Yuki was making costumes for a play. She needed 7/8 of a yard of orange fabric for one costume and 1 3/8 yards of orange fabric for the other costume. How much orange fabric did she need to make the two costumes.

2 1/4

Step-by-step explanation:

This is an addition problem.

7/8 + 1 3/8 = 7/8 + 1 + 3/8 = 1 + 10/8 = 1 + 8/8 + 2/8 = 1 + 1 + 1/4 = 2 1/4

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

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.