For what value of x is the value of the function y= 2x−1/x+6 equal to 5; –3; 0; 2 ?

For y = 5; –3; 0; 2 ⇒ x = -31/3 ; -17/5 ; 1/2 ; ∅

Step-by-step explanation:

Given:

It is required to find the values of x which make y = 5; –3; 0; 2

A) y = 5

∴ 5 (x+6) = 2x- 1

5x + 30 = 2x - 1

5x - 2x = -1 - 30

3x = -31 ⇒ x = -31/3

B) y = -3

-3(x+6) = 2x-1

-3x - 18 = 2x - 1

-5x = 17  ⇒ x = -17/5

C) y = 0

2x - 1 = 0

2x = 1 ⇒ x = 1/2

D) y = 2

∴ 2 (x+6) = 2x- 1

2x + 12 = 2x - 1

∴ 12 = -1 ⇒ no solution ⇒ ∅

Which mean there is no value of x to make y = 2

Because the domain of the given function = R - {-6}

And the range will be R - {2}

So for y = 5; –3; 0; 2 ⇒ x = -31/3 ; -17/5 ; 1/2 ; ∅

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.