Two sisters decide to take a series of acting lessons. one decides to pay a flat rate of $75, shown as f(x). the other just wants to pay $5.00 per lesson, shown as g(x). which function shows the correct combination of these two functions to represent the amount the parent should pay, shown as h(x)? f(x) = 75, g(x) = 5x, h(x) = 5x + 75

f(x) = 75x, g(x) = 5, h(x) = 75x + 5

f(x) = 75, g(x) = 5, h(x) = 5 + 75

f(x) = 75x, g(x) = 5x, h(x) = 75x + 5x

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true