Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?

x = 178 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve 4x² + 25x + 25 = 0.Solve 4x^2 + 25x + 25 = 0.

y is directly proportional to x². When x = 5, y = 175. Work out the positive value of x when y = 28.y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 28.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.