The answer is b. 7 is greater than or equal to 6.
Answer: 76Wh
Step-by-step explanation:
Basically all you have to do to find the answer is multiply 80 by 0.05. Then after that you subtract 80 by the answer you got. That's pretty much it.
80
<u>x 0.05</u>
4
80
<u>- 4</u>
76
Buckle up, this one was a long one.
I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x).
Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x.
To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x).
Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1.
Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1.
Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.
Set each polynomial equal to 1/24 to get you possible answers for what x can be.
x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24.
x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24
Answer/Step-by-step explanation:
Part A:
Evidence 1: the line passes through the point of origin, (0, 0)
Evidence 2: it has a unit rate or constant of proportionality, k = y/x = 5/3
Part B:
When extended, if the ray passes through the point, (18, 30), then y/x of this point, should give us the same unit rate (k) of 5/3 of the graph.
Thus:
y/x = 30/18
Simplify
= 5/3
Thus, it has the same unit rate of the graph, therefore, the ray passes through the point (18, 30).
