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How do I work out the equation of a tangent line to a curve?

A tangent line to a point of a curve is the straight line which is parallel to the the curve at that point.The equation of any straight line has equation form : y-y_1 = m(x-x_1) where m is the gradient of...

Answered by Maths tutor
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Simplify fully (3x^2-8x-3)/(2x^2-6x)

Simply factorise both expressions and cancel out the common denominator until left with a fully simplified fraction.the top expression becomes (3x+1)(x-3) and the bottom becomes 2x(x-3). Therefore, (x-3) ...

ST
Answered by Sydney T. Maths tutor
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Solve the simultaneous equations 2x + 3y = 6 - 3x and 5x + 6y = 10 - y.

Step 1: First it is best to rearrange the to simultaneous equations to have the unknown variables on one side and the constants on the other: 5x + 3y = 6 and 5x + 7y = 10.Step 2: Next is to notice that bo...

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Answered by Fraser W. Maths tutor
3630 Views

(b) In 2013, the price for each unit of electricity was 13.5 cents. Over the next 3 years, this price increased exponentially at a rate of 8% per year. Calculate the price for each unit of electricity after 3 years

answer = 17.01 cents

Answered by Maths tutor
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(ii) In 90 days, the gas used by a family cost $198.16 . Calculate the number of units of gas used.

total in CENTS = (n days x p per day) + (n units x p per unit)19816 = (90 X 24.5) + (y x 5.5)y = 3202 units

Answered by Maths tutor
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