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Maths
GCSE

Here are the first four terms of a quadratic sequence: 11 26 45 68. Work out an expression for the nth term.

Firstly we must count the values between each of the terms to find the first differences. (EG- 26-11=15, 1st differences: 15,19,23)Next we need to count the values between each of the first differences to...

Answered by Daniel C. Maths tutor
12372 Views

Solve the equation (3x**2 + 8x + 4) = 0

x = -2 x = -2/3

Answered by Tamsin P. Maths tutor
2765 Views

Solve 8p = 24

In order to get p on its own, it is necessary to move it over to the right hand side of the equation. When moving something from one side to another, you flip the sign. For example, in this case, it is 8*...

Answered by Sebastian T. Maths tutor
3924 Views

Solve the simultaneous equations: 5x + y = 21, x - 3y = 9

Two equations 1) 5x + y = 21, 2) x - 3y = 9. Eliminate x or y by manipulating equations 1 or 2. Equation 3 = equation 2 x 5 = 5(x-3y) = 5(9) 3) 5x - 15y = 45. Equations 3 & 1 both have 5x's so we can ...

Answered by Jason L. Maths tutor
2751 Views

If f(x) = 3x +x^2, what is f(-2)?

f(-2) = 3(-2) + (-2)2 = -6 + 4 = 2First you need to substitute -2 for each value of x in the function. Then you need to simplify the expression by multiplying -2 by 3 and by squaring -2. (Hint...

Answered by William B. Maths tutor
4194 Views

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