Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.

What is the value of x?

5
10
20
25

Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. the expression 1,500(1+0.35)h finds the number of amoebas after h hours. which statement about this expression is true? a. it is the initial population raised to the growth factor after h hours. b. it is the sum of the initial population and the percent increase. c. it is the sum of the initial population and the growth factor after h hours. d. it is the product of the initial population and the growth factor after h hours.

The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?