It has a minimum value at x = 3 and f(x) = 4
Vertex form is
f(x) = a(x - 3)^2 + 4 where a is some constant to be found
From the graph when x = 5 f(x) = 15, so
15 = a * 2^2 + 4
a = 15-4/4 = 11/4
so our equation is f(x) = 11/4(x - 3)^2 + 4
Catherine has 12.
2 times 3 is 6. 6 times 2 is 12. Final answer is 12.
Subtract 3n and then divide by 4 and you get n= 4
Step-by-step explanation:
First, we need to find the unit rate for both. We do this by dividing the price they paid by the number of tickets they got.
47 / 3 = $15.66, which is the unit rate for Diego.
141 / 9 = $15.66, which is the unit rate for Andre.
They did pay at the same rate.
Now do the same thing buy with their gas.
15.12 / 8 = 1.89, which is the rate for Diego.
9.95 / 5 = 1.99, which is the rate for Andre.
They did not pay the same rate, Andre paid more by 10 cents per gallon.