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).
90
Step-by-step explanation:
Oh this question is kinda tricky. At first glance it’s 1 : 1.5 but notice the units. The model car is 10 inches long and the actual car is 15 feet long.
I think you know where to go from there, but 15 feet * 12 inches = 180 inches.
10 : 180 simplifies to 1 : 18 inches
Answer:
d) 12.9 in
Step-by-step explanation:
3)
ΔABC ≅ ΔXYZ
AB/AC = XY/XZ
7/10 = 9/XZ
XZ = 10 *9/7
XZ = 12.9
Answer:
d) 12.9 in
By translating a shape, you are basically moving it around the graph. For example, one of the points of your shape could be on the origin (0,0). You could then translate it 4 units up and 6 units to the left. You would write this translation as (x-6, y+4). If you were starting at (0,0) your point translation would be at (-6, 4), but if you were to translate a point at (1, 1) your translated point would be at (-5, 5).
