Question

the first image is the question the second is the answer, and i need the in between of how the heck do i do this. the final is tmrw please help!

Answer 1

Explanation:

sir in the graph every point is (X,Y) so you should choose consecutive random numbers for the X values for the first point after that put the values you choose In the equations so now you have just numbers in the equation .. add, subtract and multiply at the end you will get a value .. ok this Y for the first point .. mark this point on the graph and continued this process until it reached at least 3 points, and connected between them.

Note : do this with each equation separately and do not connecte between two points for two different equations

the equation with x will become as line

the equation with x² will become as arch

after you finsh drwaing see the points that the tow equation are touching within and write them. Usually it is two points

Answer 2

Explanation:

First, set the equations as equal to eachother because both equal y:

`x^2-6x-7=x+1`

Now, solve to get everything on one side of the equation so that the other side of the equation is set to 0:

`x^2-7x-8=0`

Now use the sum product pattern:

`x^2+x-8x-8`

(as you can see, the above equation is equivalent to the previous equation, but there are now four values instead of three)

Now take the common factor from the two pairs:

`x(x+1)-8(x+1)`

Rewrite in factored form:

`(x-8)(x+1)`

Now to get both values of x, set each factored equation to 0 and solve for x (becuase remember, the equation still equals 0):

`(x-8)=0\\x=8`

`(x+1)=0\\x=-1`

NOW that we have both values of x, we can subsitute them into EITHER equation and solve to get the corresponding y values:

`y=(8)+1\\y=9`

`y=(-1)+1\\y=0`

So that's how we solve to get these coordinates: (8,9) & (-1,0).

Good luck on your final and I hope I was able to help :)