Take x-2 and insert it into 2x^2 + 3x-2 where the x is located
2x^2 + 3x-2
2(x-2)^2 + 3(x-2)-2
Now work out 2(x-2)^2 + 3(x-2)-2 also follow PEMDAS
2(x-2)^2 + 3(x-2)-2
Since (x-2)^2 is an Exponent, lets work with that first and expand (x-2)^2.
(x-2)^2
(x -2)(x-2)
x^2 -4x + 4
Now Multiply that by 2 because we have that in 2(x-2)^2
(x-2)^2 = x^2 -4x + 4
2(x-2)^2 = 2(x^2 -4x + 4)
2(x^2 -4x + 4) = 2x^2 - 8x + 8
2x^2 - 8x + 8
Now that 2(x-2)^2 is done lets move on to 3(x-2).
Use the distributive property and distribute the 3
3(x-2) = 3x - 6
All that is left is the -2
Now lets put it all together
2(x-2)^2 + 3(x-2)-2
2x^2 - 8x + 8 + 3x - 6 - 2
Now combine all our like terms
2x^2 - 8x + 8 + 3x - 6 - 2
Combine: 2x^2 = 2x^2
Combine: -8x + 3x = -5x
Combine: 8 - 6 - 2 = 0
So all we have left is
2x^2 - 5x
Answer:
x y
-2 5
-1 . 1
3 . 1
-1 -2
Step-by-step explanation:
in 1 just put in
x y
-2 5
-1 . 1
3 . 1
-1 -2
Answer:
(6,-2.5)
Step-by-step explanation:
The formula for the midpoint between two points is:

Now we substitute
We have than (9, -1) is
and (3, - 4) is 
So:

So, we have:

<h2>(6,-2.5)</h2><h2 />
I can do a graphic explanation if you want.
Answer:
568
Step-by-step explanation:
because we multiply the 64 with the number that will be in the number
Answer:
D
Step-by-step explanation:
Let the total production order be X. The combined rate is thus x/36 orders per hour.
Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.
Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.
The new total rate thus becomes x/108 + x/36 = 4x/108
Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours