Solve the quadratic equation by factoring. Show your work and explain the steps you used to solve. 6x2 + 11x + 3 = 0

6 x 2 = 8 + 11 = 19 x 3 = 57

Step-by-step explanation:

x= -3/2, = -1/3

Step-by-step explanation:

6x^2 + 11x + 3 = 0

multiply the 6 and 3 :

6x^2 + 11x + 3 = 0

you get 18.

now find 2 numbers that add to 11 (the middle term)  and also multiply to 18.

these 2 numbers are 9 and 2:

so now break up 11x into 9x + 2x

6x^2 + 2x + 9x + 3 = 0

factor :

2x(3x+1) + 3(3x + 1) --->    (2x+3)(3x+1)

now find the zeros :

x= -3/2 and x= -1/3

equal to

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.