F(x)=5x^2 Has minimum (0,0)
g(x) = f(x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.
h(x) = g(x+4) Shifts the graph four units left, then the minimum is at 0-4 = -4.
Then h(x) = 5(x+4)^2 + 2 has the minimum (-4,2)
And p(x) = -5(x+4)^2 + 2 has the maximum (-4,2)
Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.
Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.
Using the substitution method:
x + y = 300 ⇒ y = 300 - x ⇒ Equation (3)
12x + 8y = 3280 ⇒ 12x + 8(300-x) = 3280 ⇒ x = 220
y = 300 - x ⇒ y = 300-220 ⇒ 80
Therefore 220 adult tickets and 80 children's tickets were sold.
Wow!!thats a word from the old english that made it
Answer:
d) 35ft
e) 6 seconds
f) 250°
Step-by-step explanation:
If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.
36 secs = 360°
⇒ 1 sec = 360/36 = 10°
d) After 9 seconds, it has turned:
9 x 10 = 90°
Therefore, it will be 15 + 20 = 35ft from the wall
e) 60° = 6 seconds
f) 25 seconds = 25 x 10 = 250°
