Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
Answer:
i think it's -1 / -1
nut i'm not sure so if its wrong then sorry , and don't thank's me...
Since both values are positive, it is in quadrant 1
Preliminary Problem
Givens
Miles = m = 392 miles
Gallons = G = 14 gallons
Miles per gallon = mpg
Formula
miles = miles per gallon * number of gallons.
Solve
392 = mpg * 14 Divide by 14
392 / 14 = mpg
28 = mpg which is really quite good. Our vehicle gets 44 mpg but it's a 4 cylinder. It's meant to get that kind of milage.
Part A
Let x = the number of gallons used
Let y = the number of miles driven
y = k*x
Part B
y = k* x
k =28 mpg
11700 = 28*x
11700 /28 = x
x = 417.86
If this is incorrect please put some more facts in. The question does not seem complete.
Hmm, it looks like it could be commutative property of multiplication.
The order of the expression is different.
4(2+3)=
4(5)=20
(2+3)4=
(5)4= 20
