Answer:
50%: day 13
100%: day 26
Step-by-step explanation:
We are given two days and the amount of the moon that is illuminated. The two days are points on a straight line.
(1, 0.02), (2, 0.06)
y = mx + b
m = (0.06 - 0.02)/(2 - 1) = 0.04
y = 0.04x + b
0.02 = 0.04(1) + b
b = -0.02
y = 0.04x - 0.02
We want y = 50% = 0.5
0.04x - 0.02 = 0.5
0.04x = 0.52
x = 13
y = 100% = 1
0.04x - 0.02 = 1
0.04x = 1.02
x = 25.5
Answer:
6 + 4 + 10
Step-by-step explanation:
Answer:
- x = 4 is the only real zero
Step-by-step explanation:
<u>Find the zero's of f(x)</u>
- 2x³ - 12x² + 20x - 16 = 0
- x³ - 6x² + 10x - 8 = 0
- x³ - 4x² - 2x² + 8x + 2x - 8 = 0
- x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0
- (x - 4)(x² - 2x + 2) = 0
- (x - 4)(x² - 2x + 1 + 1) = 0
- (x - 4)[(x - 1)² + 1] = 0
- x - 4 = 0 ⇒ x = 4, we already know this
- (x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negative
Answer:
D
Step-by-step explanation:
First we take 5/3/4 so that we can find the unit rate. We get 20/3, if we divide 3/20 we get 6 2/3.