Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
see below
Step-by-step explanation:
Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.
Answer: 2 black dogs
Step-by-step explanation:
Brown dogs = 5
Black dogs= 10
Ratio of brown dogs to black dogs = 5/10/= 1:2
Answer:
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Step-by-step explanation:
In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.
volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³
volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
