How do you factor 12y^2-6y-90

Step-by-step explanation:

First, factor out the common term of 6:

To factor :

Multiply the coefficient of by the constant:

Now find factors of -30 that sum to the coefficient of , i.e. -1

Factors of 30:  1, 2, 3, 5, 6, 10, 15, 30

So factors of -30 that sum of -1 are:  -6 and 5

Rewrite the middle term of as :

Factor each pair of terms:

Factor out the constant term:

Therefore, the final factorization is:

The solution is in the following image

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image 

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581