Help with these two problems please: An isosceles triangle has two sides of length n where n is an integer greater than 1. What is the smallest possible integer length of the third side?

A. 0

B. n−1

C. 1

D. ⌊n2⌋+1

An isosceles triangle has two sides of length n where n is an integer greater than 1. Describe the largest possible integer length of the third side for this triangle.

A. The largest possible integer value of the third side is 2n−1 because the sum of the two side lengths is 2n and the third side must be less than the sum.

B. The largest possible integer value of the third side is 2n because the sum of the lengths of the two sides is 2n.

C. The largest possible integer value of the third side is n+1 because the sum of the lengths of the two sides is n+1.

D. The largest possible integer value of the third side is n2−1 because the sum of the two side lengths is n2.

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.

How can constraints be used to model a real-world situation?

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.