Search our library of Maths questions

Top answers

Maths

All levels

The formula to convert from degrees Fahrenheit to degrees Celsius is C=(F-32)*(5/9). If it is 32 degrees Celsius, what is the temperature in Fahrenheit?

This question involves rearranging the equation to make F, the temperature in Fahrenheit, the subject of the formula. We'll start by writing out the original formula, and then we will move the elements of...

Answered by Sarah B. • Maths tutor

11160 Views

i) Factorise x^2 – 7x + 12 ii) Solve x^2 – 7x + 12

i)STEP 1: Make 2 brackets and put an x in each one: (x )(x )
STEP 2: Find 2 numbers when multiplied together make 12 and when added together they make -7
Multiples of 12:
1 x ...

Answered by Hashir C. • Maths tutor

3969 Views

Please expand the brackets in the following equation to get a quadratic equation. Then, please show using the quadratic formula that the solutions to the equation are x=3 and x=5. Here is the starting equation: (x-3)(x-5)=0

(X-3)(x-5)=0Use F.O.I.LFirst x multiplied by x gives x²outer x multiplied by -5 gives -5xinner x multiplied by -3 gives -3xlast -5x-3 gives +15combining we get x²-8x+15=0the quadrati...

Answered by Jacob G. • Maths tutor

3449 Views

Show that the funtion (x-3)(x^2+3x+1) has two stationary points and give the co-ordinates of these points

Stationary points are points where the gradient of a function is equal to 0. In this question the product rule can be used to find the gradient of the given function. The product rule is given by u'v+uv'...

Answered by Joe R. • Maths tutor

3336 Views

Find the nature of the turning points of the graph given by the equation x^4 +(8/3)*x^3 -2x^2 -8x +177 (6 marks)

(1 mark) Differentiate equation in the question: 4x³+8x²-4x-8(1 mark) Equate this to zero: (x-1)(x+1)(x+2)=0(1 mark) Find turning points (roots of above equation): x=1,-1,-2(1 mark) ...

Answered by Elizabeth B. • Maths tutor

3355 Views