Reyna runs a textile company that manufactures t-shirts. the profit, p, made by the company is modeled by the function p=s2+9s-142, where s is the number of t-shirts sold. how many t-shirts should be sold to earn a profit of more than $2,000?
s < 42
s > 42
s > 51
s < 51

The profit, p, made by the company is modeled by the function

→→ p=s²+9 s-142, where s is the number of T-shirts sold.

We want profit on T shirt sold should be more than $ 2,000.So,the profit equation can be written as,

⇒s²+9 s-142>2000

→We will neglect, s+51> or <0,because number of T-shirts sold can't be negative.

Or,→→there is second way, mark points, 42 and -51 on the number line, and substitute , number greater than 42 on the profit Inequality,which is s²+9 s-2142>0, which gives ,s>42.

Option B: s >42

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)

9987

step-by-step explanation: