Alex determined that his average speed when he commuted to work is 35 miles per hour. What conversion factor can be used to convert this speed to feet per hour? StartFraction 1 mile Over 5,280 feet EndFraction
StartFraction 1 hour Over 5,280 feet EndFraction
StartFraction 5,280 feet Over 1 mile EndFraction
StartFraction 5,280 feet Over 1 hour EndFraction

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.

-5/3

step-by-step explanation:

when a line is perpendicular to another line, it's slope is the negative reciprocal of the original line. the slope of the line given is 3/5 so the slope of the line perpendicular to this one is -5/3 : )