanation:
If you would like to find the x-intercepts of the function f(x) = - 2 * x^2 - 3 * x + 20, you can calculate this using the following steps:
f(x) = - 2 * x^2 - 3 * x + 20
f(x) = - (2x - 5) * (x + 4)
1. x = - 4
2. x = 5/2
(x, y) = (-4, 0)
The correct result would be (-4, 0).
We have this equation:

and we need to find the value of x.
First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:
Next step we must do is to apply logarithms:

Next, we have to apply identities and then to solve the equation:




Finally, we have the value of x which was our goal. This is the answer for the question above:
The answer is D.
Answer:
x(1+.05)
or 1.05x
Step-by-step explanation:
Answer: the swimming pool can hold 31707.72 gallons of water.
Step-by-step explanation:
The swimming pool is shaped like a cylinder. The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylindrical swimming pool.
h represents the height of the pool.
π is a constant whose value is 3.14
Therefore, volume of the swimming pool is
Volume = 3.14 × 15² × 6 = 4239 cubic feet
if one cubic foot holds 7.48 gallons of the water, then the number of gallons of water that the swimming pool can hold is
4239 × 7.48 = 31707.72 gallons of water