If y varies directly with X and Y equals 21 when X equals 3 find Y if x =5

35

Step-by-step explanation:

y = k*x

21 = k*3

k = 7

x=5  .. y = 7 * 5 = 35

X = 5 and Y = 35

Step-by-step explanation:

Y is 21 when x is 3. Divide both x and y by 3 giving you y=7 and x=1. Then multiply both sides by 5 giving you x=5 and y=35

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.

2

step-by-step explanation: