Four times a number would equal 4n
X² + mx + 14
If (x+2) one of the factors, we can write
14 = 2*7
m = 2+7= 9
x² +9x + 14 = (x+2)(x+7)
Fractions can be converted to decimals and vice versa.
<em>The decimal equivalent of the fraction of months with 31 days is 0.583</em>
Given:
<em />
<em> --- months in a year</em>
<em />
<em> --- months with 31 days</em>
<em />
The fraction (n) of months with 31 days is:
So, we have:
The decimal equivalent is:
Hence, (c) is correct.
Read more about fractions and decimals at:
brainly.com/question/548650
Answer: 51 uinits
The three numbers are x , x + 21 and x + 27.
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.
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Pythagoras Theorem
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a² + b² = c²
x² + (x+21)² = (x+27)²
x² + x² + 42x + 441 = x² + 54x + 729
x² - 12x -288 = 0
(x - 24)(x + 12) = 0
x = 24 or x = -12 (rejected, length cannot be negative)
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Find hypotenuse
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Hypotenuse = x + 27 = 24 + 27 = 51 units
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Answer: 51 units
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Answer:
2
Step-by-step explanation:
The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.
So we are going to need to corresponding y coordinates.
What y corresponds to x=1? y=3
What y corresponds to x=2? y=5
So we have the ordered pairs (1,3) and (2,5).
Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.
(2 , 5)
-(1 , 3)
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1 2
The average rate of change is 2/1 or just 2.
Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.
