Which of the following is a factor of 6x2 + 17x + 12? 3x + 4 2x + 4 3x + 3 none of the above

option A, (3x + 4)

Step-by-step explanation:

We have to find the factors of 6x² + 17x + 12

To factorize the expression we will multiply the coefficients of x² and constant term 12 first.

6 × 12 = 72

We have to assume two numbers which on addition give 17 and on multiplication give 72.

Now we get the numbers as 9 and 8.

6x² + 17x + 12 = 6x² + 9x + 8x + 12

                      = 3x ( 2x + 3 ) + 4(2x + 3)

                     = ( 3x + 4 ) (2x + 3 )

Therefore, option A, (3x + 4) will be the answer.

7

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.