Answer:
2x² - x - 10
Step-by-step explanation:
Given
(2x - 5)(x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(x + 2) - 5(x + 2) ← distribute both parenthesis
= 2x² + 4x - 5x - 10 ← collect like terms
= 2x² - x - 10
Answer:
For the boys box, the answer is 8.
For the Girls top box the answer is 18.
Step-by-step explanation:
81/ 72=1.125
9/ 8=1.125
18/16=1.125
Hope this helps! :)
Answer:
Mean = 15.5
Median = 14
Mode = 12
Range = 12
Step-by-step explanation:
The mean is the sum of all the values divided by the number of values.
So mean = S/N.
There are 9 values, so N = 9.
These values are 18,12,14,12,16, 24,18,12,14. So S = 18+12+14+12+16+24+18+12+14 = 140
Mean = 140/9 = 15.5
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For the median, the first step is to sort all the elements in a crescent way.
So 12 12 12 14 14 16 18 18 24
Then you will need to consider whether N is even or odd.
If N is even, to find the median you need to sum the values at the positions N/2 and (N/2)+1 and divide by 2.
In this case, N is odd. So the median will be the value at the position (N+1)/2, which is 14.
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The mode is the value that appears most often in a set. In this set, 12 appears 3 times, 14 and 18 appears twice and while 12 and 13 appear once each. So the mode is 12.
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The range of a set is:
Highest value - Smallest Value
In this set: range = 24-12 = 12
Well, let's first solve each equation:
1.) -4x + 6 - 3x = 12 - 2x - 3x
To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):
-7x + 6 = 12 - 5x
Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:
-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12
Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:
-2x + 6 = 12
-6 -6
____________
-2x = 6
Finally, divide by -2 on each side, to find out what the value of 'x' is:
-2x = 6
÷-2 ÷-2
________
x = -3
So, the answer is not 'A.'
_________________________________________
Now, we test out the rest of the equations, the exact same way:
2.) 4x + 6 + 3x = 12 + 2x + 3x
Combine your like-terms, on each side of the equal sign:
7x + 6 = 12 + 5x
Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:
7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12
Next, subtract 6 from both sides:
2x + 6 = 12
-6 -6
__________
2x = 6
Finally, divide by 2, on both sides:
2x = 6
÷2 ÷2
__________
x = 3
So, the answer is 'B.'
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3.) 4x + 6 - 3x = 12 - 2x - 3x
Again, we combine the like-terms, on both sides of the equal sign:
x + 6 = 12 - 5x
Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:
x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12
Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:
6x + 6 = 12
- 6 - 6
_____________
6x = 6
Now, divide by 6, on both sides:
6x = 6
÷ 6 ÷ 6
_____________
x = 1
So, the answer is not 'C.'
_________________________________________
4.) 4x + 6 - 3x = 12x + 2x + 3x
First, we combine the like-terms:
x + 6 = 17x
Next, we get both terms, with the variable, 'x,' to the same side:
x + 6 = 17x
-x -x
_____________
6 = 16x
Now, divide by 16, on both sides:
X = 3/8
So, 'D,' is not the answer.
_______________________
The answer is, 'B.'
I hope this helps!