No solutions- equations never intersect (parallel lines)
Explanation:
First, let's convert our second equation into slope-intercept form
y
=
m
x
+
b
Let's subtract
2
x
from both sides to get
−
y
=
−
2
x
+
2
Next, divide all terms by
−
1
to get
y
=
2
x
−
2
We see that our slope, the coefficient on the
x
term, is
2
. This equation has the same slope as the first.
It is important to realize that when two lines have the same slope, it means they are parallel. This means they never intersect.
Since they never intersect, it means this system has no solution.
Hope this helps!
Answer:
128oz
Step-by-step explanation:
Ratios!
2oz syrup:8ozmilk
which simplifies to:
1oz syrup:4milk
32oz syrup: 4(32)milk
128oz. milk
Answer:
$ 208
Step-by-step explanation:
This problem can be solved in a very simple way and the hourly earnings of each product are calculated.
That is, its sale value for the time it costs to create it:
For T-shirts: Each one is worth $ 6 but in one you can make two, therefore
$ 12 per hour.
For shorts: Each one is worth 13 and one is made per hour, therefore
$ 13 per hour
Which means that the most productive thing is to sell all shorts.
It can work 16 hours maximum, therefore it can make 16 shorts.
So:
13 * 16 = $ 208
And this would be the maximum value that can be obtained and complies with the restriction of at least 12 products but less than 24 products.
Answer:
y=-3-3x
Step-by-step explanation:
Transpose the equation for y
y=-12/4-12x/4
y=-3-3x
Answer:
- 7/8
Step-by-step explanation:
m = Δy/Δx = (10-3)/(2-10) = - 7/8
