Factor the given polynomial.
3x² + 5x - 12

= ( x + 3 ) ( 3 x − 4 )

Step-by-step explanation:

Use a version of the AC Method.

A = 3 ,  B =5 ,  C = 12

Since the sign on the constant term is  − , look for a pair of factors of  A C = 36  whose difference is  B = 5

The pair  4 ,  9  works.

Now use that pair to split the middle term, then factor by grouping:

3 x 2 + 5 x − 12  = 3 x

− 4 x + 9 x − 12 = ( 3 x 2 − 4 x ) + ( 9 x − 12 )  = x                                                                              ( 3 x − 4 ) + 3 ( 3 x − 4 )

43

step-by-step explanation:

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2