Answer:
80 MINS to bike 144 miles
Step-by-step explanation:
20=6 miles
144 divided by 6 = 24
24 more miles to go
6 times 4 = 24 miles
20+20+20+20= 80
144/6 = 24
24 x 20 = 480
480 is the answer
B is your answer
Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients. 4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.
The discriminant (part of the quadratic formula) is b^2 - 4ac. Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.
-b ± √(b^2 - 4ac)
Then the quadratic formula x = ---------------------------
2a
-(-1) ± √17 1 ± √17
takes on the values x = ----------------- = ---------------
4 4
2601
The integers between 5 and 102 are
7, 9, 11, 13, 15, 17,19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101
The sum of the odd intergers between 2 and 105 can be calculated as follows
= (N + 1/2)^2
= (101 + 1 /2) ^2
= (102/2)^2
= 51^2
= 2601
Hence the sum of the odd intergers between 5 and 102 is 2601
