Identify the value for C in the following equation that would make the conic section a parabola: 2x2 + Cy2 + 3x + 5y + 1 = 0

Given:

The conic equation is:

To find:

The value of C such that the given conic equation make a parabola.

Solution:

The general for of conic equation is:

This equation represents a parabola is either A=0 or C=0 but not both equal to zero.

The given equation is:

Here, coefficient of is A=2 and coefficient of [tec]y^2[/tex] is C.

Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.

Therefore, the only value of C is 0.

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.

may i see the picture? it would a lot, xox