The quadratic equation is f(x)=1/2x^2 -5
in order to find f(4) you simply insert 4 in place of C
f(4)= 1/2(4^2)-5
f(4)= 1/2 (16) -5
f(4)= 8-5
f(4)= 3
by double checking the graph you can verify the answer
The car is driving at 75 mph and the motorcycle at 65 mph
Answer:
Step-by-step explanation:
Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.
When x = 4, y = 800
This means that the income from gate takings at this rate is 4 × 800 = $3200
For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)
For the amount to be $3500, it means that
(x + 1)(800 - 100) = 3500
700(x + 1) = 3500
x + 1 = 3500/700 = 5
Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.
A number that can add up to 10 and multiplies to 11 is 1 since 11 is a prime number