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
<span>The word problem gives a rate of oil consumption at a rate of 25 gallons per 3 hours and 45 minutes. 3 hours and 45 minutes can be displayed as 3.75 hours. so you can say the generator consumes oil at a rate of 25 gallons per 3.75 hours. The following equation give you the oil consumption on a per hour basis; 25/3.75 and that gives you 6.67 gallons per hour. In 6 hours the generator will consume 40 gallons.</span>
Answer:
Total number of people in the stadium = 520
Step-by-step explanation:
Let the total number of people in the stadium = x
Since, 25% of the fans are teenagers, number of teenagers in the stadium
= 25% of x
=
= 0,25x
If the number of teenagers in the stadium = 130
0.25x = 130
x =
x = 520
Therefore, total number of fans in the stadium = 520.
Answer: Choice B) -4
The lower quartile, also known as Q1 or the first quartile, is the left edge of the box. In this case, that is at -4. We can drop a vertical line from the left edge of the box until we hit -4 on the number line.
Side Note: 25% of the data values are below Q1, while 75% of the data values are above Q1
Answer:
answer: 560
Step-by-step explanation:
Multiply 5 by 112 so 112 × 5 = 560 So 112 is 20% of 560