Answer:
x=±1. are the factors of the quadratic equation.
Step-by-step explanation:
Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60
Rearranging and adding the terms in the expression and equating to zero.
f(x)= 60x² -60=0
60(x² - 1) =0
The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.
from the zero product property we can infer that 60≠0⇒x² - 1=0
⇒(x+1)×(x-1) = 0
⇒x=±1.
Therefore, x=±1. are the factors of the quadratic equation.
I'm not 100% sure but I think it's 10:10 because of the Spoons - 10:30.
Answer:
x=27
Step-by-step explanation:
-4x+4=-3x+31
4=x+31
27=x
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.
Volume of cylinder: πr²h
π2.5²(20) = 392.7 cm³
Volume of sphere: 4/3πr³
4/3π2.5³ = 65.45 cm³
392.7 - 65.45 = 327.25
The amount of space in the container unoccupied by the rubber balls is 327 cm³.
