X-4y=-2
-x. -x
4y=-2-x
4y=x-(-2)
/4. /4
Y=4x+2/4
3x-y=5
-3x. -3x
-y=5-3x
-y=-3x+5
/-1. /-1
Y=3x-5
Answer:
Step-by-step explanation:
10
Answer: b. C = 5 × ($0.75 × 4)
Step-by-step explanation:
Note that 4 quarts = 1 gallon
Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:
= 5 × ($0.75 × 4)
= 5 × $3
= $15
X=5
Work:
y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
