The answer is b
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hope yhis helps
I'll let <em>h</em> = <em>ax</em>, so the limit is
![\displaystyle\lim_{h\to0}\frac{(x+h)^2-2(x+h)+1-(x^2-2x+1)}h](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bh%5Cto0%7D%5Cfrac%7B%28x%2Bh%29%5E2-2%28x%2Bh%29%2B1-%28x%5E2-2x%2B1%29%7Dh)
i.e. the derivative of
.
Expand the numerator to see several terms that get eliminated:
![(x+h)^2-2(x+h)+1-(x^2-2x+1)=x^2+2xh+h^2-2x-2h+1-x^2+2x-1=2xh+h^2-2h](https://tex.z-dn.net/?f=%28x%2Bh%29%5E2-2%28x%2Bh%29%2B1-%28x%5E2-2x%2B1%29%3Dx%5E2%2B2xh%2Bh%5E2-2x-2h%2B1-x%5E2%2B2x-1%3D2xh%2Bh%5E2-2h)
So we have
![\displaystyle\lim_{h\to0}\frac{2xh+h^2-2h}h](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bh%5Cto0%7D%5Cfrac%7B2xh%2Bh%5E2-2h%7Dh)
Since <em>h</em> ≠ 0 (because it is approaching 0 but never actually reaching 0), we can cancel the factor of <em>h</em> in both numerator and denominator, then plug in <em>h</em> = 0:
![\displaystyle\lim_{h\to0}(2x+h-2)=\boxed{2x-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bh%5Cto0%7D%282x%2Bh-2%29%3D%5Cboxed%7B2x-2%7D)
Answer:
4n - 2
Step-by-step explanation:
Greater = 2n
Smaller = 2n - 2
Sum = 2n + (2n - 2)
Sum = 2n + 2n - 2
Sum = 4n - 2
Step-by-step explanation:
Let the number of children that swam be A
Let the number of adults that swam be B
1.75A+2B=1113.75 Equation 1
Total number of people that used that pool =602
A+B=602 Equation 2
These are simultaneous Equations
multiply Equation 2 by(2) on both the sides we get
2A+2B=1204 Equation 3
Subtract Equation 1 from Equation 3
2A+2B=1204 Equation 3
1.75A+2b=1113.75 Equation 1
<u> - - -</u>
.25A+0 =90.25
.25A=90.25
A=90.25/.25
A=361
putting value of A in Equation 2 we get
361+B=602
B=602-361
B=241
so number of children is 361
and number of adults is 241
The possible combination is 1365.
The correct option is (B)
<h3>What is Combination?</h3>
Combinations are also called selections. Combinations correspond to the selection of things from a given set of things. Here we do not intend to arrange things. We intend to select them. We denote the number of unique r-selections or combinations
Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by
nCr = n!/ r!( n- r)!
Given:
Players, n = 15
Selected, r = 11
So,
15 C_11
= 15!/ 11 ! 4 !
= 15*14*13*12 / 4*3*2
= 1365
Hence, the possible combination is 1365.
Learn more about combination here:
brainly.com/question/28070931
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