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
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80 * 70 percent = cookies sold
80 * .7 = cookies sold
56 = cookies sold
Answer:
30
Step-by-step explanation:
Answer:
2 5/12 cups
Step-by-step explanation:
Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container
The amount of juice remaining in the measuring cup is calculated as:
3 2/3 - 1 1/4
= 3 - 1 + ( 2/3 - 1/4)
LCD = Lowest Common Denominator is 12
= 2 + (4 × 2 - 3 × 1/12)
= 2 + (8 - 3/12)
= 2 + 5/12
= 2 5/12 cups
Hence, the amount of juice remaining in the measuring cup = 2 5/12 cups of juice
