Provide an appropriate response.Why is e used as a base for exponential and logarithmic functions?

What will be an ideal response?


Answers may vary. One possibility: e is a fundamental number in our universe and is thus known as a universal constant. Logarithmic functions (and their inverses, exponential functions) with base e are a good model for situations in biology and the social sciences, especially those that involve growth or decay.

Mathematics

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Divide, if possible. If a quotient is undefined, state so.

A. 0 B. Undefined C. 1 D. 12

Mathematics

Use the discriminant to determine the number of real solutions.5y2 = 8y - 7

A. One real solution B. Two real solutions C. No real solutions

Mathematics

Collect like terms.-9b + 4a + 4c + 2b + 7a

A. -3a - 7b + 4c B. 11a - 7b + 4c C. -7a + 11b + 4c D. 11a - 7b

Mathematics

Evaluate at the value of

a.  –0.5 b.  0.5 c.  –2 d.  2

Mathematics