Hello,
g(x)=x²-6x+14=x²-2*3x+9+14-9=(x-3)²+5
h=3, k=5
Answer:
The more expensive book cost $90, the other two combined cost $60.
Step-by-step explanation:
x = cost of more expensive book
y = subtotal cost of the other books
x = 50% more than y, so x = 1.50y = 1.5y
x + y = total cost = $150
1.5y + y = 150
y = 150/2.5 = 60
x = 1.5y = 1.5(60) = 90
Answer:
A.2304
B.5625
C.6776
Step-by-step explanation:
The easiest way to show you is by using calculator. If you can't, try using Khan Academy if you want.
<h3>
Answer: 69.1 cm</h3>
Work Shown:
C = 2*pi*r
C = 2*3.14*11
C = 69.08
C = 69.1
This is the approximate distance around the circle, aka the perimeter.
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
