Is the ellipse represented by the equation (x-5)^2/3 (x 1)^2/5?

Yes, It is ellipse

Step-by-step explanation:

Given Equation :

The standard equation of ellipse

If we compare the given equation with standard equation of ellipse. It would be same.

Yes, the given equation represents ellipse.

The center of ellipse (5,-1)

For the given equation

Therefore, it is vertical ellipse.

Graph: Please find attachment

repeat the question

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.