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solve for c. a(c−b)=d c=d + aba c=d − abb c=d − aba c=ab − da

c = \frac {d + ab} {a}

Step-by-step explanation:

For this case we have the following equation:

a (c - b) = d

We want to solve the equation for the letter c.

To do this, we apply the distributive property:

ac-ab = d

Then, applying addition property of equality we have:

ac = d + ab

Then applying division property of equality we have:

c = \frac {d + ab} {a}

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.