L’oreal’s car can gets better mileage because you have to divide both the miles and the amount of gallons they carried. L’oreal: 420 divided by 14 is 30 = 30 miles per gallon. Laila: 435 divided by 15 = 29 miles per gallon. But since we have to even out the amount of gallons they both carry, we can either take away 29 to the 435 (Laila), or add 30 to the 420(L’oreal). 420 + 30 = 450. 435 - 29 = 406. 420 > 406 = 450 > 435. L’oreal has the better mileage
Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
2 (functions) · 2 (capacities) · 3 (colors)=12 combinations of options
