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Recent questions tagged divisible


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Prove by induction that for every natural number $n$, $n^{3}+2 n$ is divisible by 3
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\(a(x)=2 x^{4}+x^{3}-x^{2}+5\) and \(b(x)=x^{2}+4 x-3 .\) Find \(a(x) \div b(x)\)
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\(a(x)=2 x^{4}+x^{3}-x^{2}+5\) and \(b(x)=x^{2}+4 x-3 .\) Find \(a(x) \div b(x)\)\(a(x)=2 x^{4}+x^{3}-x^{2}+5\) and \(b(x)=x^{2}+4 x-3 .\) Find \(a(x) \div b(x)\) ...
by MathsGee Platinum
(103,512 points)
asked in Mathematics Jan 13
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\(a(x)=18\) and \(b(x)=7 .\) Find \(a(x) \div b(x)\)
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Divide \(a(x)\) by \(b(x)\) and find the quotient \(q(x)\) and remainder \(r(x)\). Check your answer by showing that \(q(x) b(x)+r(x)=a(x)\).
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Factorize \(x^{2}+5 x+6\)
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Factorize \(x^{2}+5 x+6\)Factorize \(x^{2}+5 x+6\) ...
by MathsGee Platinum
(103,512 points)
asked in Mathematics Jan 13
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Simplify \(\dfrac{x}{x^{2}-5 x+6}-\dfrac{6}{x^{2}+2 x-8}\)
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Simplify \(\left(1+\frac{p+q}{p-q}\right) \div\left(1+\frac{p-q}{p+q}\right)\)
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Simplify \(\frac{1}{x(x-1)}+\frac{1}{x(x+1)}+\frac{1}{x^{2}-1}\)
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Simplify \(\dfrac{7}{x^{2}-5 x+6}-\dfrac{6}{x^{2}+2 x-8}\)
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Derive the following identities by putting \(C=A+B\) and \(D=A-B\) (and expressing \(A\) and \(B\) in terms of \(C\) and \(D)\)
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What is an infinitely divisible random variable?
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What is an infinitely divisible random variable?What is an infinitely divisible random variable? ...
by MathsGee Platinum
(103,512 points)
asked in Data Science & Statistics Sep 21, 2021
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Show that a positive integer is divisible by 9 if and only if the sum of its digits is divisible by nine.
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If $n$ is a natural number, the number $3^{4 n+4}-4^{3 n+3}$ is divisible by:
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Find the value of $20 \times 19$.
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Find the value of $20 \times 19$.Find the value of $20 \times 19$. ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics May 10, 2021
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Grade 12 Paper 1 - If $n$ is the largest integer for which $n^{200}<5^{300}$, determine the value of $n$.

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If $S_n=3n^2-2n$. Determine $T_9$
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If $S_n=3n^2-2n$. Determine $T_9$If $S_n=3n^2-2n$. Determine $T_9$ ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics Apr 8, 2021
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A toy train has 164 seats. Find the number of seats in 7 such trains.
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A toy train has 164 seats. Find the number of seats in 7 such trains.A toy train has 164 seats. Find the number of seats in 7 such trains. ...
by MathsGee Platinum
(103,512 points)
asked in Mathematics Mar 28, 2021
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Find the sum of first 24 terms of the list of numbers whose $n^{th}$ term is given by $a_n = 3 +2n$
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How many numbers are between 256 and 789 are divisible by 7 ?
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How many numbers are between 256 and 789 are divisible by 7 ?How many numbers are between &nbsp;256 &nbsp;and &nbsp;789 &nbsp;are divisible by &nbsp;7 ? ...
by MathsGee Platinum
(103,512 points)
asked in Mathematics Feb 20, 2021
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How many numbers between 7500 and 7800 are divisible by 5 but not divisible by 7 using venn diagram?
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How many numbers between 7500 and 7800 are divisible by 5 but not divisible by 7 using venn diagram?How many numbers between 7500 and 7800 are divisible by 5 but not divisible by 7 using venn diagram? ...
by MathsGee Platinum
(103,512 points)
asked in Mathematics Feb 20, 2021
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How many numbers less than 400 but greater than 10 are divisible by 7?
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How many positive numbers less than 1000 are divisible by 6 but not by 5?
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How many positive numbers less than 300 are divisible by 7 but not 5?
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How many positive numbers less than 300 are divisible by 7 but not 5?How many positive numbers less than 300 are divisible by 7 but not 5? ...
by MathsGee Platinum
(103,512 points)
asked in Mathematics Feb 20, 2021
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Find the largest integer that divides all terms of the sequence ${a_n}$, where $a_n = n^5 −n, n ≥ 1$.
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