Determine which of these does not illustrate two quantities that combine to make 0. a) jane collects 12 seashells and then loses 12. eliminate b) sharon lost 8 pounds and then gained 10 pounds. c) a business's profit if its income is equal to its expenses. d) frank wins five dollars and pays back a $5 debt to a friend.

Option B is the correct answer.

Step-by-step explanation:

A. Jane collects 12 seashells and then loses 12.  This combines to become 0. as first Jane gets 12 shells and then loses same 12 totaling to 0.

B. Sharon lost 8 pounds and then gained 10 pounds. This does not combine to become 0. As Sharon lost 8 pounds then gained 10 making it a total of pounds.

C. A business's profit if its income is equal to its expenses. When the income and expense are equal, the profit is 0. Like you earned $100 and you spent $100, so you have basically 0.

D. Frank wins five dollars and pays back a $5 debt to a friend. This also combines to get 0. Frank gets $5 and then loses it by paying debt, so he is left with 0.

Therefore, option B is the only correct answer.

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.