Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.

Set these equations equal to zero



If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.

and

Answer:
The linear speed is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
therefore
The linear speed is
69.75
I hope this helped you out!!
Answer: The two equations are:
y = 5x + 40
y = 3x + 60
In each problem, you are given the cost per ride. That is the slope, it goes in front of the x.
Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.
Now, the equations are in slope intercept form. Y = MX + B
Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.