Max's t-shirt business uses the demand function p = -q + 34 and the supply function p = q - 10. according to these functions, what will the equilibrium point be for max's t-shirt business (i. e., the number of t-shirts sold and the price at which they're sold)?

Equilibrium is when demand and supply are equal so, equate both the functions then,

-Q + 34 = Q - 10

2*Q = 44

Q = 22 Substitute Q in either of the equations.

P = Q - 10 => P = 22 - 10

So, P = 12 and Q = 22.

Hope it helps.

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)