Find the number which divides 200 and 136 leaving 8 as remainder.

16,32,64

Step-by-step explanation:

Given no divides 200 and 136 leaving remainder 8

Let no. be P

therefore

200=kP+8

where k is any constant

136=aP+8

where a is another constant

subtracting

64=P(k-a)

i.e.P is multiple of 64

either 64,32,16

but not 8,4,2 as they completely divide both numbers

answer: 88

step-by-step explanation:

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.