Answer:
See explanation
Step-by-step explanation:
Assuming the given equation is
To solve for r, we first divide both sides by a.
We now subtract 5 from both sides:
We now divide through by - 1 to get:
Or
I set up these three factors
(x-2) * (x-3) * (x-5) and then multiplied these to get this equation:
x^3 -10x^2 +31x -30 = 0
Answer
42
Step-by-step explanation:
Let x be Chris's age before, x+35 be Chris's age now.
2(x+35) = 35+7x
2x+70 = 35 +7x
35=5x
7=x
7+35=42
Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Answer:
x= 1/3 , -4/3
Step-by-step explanation:
9x^2 + 9x -4 =0
(3x-1) (3x+4) =0
x= 1/3 , -4/3
