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
total of ages now is 67 + 4 + 4 = 75
S=shelly
M= Michelle
Michelle is 3 yrs younger than Shelly so use S-3
S +M = 75
replace M with S-3 to get:
S +S-3=75
2S=78
s=39
So shelly is 39
Michelle is 3 years younger = 39-3 = 36
Answer:
12 A boat sails 50 km on the bearing 054º. How far is the ship north of its starting point? 13.
Step-by-step explanation:
hope this helped!
I cant really show you how to graph this but i can try to explain it. you would make a 4 quadrant graph and do rise over run.
1)start by making the graph
2) on the line of the graph marked Y is where you would put -4
3) From -4, you would go up (rise) by 2 and go over to the right 1 where you end is the slop
By just changing the x and numbers you can solve it:
-4x=-8 => x=2
