The lengths of two sides of a triangle are shown below:

side 1: 8x^2 - 5x - 2
side 2: 7x - x^2 + 3
the perimeter of the triangle is 4x^3 - 3x^2 + 2x - 6

answer the following questions:
part a: what is the total length of the two sides, 1 and 2, of the triangle?
part b: what is the length of the third side of the triangle?
part c: do the answers for part a and part b show that the polynomials are closed under addition and subtraction? justify your answer.

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Type the correct answer in the box. consider the system of linear equations below. rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?