When the rock lands on the ground, it has no height. Or you could say that it has a height of 0. Therefore, our equation when the height, y, is 0, looks like this: 
. Where the height is 0 is where the quadratic goes through the x axis. To find those places where the graph goes through the x-axis, or where the rock hits the ground, x, we have to factor that quadratic to solve for x. Fit that into the quadratic formula to find that x = 15.29 and x = 66.71. These 2 points are the x-intercepts. Because Landon is below the ground, which also happens to be below the first x-intercept, this means that when he throws the rock it goes UP through x = 15.29, up to its highest point (the vertex), and then lands at the other x-intercept, which is 66.71. The x values are where the ROCK is at ground level, not Landon. So your answer is 66.71.
Answer:
The charges will be the same after 4 hours.
Step-by-step explanation:
Total Amount = y
Number of hours = x for x > 2
Garage A: y = $7.00 + (x - 2)*3
Garage B: y = 3.25*x
Part 3: What is the cost to be equal?
3.25x = 7 + 3(x - 2) Remove the brackets
3.25x = 7 + 3x - 6 Collect terms on the right
3.25x = 3x + 1 Subtract 3x from both sides.
3.25x - 3x = 3x - 3x + 1 Combine
0.25x = 1 Divide by 0.25
0.25 x/0.25 = 1 / 0.25
x = 4 hours.
Answer:
B. 0.602%
Step-by-step explanation:
Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.
The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.
Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.
The probability of drawing a penny is: 9 / (20 - 1) = 9/19.
The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.
Multiply these four probabilities together:
(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%
The answer is B.
Eeeeeeertyuiopppppppppppppppppppppppppp
