DECORATING Steve and Abby purchased a set of vases to place on a 12-foot long mantel above their fireplace. They want to place one vase 1/4 of the distance from one end of the mantel and the other vase 3/4 of the distance from the same end. What is the shortest distance from the end of the mantel should each vase be placed?

Shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end

Step-by-step explanation:

Length of the mantel = 12 ft

Since first vase is 1/4 of the distance from one end of the mantel, then let's choose left end;.

Distance of first vase from left end = 1/4 × 12 = 3 ft

Also, distance of second vase from left end = 3/4 × 12 = 9 ft

This second vase is 9 ft from left end. Which means it is 3 ft from right end since the mantel is 12 ft in length.

Thus,shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

your answer is -9

step-by-step explanation: