F(x) = x² + 4
y = x² + 4
First, I reverse the equation to be
x² + 4 = y
Second, we need only x to remain on the left side and we need to move the others to the right side
x² + 4 = y
x² = y - 4
x = √(y - 4)
Last, change into invers function
f⁻¹(x) = √(x - 4)
Answer:
A = number of adult tickets
S = number of student tickets
1033 = total tickets sold
A + S = 1033
5A = money collected for adult tickets
S = money collected for student tickets
2265 = total money collected
5A + S = 2265
two equations and two unknowns:
5A + S = 2265
A + S = 1033
subtract 2nd equation from 1st and solve for A:
4A = 1232
A = 308
Plug in value for A in 1st equation and solve for S:
A + S = 1033
308 + S = 1033
S = 725
Answer:
-15x+24
Step-by-step explanation:
You can write that as:
Answer:
90 and 71 or 80.5
Step-by-step explanation:
find middle two numbers
add them together
divide by 2
The <em><u>correct answer</u></em> is:
bx + 3y > 6 and y > 2x + 4
Explanation:
Looking at the second inequality, the y-intercept is 4 and the slope is 2. This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1. Since it is greater than, this means the graph is shaded above it. Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1. The graph is also shaded above the line.
For the first inequality, bx+3y > 6, we want to isolate y. To do this, we subtract bx from each side:
bx+3y-bx > 6-bx
3y > 6-bx
Divide both sides by 3:
3y/3 > 6/3 - bx/3
y > 2 - (b/3)x
This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3. The orange section does this. Additionally, since it is greater than, the graph should be shaded above the line. This one is, so this is the correct answer.
