Steps to solve:
9|9 - 8x| = 2x + 3
~Divide 9 to both sides
|9 - 8x| = 2/9x + 1/3
~Solve absolute value (part one)
|9 - 8x| = 2/9x + 1/3
-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)
-74/9x = -26/3 (Subtracted 9 to both sides)
x = 39/37 (Multiplied 37/39 to both sides)
~Solve absolute value (part two)
|9 - 8x| = -(2/9x + 1/3)
|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)
-70/9x + 9 = 11/3 (Added 2/9x to both sides)
-70/9x = -28/3 (Subtracted 9 to both sides)
x = 6/5 (Multiplied 9/-70 to both sides)
Therefore, the solutions are x = 39/37 and x = 6/5
Best of Luck!
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
The range is {0, 2, 6, 7}.
Range is all the y-values.
Juan have to print 9 photos.
<u><em>Explanation</em></u>
Suppose, Juan have to print 
number of photos.
First photo shop charges $0.36 per print. So, the total cost to print number of photos in this shop 
dollar.
Second photo shop charges $2.52 plus $0.08 per print. So, the total cost for printing number of photos 
As, the cost of printing is the same at both shops, so.....
So, Juan have to print 9 photos.
Answer:
a. 0.9
b. y=0.9x, where y is the cost and x is the amount of songs.
c. She should use the package price from the online music vendor (the first option)
Step-by-step explanation:
a.
The constant of proportionality is k in y=kx. Take a point form the graph ( lets say (5,4.5) ) and sub it in:
y=kx
4.5=5k
k=0.9
b.
The equation of a line is y=kx when it passes though the origin (which this one does). We know the value of k, so our equation is y=0.9x, where y is the cost and x is the amount of songs.
c.
Susan downloads 60 songs monthly. We're being asked if it would be cheaper to use the service where you play $58 total, or $0.90 per song. So for the package price, let's figure out the total cost (y) for 60 songs (x=60):
y=0.9x
y=0.9(60)=$54
So it would be cheaper to use the package price from the online music vendor.
