Given that <span>Jan
has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French
vanilla cocoa mix and that she wants to put the same amount of mix into each
jar.
Given that she only wants one flavor mix in each jar and that she wants to fill as
many jars as possible.
This question depicts a HCF (highest common factor) question where the maximum amount of jars of each flavor she can fill represent the multiple of the HCF of 35 and 45.
35 = 5 x 7
45 = 5 x 9
Thus the HCF of 35 and 45 is 5.
Therefore, the number of jars of French vanilla cocoa mix Jan will fill is 9.</span>
First of all, you need to know what a 'solution' is, so you'll know it
when you see it.
A 'solution' to an equation is a number, or a set of numbers, that
you can write in place of the variables (the letters), and when you
do that, the equation will have only numbers in it, and it'll be a true
statement.
Your equation has two variables in it ... 'x' and 'y' . In order to find
just a single set of numbers for what both of them must be, you
would need two equations.
The way it stands now, with only one equation, there are actually
an infinite number of solutions. Each solution is a pair of numbers ...
one for 'x' and one for 'y' ... and if you write them into the equation
in place of 'x' and 'y', then the equation is a true statement.
I'll show you how to tell if a pair of numbers is a solution or not.
Here's what that looks like:
Say I give you two pairs of numbers, and I tell you that both of them
are solutions to your equation. The 'solutions' I give you are
x=0
y=1
and
x=2
y=3 .
You don't trust me, and you say to me "Wait just a minute there, dude !
Not so fast. I'll need to check them out and see if those are really solutions
to my equation."
You take the first pair and write it into your equation:
x=1, y=0
9x - 7y = -7
9(0) - 7(1) = -7
0 - 7 = -7
-7 = -7
OK. That's a true statement.
So x=0, y=1 is a solution.
Now check the other one I gave you:
x=2, y=3
9x - 7y = -7
9(2) - 7(3) = -7
18 - 21 = -7
-3 = -7
This is NOT a true statement.
So x=2, y=3 is NOT a solution to your equation.
I pulled a fast one on you. If I was charging you money for solutions,
then you would not pay me for this one, because it's not a solution.
A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.
The given function is:
The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)
This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million
The coordinates of vertex B' is 
.
<h3>
How to calculate the coordinate of point by reflection</h3>
A point if reflected across the line 
by means of the following formula:
![P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20P%28x%2Cy%29%2B2%5Ccdot%20%5B%28x_%7BP%7D%2C%20-2%29-P%28x%2Cy%29%5D)
(1)
Where:
- Original point
- x-Coordinate of point P
- Resulting point
If we know that 
and 
, then the coordinates of the vertex is:
![P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%28-2%2C%204%29%20%2B%202%5Ccdot%20%5B%28-2%2C-2%29-%28-2%2C4%29%5D)
The coordinates of vertex B' is . 
To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272
