Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2

x = -4      x=-1

Step-by-step explanation:

10x + 6 = -2x^2 -2

Add 2x^2 to each side

+2x^2 +10x + 6 =2x^2 -2x^2 -2

2x^2 +10x + 6 =  -2

Add 2 to each side

2x^2 +10x + 6+2 =  -2+2

2x^2 +10x + 8 = 0

Divide each side by 2

2/2x^2 +10/2x + 8/2 = 0/2

x^2 +5x+4 = 0

What 2 numbers multiply to 4 and add to 5

4*1 = 4

4+1 =5

(x+4) (x+1) = 0

Using the zero product property

x+4 = 0     x+1 =0

x+4-4 = 0-4       x+1-1 =0-1

x = -4      x=-1

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720