Darren williams receives a monthly income of $600 from a pension and some from social security. his wife, laura, also receives a monthly income from social security, but only 70 percent of darren's amount. if their monthly income is $1,800 per month, how much is darren's monthly social security benefit?

  $705.88

Step-by-step explanation:

Let d represent Darren's monthly income from Social Security. Then 0.7d is the amount his wife receives. Their total monthly income is ...

  600 + d + 0.7d = 1800

  1.7d = 1200 . . . . . . . . . . . subtract 600, collect terms

  d = 1200/1.7 = 705.88

Darren's monthly Social Security benefit is $705.88.

14

Step-by-step explanation:

k

=

c

−

b

2

4

a

We know that

a

=

1

,

b

=

−

8

and

c

=

2

, so let's substitute:

k

=

2

−

(

−

8

)

2

4

(

1

)

=

2

−

64

4

=

2

−

16

=

−

14

.

So, we have

min

=

−

14

. Let's check:

graph{(x^2 - 8x + 2 - y)(-14 -y)=0 [-11.82, 20.22, -15.38, 0.64]}