Which is a solution to (x – 3)(x + 9) = –27? x = –9 x = –3 x = 0 x = 6

x=0

Step-by-step explanation:

(x – 3)(x + 9) = –27

To get the solution we solve for x

(x – 3)(x + 9) = –27

USe FOIL method to multiply  (x – 3)(x + 9)  

x^2 +9x-3x-27

x^2 + 6x - 27

(x – 3)(x + 9) = –27

x^2 + 6x - 27=-27

Add 27 on both sides

x^2 + 6x=0

x(x+6)=0

x=0  and x+6 =0

x=0  , x=-6

So x=0 is one of the solution

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

50.6

step-by-step explanation: