Sarah and Michelle bought pizza and lemonade for a party. . Sarah bought 3 pizzas and 2 bottles of lemonade for $31.
• Michelle bought 2 pizzas and 4 bottles of lemonade for $30.
Which of the following systems of equations could be used to find p, the cost of one pizza, and b, the cost of a bottle of lemonade?

A. p + b = 31
p + b = 30

В. Зp + 2b = 30
2p + 4b = 31

C. 3p + 2b = 31
2p + 4b = 30

D. 5p + 6 = 61
p + b= 30 ​

What is the expression in factored form? -x^2 + 3x + 28 a. (x-7)(x-4) b. -(x-7)(x+4) c. (x+4)(x+7) d. -(x-4)(x+7)

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)