Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) = 0. 7p, where p is the original price of the bike. He also knows he has to pay 12% sales tax on the bike. The price of the bike with tax is f(c) = 1. 12c, where c is the sale price of the bike. Determine the function that can be used to calculate the final price of Leo's bike. C[f(c)] = 0. 784c f[c(p)] = 1. 82p c[f(c)] = 1. 82c f[c(p)] = 0. 784p.

f[c(p)] = 0.784p

Step-by-step explanation:

sales discount = 30%

sales tax = 12%

c(p) = 0.7p where p is the original price

f(c) = 1.12c where c is the sales price of the bike.

f[c(p)] = 1.12(0.7p)

f[c(p)] = 0.784p    Last option.

Assume: p = 100

c(100) = 0.7(100) = 70

f(70) = 1.12(70) = 78.4

f[70(100)] = 0.784(100) = 78.4

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral