Write the quadratic equation whose roots are -3 and -6, and whose leading coefficient is 3

Step-by-step explanation:

A quadratic equation is given by:

The leading co-efficient is .

Given . Therefore the quadratic equation becomes:

. We are to find .

Given the solutions of this equation are: and .

Substituting this in the equation we get:

Solving and we get

. Substituting in we get

. Thus the equation becomes:

2

step-by-step explanation:

vvvvv

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)