Answer:
(-9,-1)
Step-by-step explanation:
You plug in the x and y values and solve the algebraic expression. 
 
        
             
        
        
        
Answer:
To obtain equivalent amount from both foods we can eat 10 ounces of Food I and 5 Ounces of food II
To obtain minimum cholesterol, the individual should eat only 21 ounces of food II and zero ounce of food for the daily supplement of the individual
Step-by-step explanation:
Food I contains 32×C + 10×E per ounce
Food II contains 20×C + 14×E  
Here we have X × (Food I) + Y × (Food II) = 420 C + 170 E
32·X + 20·Y = 420 C
10·X + 14·Y = 170 E
Therefore 
X = 10 and Y = 5
To minimize the cholesterol, we can increase amount of Food II to get 
21 ounces of food II gives
420 units of vitamin E and 294 units of vitamin E with 273 units of cholesterol.
  
                       
 
        
             
        
        
        
Answer:
Rate of change for the linear relationship modeled is 
Step-by-step explanation:
As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.
We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

Putting the points as (-1, 10) and (1, 9), we get



Rate of change is the slope of the line joining all these points.
 
        
                    
             
        
        
        
A(R+T)=W
(A×R)+(A×T)=W
AR+AT=W
-AR from both sides
AT=W-AR
divide both sides by A
T=(W-AR)/A
        
             
        
        
        
According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
<h3>What is the equation of the circle?</h3>
The equation of a circle of center  and radius r is given by:
 and radius r is given by:

In this problem, we have that the center is at point (0,2), hence:

It goes through point (3,3), hence:


Hence, the equation is:

<h3>What is the equation of the tangent line at point W?</h3>
It is given by:

Applying implicit differentiation, we have that:


Point W(3,3), hence:


Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
More can be learned about the equation of a tangent line at brainly.com/question/8174665