Answer:
A) x - 4
B) x² - 4x
C) x³ - 2x² - 8x
D) 2x³ + 3x² - 32x + 15
Step-by-step explanation:
A)
x-intercepts: x = 4
Factors:
(x - 4)
B)
x-intercepts: x = 4, 0
Factor:
(x - 0)(x - 4)
x² - 4x
C)
x-intercepts: x = 4, 0, -2
Factor:
(x - 0)(x - 4)(x + 2)
(x² - 4x)(x + 2)
x³ - 4x² + 2x² - 8x
x³ - 2x² - 8x
D)
x-intercepts: x = 3, ½, -5
Factor:
(x - 3)(2x - 1)(x + 5)
(2x² - 6x - x + 3)(x + 5)
(2x² - 7x + 3)(x + 5)
2x³ - 7x² + 3x + 10x² - 35x + 15
2x³ + 3x² - 32x + 15
Sine m/3 = sine 90 /5
Sine m times 5 = sine 90 times 3
5(sine m) = 1 times 3
Divide by 5
Sine m= 3/5
Second sine m =.6
35
The distance between two points is the length of the shortest path between them. This shortest path is called a geodesic.
8/26+12/26=20/26
So the probability for picking a green or blue marble is 20/26
10/13