Answer:
11
Step-by-step explanation:
f(12) = 2/3x+3
So, replace x with 12.
2/3(12) + 3
2/3 x 12 = 8
8 + 3 = 11
45 adult tickets were sold.
adult tickets = a
childrens tickets = b
a + b = 65
6a + 3.5b = 340
Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a
Your final answer is a = 45
the function f(x) = 4(x+3) − 5
Lets find the inverse function f^-1(x)
step 1: Replace f(x) with y
y = 4(x+3) − 5
step 2: Replace x with y and y with x
x = 4(y+3) - 5
step 3: Solve for y
x = 4(y+3) - 5
x = 4y +12 -5
x= 4y + 7 (subtract 7 on both sides)
x - 7 = 4y (divide by 4 on both sides)
Given : x = 3
We plug in 3 for x in the inverse function
= -1
the inverse function when x = 3 is -1
I hope this helps you
y+z=4-x
5x+4-x=16
4x=12
x=3
x+y+z+x-y+4z=4+27
2x+5z=31
2.3+5z=31
5z=25
z=5
x+y+z=4
3+y+5=4
y=-4
The answer would be D. y=-2x+8
