Hi!
The fully factored form of this equation is (3x+2)²
Part 1:
Fixed Cost, f = $20
number of balls = n
Cost of each ball, c = 4.32
Price of each ball, p = 8.32
Equation for total cost:
Total Cost of balls will come by adding the cost of all balls and the fixed cost
Total Cost = number of balls made × Cost of each ball + fixed cost
<em>C = 4.32n + 20</em>
Equation for revenue:
Revenue = Number of balls made × price of each ball
<em>R = 8.32n </em>
Part 2:
Use the graphing method to determine how many balls must be sold to break even
Breakeven means Revenue = total Cost
This happens at a point (5,41.6) where n = 5 is the number of balls sold
and C = 41.6 is the total cost
When 5 balls are sold there will be breakeven
R = 4n - 20
C = 4.32n + 20
Red line represent Cost
Black line represent Revenue
You need LCD or the least common denominator. For 4 over 8 and 2 over 8 have the same denominators except for 2 over 4. You need to ask yourself what times 4 equals to 8? 4 times 2 equals to 8, so multiply 4x2 for the denominator and for the numerator multiply 2x2. Whatever you do to the denominator you have to do the same thing to the numerator. You multiplied 4x2 for the denominator and 2x2 for the numerator and now your fraction is 4 over 8. Now add 4 over 8+ 4 over 8 which is 8 over 8 or 1. Now add 1+ 2 over 8 which is 1 2/8. If you simplify 1 2/8 it will become 1 1/4.
Hope that helped:D
What’s up!
I can probably help
If not I’m so sorry
I’m also struggling
First task:
To determine this we need to make difference between system that doesn't have solution and system that has infinite number of solution. If when solving equations we get 0 = 0 that means system has infinite number of equations.
If we get 0 = some number that means that system doesn't have solution.
Multiplying first equation of second system by 2 and adding it to second equation we get 0=0 which means that this system has infinite number of solutions.
Answer is second system
Second task:
For this we need to set a system of equations and solve it. System looks like this:
x + y = 224
x*12 + y*8=2520
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x represents older than 18 and "y" 18 and younger than that.
first equation we multiply with -12 and sum it with second.
-4y = -168
y=168/4 = 42
Answer is 42.
