There is some ambiguity here which could be removed by using parentheses. I'm going to assume that you actually meant:
x-3
h(x) = ---------------
(x^3-36x)
To determine the domain of this function, factor the denominator:
x^3 - 36x = x(x^2 - 36) = x(x-6)(x+6)
The given function h(x) is undefined when the denominator = 0, which happens at {-6, 0, 6}.
Thus, the domain is "the set of all real numbers not equal to -6, 0 or 6."
Symbolically, the domain is (-infinity, -6) ∪ (-6, 0) ∪ (0, 6) ∪ (6, +infinity).
X=$20/$4
x=5 gallons
x is the amount of gallons.
1 gallon=32 miles
5 gallons=160 miles
Margie can drive 160 miles on $20 of gas
Answer:
$10.50/1.25 = $10.20
Step-by-step explanation:
hope this helps
Answer:
A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions.
V = BH (Base x Width) of a triangular its 1/2BH
The base is 10 x 5, 50 is the base.
The height is 6, and that would be 300 / 2 since it's triangular so its 150 inches squared for one. Since there are 2.
The total volume is 300 inches squared.
Step-by-step explanation: