Answer:
any number less than 3
Step-by-step explanation:
Probability is (outcome wanted)/(total possible outcomes). Total possible outcome is the whole area of the rectangle. Which is (18)(12)=216. The outcome wanted is just the area of the triangle. (0.5)(2)(5)=5. Now 5/216=0.02
His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
Answer:
g(x) = 0.5x²
Step-by-step explanation:
Since the graph of g(x) still passes through the origin and is u shaped, it is also a quadratic graph but with a different coefficient of x².
Let g(x) = ax²
When x=2, g(x) = 1
Hence, 2a = 1
a = 0.5
Therefore, <u>g(x) = 0.5x²</u>
Y=88
x=42
becase y minus it by 180
