You have gone out to eat with a couple of friends. One is your date, and the other is your good friend Bill. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and your date, while Bill will pay for 1/3 of(*) the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out. 1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Bill’s part). Show all of your work.

2. How much did Bill pay for his part of the meal? Again, show all of your work.

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

The parabola opens: y=√x-4 (principal square root) up down right left

4. bob solved the inequality problem below incorrectly. explain his error and redo the problem showing the correct answer. −2x + 5 < 17 −2x + 5-5 < 17-5 -2x/-2 < 12/-2 x < -6