Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)
<u>Answer</u>
Time taken to paint the fence by Marco and Jaylyn is 2.72 hours
Heading can be given to this is work per hour
<u>Explanation</u>
Macro 6 hours to paint fence by himself
Therefore his 1 hour work = 1/6
Jaylyn 5 hours to paint the same fence by herself
Therefore 1 hour work of Jaylyn = 1/5
Together 1 hour work = 1/6 + 1/5 = 11/30
Therefore time taken to paint the fence together by them = 30/11 = 2.72 hours
(300g^2) / (0.0005g) = 600,000g = 6 x 10^5g
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity

Put the value into the formula


We need to calculate the time
Using formula of time



We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,


For second bicycles,


Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.