Answer:
f(g(x)) = 3x -5
h(g(x)) = x^2 -8x +17
Step-by-step explanation:
— f(g(x))
f(g(x)) = f(x -4) = 3(x -4) +7 = 3x -12 +7
f(g(x)) = 3x -5
_____
— h(g(x))
h(g(x)) = h(x -4) = (x -4)^2 +1 = x^2 -8x +16 +1
h(g(x)) = x^2 -8x +17
Answer:
x = 2
Step-by-step explanation:
Probability that the marble comes to rest in the shaded region is equal to the ratio of the shaded area to the total area.
Probability 'P' =
Area of the shaded region (A')= (x + 1)(x + 2)
Total area of the figure (A) = (2x + 1)(3x + 2)
P =
10(x + 1)(x + 2) = 3(2x + 1)(3x + 2)
10(x² + 3x + 2) = 3(6x² + 7x + 2)
10x² + 30x + 20 = 18x² + 21x + 6
(18x² - 10x²) + (21x - 30x) + (6 - 20) = 0
8x² - 9x - 14 = 0
x =
x =
x =
x = -
Therefore, positive value of x = 2 will be the answer.
0.55 bc to turn a fraction to a %, u divide the top number by the denominator. 11 divided by 20=0.55