(3x - 1)(ax + b) = 12x² - 19x + c
Work out the values of a, b and c.

a = 4, b = - 5, c = 5

Step-by-step explanation:

Expand the product of factors on the left side and compare like terms on both sides.

(3x - 1)(ax + b) ← expand using FOIL

= 3ax² + 3bx - ax - b

= 3ax² + (3b - a)x - b

Equating coefficients of like terms with 12x² - 19x + c , then

3a = 12 ( divide both sides by 3 )

a = 4

3b - a = - 19

3b - 4 = - 19 ( add 4 to both sides )

3b = - 15 ( divide both sides by 3 )

b = - 5

c = - b = - ( - 5) = 5

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.