1 i. At x = 0 the value of the function is zero & the slope of the line tangent to the function is
zero.
ii. At x = 4 the value of the function is 1, and the slope of the function is 1.
(a) of f(0) = ax, where a is a nonzero constant. Is it possible to find a value of a so that f meets
both requirements above? Show all work to support your answer.
(b) Let g(x) = car? - , where c is a nonzero constant. Find the value of c so that g meets both
requirements above.
(c) Let h (3) where k is a nonzero constant and n is a positive integer. Find the values of k
and n so that h meets both requirements above.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Aladder that is 20ft long is leaning against the side of a building. if the angle formed between the ladder and the ground is 75 degrees how far is the bottom of the from the base of the building?

What is the absolute value of the complex number -4- 2 v14 3.15 14 18