Answer:
Step-by-step explanation:
12: 8,700
13: 42
14: 70,000
15: 5,000,000,000
16: 2,210
17: 34,100
18: 1,650
19: 149
20: 290,000
Answer:
Mary has the better deal
Step-by-step explanation:
Jennifer's $1.35 * 12 = $16.20
Mary's 12 flowers = $15.96
Answer:
Domain = (-∞, -2) ∪ (-2, ∞).
Range = (-∞, 0) ∪ (0, ∞).
Step-by-step explanation:
t can't have the value -2 because that would make 1/(t + 2) = 1/0 which is undefined.
So the domain is All real values of t. except t = -2.
As t approaches infinity or negative infinity f(t) approaches zero, and as t approaches -2 from below or above f(t) approaches negative infinity or positive infinity.
There is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get
f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)
one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4
or, to just do f(x)=x+3
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
