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Factorising the left hand side of the inequality gives (x-2)(x-3), so we know that the quadratic curve intersects the x-axis at x=2 and x=3. Since the coefficient of x^2 in the quadratic equation x^2-5x+6...

We can use the general equation of a straight line to tackle this question: y=mx+c (m is the gradient and c is the y-intercept).(Note: The points are in the form (x, y).)
First, we will determine the...

x = 110y = 30From x: y = 11:3 we can rearrange to find x = 11y/3 or y = 3x/11We can then substitute into x + y = 140 to get 11y/3 + y = 14y/3 = 140 y/3 = 10 y = 30once we have y, we can find that x + 30 =...

Making x the subject means we must rearrange the equation to get it into the form 'x='First, we need to get all the x's on one side; to do so, we will subtract 2x from each side to give 2x+7-2x=5x-2x. Thi...

Firstly, we can put the values given in the question into our equation.v² = 2w - x²Goes to ...v² = 2(40) - (4)²After we do the multiplication and indices, the e...