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).
Answer:
25. No slope
Step-by-step explanation:
25. Y2 - Y1 / X2 - X1
= -8 - (-3) / 9 - 9
= -5 / 0
= no slope; straight line
Use this formula (Y2 - Y1 / X2 - X1) for each ques.
Find the discount price and subtract from the total to find the sale price.
To find the discount price, multiply 90 b 40% (convert 40% into decimal)
90 x 0.4 = 36
Next, subtract the discount from the total to find the sale price.
90 - 36 = 54
So, the sale price is <u>$54</u>.
Step-by-step explanation:
Let's say R is the initial radius of the sphere, and r is the radius at time t.
The volume of the sphere at time t is:
V = 4/3 π r³
Taking derivative with respect to radius:
dV/dr = 4π r²
This is a maximum when r is a maximum, which is when r = R.
(dV/dr)max = 4π R²
This is 4 times the sphere's initial great circle area, but not the great circle circumference. The problem statement contains an error.
Hello!
The quotient means dividing
The quotient of 63 and 9 is 63/9
12 more means we add
The expression is 63/9 + 12 or 12 + 63/9
Hope this helps!
