Answer:
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
a.
x = cost of adult ticket
y = cost of student ticket
cost of adult ticket is twice the cost of a student ticket
x = 2y
number of adult tickets = 64
number of student tickets = 132
cost of all adult tickets = 64x
cost of all student tickets = 132y
cost of all adult and student tickets combined: 64x + 132y
cost of all adult and student tickets combined: 1040
This gives us the equation:
64x + 132y = 1040
b.
Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.
64(2y) + 132y = 1040
128y + 132y = 1040
260y = 1040
y = 1040/260
y = 4
x = 2y = 2(4) = 8
adult ticket: $8
student ticket: $4
Answer:a: y=4.5+0.75x
B: y=2.5+1.25x
C: 7.5
Step-by-step explanation:
Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
