The coefficients in the expansion of (x + y) are

1,6 ,15,20,15,6,1

Step-by-step explanation:

The trick here is that the expansion are the

numbers in pascal triangle

1

1,1

1,2,1

1,3,3,1

1,4,6,41,

1,5 ,10, 10, 5, 1

1,6 ,15,20,15,6,1

1, 6, 15, 20,15, 6, 1,

Step-by-step explanation:

The Coefficients ; (x + y)^6

The coefficients can be obtained as follows :

6C0 ; 6C1 ; 6C2 ; 6C3 ; 6C4 ; 6C25 ; 6C26

nCr = n! ÷ (n-r)! r!

Using calculator to get the direct values :

We have :

1, 6, 15, 20,15, 6, 1,

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

according to egenuity the answer is

step-by-step explanation:

d. 344.22