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:

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The solution is given in the image below

The answer is in the image 

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

The answer is in the image