A small tool manufacturer produces a standard and cordless model power drill. The standard model takes 2 hours of labor to assemble and the cordless model 3 hours. There are 72 hours of labor available per week for the drills. Material costs for the standard drill are $10, and for the cordless drill they are $20. To maximize profits, the company wished to limit material costs to $420 each week. How many of the cordless drills should be produced to use all of the available resources? Let y = cordless drills

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

correct answer is b. 27/8

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form