To find the perfect square needed, you take the "middle" value and half it, then square it. so in this case, take -6, half it into 3, and square it to get 9. you'll be adding 9 to both sides
Number of tickets: T.
Number of customers: c
Initially the number of tickets is T0=150, when the group hasn't sold any tickets (c=0). Then the graph must begin with c=0 and T=150. Point=(0,150). Possible options: Graph above to the right and graph below to the left.
They sell the tickets in pack of three tickets per customer c, then each time they sell a pack of three tickets to a customer, the number of tickets is reduced by 3 (-3c). Then the number of tickets, T, the group has left after selling tickets to c customers is:
T=150-3c→T=-3c+150
For T=0→-3c+150=0→150=3c→150/3=c→c=50. The graph must finish with c=50, T=0. Final point=(c,T)=(50,0)
Answer:
The correct graph is above to the right, beginning on vertical axis with T=150 and finishing on horizontal axis with c=50.
The correct equation is T=-3c+150
Answer:
Demand quantity: 6.3246
Supply quantity: 4.4721
Step-by-step explanation:
Supply equation:
p = (1/2) * q^2
Demand equation:
p = -(1/2) * q^2 + 30
(p is the price, q is the quantity)
If the price p is equal to 10, then we can calculate:
Supply quantity:
10 = 0.5 * q^2
q^2 = 20
q = 4.4721
Demand quantity:
10 = -0.5 * q^2 + 30
0.5 * q^2 = 20
q^2 = 40
q = 6.3246
Answer:
20%
Step-by-step explanation:
The percentage change can be found from ...
% change = ((new value)/(reference value) -1) × 100%
= (240/200 -1) × 100%
= 0.20 × 100%
= 20%
240 is an increase of 20% from 200.