Solve for x over the real numbers:
x^3 (x^2 - 4) = 0
Split into two equations:
x^3 = 0 or x^2 - 4 = 0
Take cube roots of both sides:
x = 0 or x^2 - 4 = 0
Add 4 to both sides:
x = 0 or x^2 = 4
Take the square root of both sides:
Answer: x = 0 or x = 2 or x = -2
Given:
The system of equations that represent the constraints for the given situation is
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Multiply equation (i) by 4.
...(iii)
Subtracting (iii) from (ii), we get



Divide both sides by 12.90.


Put this value in (i).



The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
For every x you see in the f function you will replace with the h function
Answer:
So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.
Step-by-step explanation:
The height h of the ball is modeled by the following equation

The problem want you to find the times the ball will be 48 feet above the ground.
It is going to be when:





We can simplify by 16t. So

It means that
16t = 0
t = 0
or
t - 2 = 0
t = 2
So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.
Answer:
we start with -8 divided by 2 because of PEMDAS
we now have -4
then we do 4-4+3=3
Step-by-step explanation: