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Solve to find x: 32x + 43 = -8x - 17

In order to find 'x', one must be able to isolate x on one side of the equation. This would be achieved firstly by adding +8x to both side of the equation:The left hand side would thus look like this: 40x...

Answered by Francis B. Maths tutor
3077 Views

Katie buys: 3 pens costing £2.20 each, 1 rubber costing £1.60 and 2 pencils. She pays with a £10 note and a £2 coin. She gets 20p change. What was the price of each pencil?

You can put this question into the form of an equation in order to solve it.Step 1: The total cost of the items is (10+2)-0.20= £11.80. Step 2: putting it in equation form: let x be the price of 1 pencil,...

Answered by Juliette W. Maths tutor
3522 Views

Prove by mathematical induction that (2C2)+(3C2)+(4C2)+...+(n-1C2) = (nC3).

Firstly, show the equation is true for n = 3 (as this is the samllest n that nC3 is defined): LHS = (2C2) = 1 = (3C3) = RHStherefore, true for n=3.
Then assume true for n = k:(2C2)+(3C2)+(4C2)+...+(k...

Answered by Henry X. Maths tutor
14344 Views

log_10⁡((1/(2√2))*(p+2q))=(1/2)(log_10⁡p+log_10⁡q),p,q>0,find p in terms of q.

log10[(1/2√2)(p+2q)]=(1/2)(log10p+log10q)log10[(1/2√2)(p+2q)]=(1/2)(log10pq)log10[(1/2√2)(p+2q)]=log10(pq)1/2...

Answered by Henry X. Maths tutor
8085 Views

Find the integral of 4/(1-x^2) dx:

The first thing to notice here is that the denominator of the integrand is a case of 'difference of two squares'. The integral, which I will call I, can be rewritten as the integral of 4/((1+x)(1-x)) dx. ...

Answered by Jemima P. Maths tutor
4471 Views

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