Answer:
- C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
<u>System of equations: </u>
The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
<u>Line1 </u>
- 5x - 6y = 4
- 6y = 5x - 4
- y = 5/6x - 4/6
<u>Line </u>2
- 3y + 2x = 7
- 3y = -2x + 7
- y = -2/3x + 7/3
As we see lines have different slopes so they are different and they intersect once
This system has one solution
Answer:
Not a function because there are two values of y for x = -8.
Answer:
the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Step-by-step explanation:
the total cost of making the muffins is
Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q
where Q = number of muffins
the average cost is
Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q = $300/Q + $0.12 / muffin
then for Average cost= $0.25/muffin
$300/Q + $0.12 / muffin = $0.25/muffin
Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)
then the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Its cross-multiplication. 20.25 times 1 divided by 3 3/4 = 5.4 -(answer)
