Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
![x+y+8\geq16](https://tex.z-dn.net/?f=x%2By%2B8%5Cgeq16)
Okay! 4/16= 0.25 because 16/16 = 1 and so that means 12/16 = 0.75 and 8/16 = 0.50 and 4/16 = 0.25 Hope this helped!
Answer:
This linear system has one solution.
Step-by-step explanation:
First equation: y = x + 2
Second equation: 6x - 4y = -10
Let's change the second equation in slope-intercept form y = mx + b.
<u>Slope-intercept form</u>
y = mx + b
m ... slope
b ... y-intercept
![6x - 4y = -10](https://tex.z-dn.net/?f=6x%20-%204y%20%3D%20-10)
![6x + 10 = 4y](https://tex.z-dn.net/?f=6x%20%2B%2010%20%3D%204y)
![\frac{6}{4}x + \frac{10}{4} = y](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7Dx%20%2B%20%5Cfrac%7B10%7D%7B4%7D%20%3D%20y)
![\frac{3}{2}x + \frac{5}{2} = y](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dx%20%2B%20%5Cfrac%7B5%7D%7B2%7D%20%3D%20y)
If two lines have the <em>same slope </em>but <em>different y-intercept</em>, they are parallel - <u>system has no solutions</u>.
If two lines have the <em>same slope</em> and the <em>same y-intercept</em>, they are the same line and are intersecting in infinite many points - <u>system has infinite many solutions</u>.
If two lines have <em>different slopes</em> then they intersect in one point - <u>system has one solution</u>.
We see that lines have different slopes. First line has slope 1 and the other line has slope
. So the system has one solution.
You can also check this by solving the system.
Substitute y in second equation with y from first.
6x - 4y = -10
6x - 4(x + 2) = -10
Solve for x.
6x - 4x - 8 = -10
2x = -2
x = -1
y = x + 2
y = -1 + 2
y = 1
The lines intersect in point (-1, 1). <-- one solution
The population of the Bulbul birds at the start of the migration season is 1800.
<h3>
Exponential function</h3>
An exponential function is given by:
y = abˣ
Let y, x are variables, a is the initial value and b is the multiplication factor.
Let P be the population of the bird t days since the start of the migration season.
![P=1350+400(1.25)^{-t}\\\\At\ the\ start\ of\ the\ season(t=0):\\\\P=1350+400(1.25)^{-0}\\\\P=1350+450=1800](https://tex.z-dn.net/?f=P%3D1350%2B400%281.25%29%5E%7B-t%7D%5C%5C%5C%5CAt%5C%20the%5C%20start%5C%20of%5C%20the%5C%20season%28t%3D0%29%3A%5C%5C%5C%5CP%3D1350%2B400%281.25%29%5E%7B-0%7D%5C%5C%5C%5CP%3D1350%2B450%3D1800)
The population of the Bulbul birds at the start of the migration season is 1800.
Find out more on Exponential function at: brainly.com/question/12940982