For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth-grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh-grade students ate 9 slices of raisin bread. The eighth-grade students ate 6 slices of raisin bread.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

hi! i think the answer is 1/2 : )

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.