2x(2x + 3)
That would be -----------------------
2x^2 + 13x + 15
We should factor the denominator and then reduce the original fraction:
2x(2x + 3) 2x x
----------------------- = ------------- = ---------
(2x + 3)(2)(x+5) 2(x+5) x+5
This is true only for x not equal to -5, not equal to -3/2.
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
<u>Given data:</u>
- <u>x | 2 | 3 | 4 | 5 | 6 </u>
- y | 21 | 69 | 261 | 1029 | 4101
<u>Logarithms of y-values:</u>
- log 21 = 1.322
- log 69 = 1.839
- log 261 = 2.417
- log 1029 = 3.012
- log 4101 = 3.613
<u>The ordered pairs:</u>
- (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)
<u>Using an online calculator found the equation of the regression line:</u>
<u>In our case it is:</u>
Answer:
418
Sn = ∑ 3 +4(n-1)
n=1
Step-by-step explanation:
3,7,11,15,.....1671
a1 =3
d = 4 (7-3=4)
an = a1 + d(n-1)
an = 3 +4(n-1)
We need to determine the last term
1671 = 3 +4(n-1)
Subtract 3
1671-3 = 3-3 +4(n-1)
1668 = 4(n-1)
divide by 4
1668/4 = 4(n-1)/4
417 = n-1
Add 1 to each side
418 = n
418
Sn = ∑ a1 +d(n-1)
n=1
418
Sn = ∑ 3 +4(n-1)
n=1
Multiply the top one by 3 for x, so you can eliminate x and find y
then plug in the y into one of the equations to find x