Discussion Topic In mathematics, we often discuss modeling. In geometry, we model the physical world
with different shapes. In algebra, we model situations of change and variability with
functions.
Where else have you heard the term model? How is that meaning of the word different
from or the same as the meaning we use in algebra?

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

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)