Answer:
$519
Step-by-step explanation:
Given the amount of profit made expressed as y=-2x^2+105x-859
At maximum profit, dy/dx = 0
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Substitute into the original function
y=-2x^2+105x-859
y=-2(26.25)^2+105(26.25)-859
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519
Perpendicular line has slope that multiplies to -1
paralel line has same slope
y=mx+b
slope=-7/4
perpendicular
4/7
(-7,-2)
-2=4/7(-7)+b
-2=-4+b
add 4 both sides
2=b
y=4/7x+2
paralel
y=-7/4x+b
-2=-7/4(-7)+b
-2=49/4+b
minus 49/4 from both sides (-2=-8/4)
-57/4=b
y=-7/4x-14.25
perpendicular
y=4/7x+2
paralel
y=-7/4x-14.25
Answer:
Bet
Step-by-step explanation:
Answer:
x = -1, y = -2.
Step-by-step explanation:
Using the elimination method,
multiply the first eqn by 2 and the 2nd eqn by 5.
6x - 10y = 14
25x - 10y = -5
Subtract one of the new equations from the other
-19x = 19
x = -1
Sub x=-1 into the 2nd eqn
-5 - 2y = -1
y = -2
Hence x = -1, y = -2.
