Answer:
x = 0.1515...
100 x = 15.1515...
100 x - x = 15.1515... - 0.1515...
99 x = 15
x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33
0.1515... = 5 / 33
Step-by-step explanation:
Answer:
x = 2/5 or x = -2/3
Step-by-step explanation:
y = x - 2
z = 2y = 2(x - 2) = 2x - 4
4x² = (3y - 5z ÷ 4)²
Substitute y with x - 2. Substitute z with 2x - 4.
4x² = [3(x - 2) - 5(2x - 4) ÷ 4]²
16 * 4x² = [3(x - 2) * 4 - 5(2x - 4) ÷ 4 * 4]²
64x² = [12(x - 2) - 5(2x - 4)]²
64x² = (12x - 24 - 10x + 20)²
64x² = (2x - 4)²
64x² = 4x² - 16x + 16
60x² + 16x - 16 = 0
15x² + 4x - 4 = 0
ac = 15 * (-4) = -60
-6 * 10 = -60
-6 + 10 = 4
15x² - 6x + 10x - 4 = 0
(15x² - 6x) + (10x - 4) = 0
3x(5x - 2) + 2(5x - 2) = 0
(5x - 2)(3x + 2) = 0
5x - 2 = 0 or 3x + 2 = 0
5x = 2 or 3x = -2
x = 2/5 or x = -2/3
Answer:
18
Step-by-step explanation:
1/4 (2x+16) = .5x+4
13=.5x+4
-4 -4
9=.5x
9/.5 . .5x/.5
18=x
The car's velocity at time 
is
It comes to rest at
Its velocity over this period is positive, so that the total distance the car travels is
so the answer is D.
