Answer:
3x - 11
Step-by-step explanation:
x + 5/ 3x-11
3x - 11 is the quotient
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We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
We are asked to sum the two trinomials

. We can start by using the distributive property to remove the parenthesis, giving us

. Next, when we combine like terms, we get

. Hope this helped!
Answer:
A
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = 
To find k use the condition y = 48 when x =
, thus
k = yx = 48 ×
= 16
y =
← equation of variation