The maximum value of 5 + 20x - 4x², when x is a real number is
30
The correct answer is option 4: 30.
The given equation is a quadratic equation in x. To find its maximum value, we can use the method of completing the square or finding the vertex of the parabola. The maximum value of the expression is 30 when x = 1.
Four small squares of side x are cut out of a square of side 12 cm to make a tray by folding the edges. What is the value of x so that the tray has the maximum volume?
If 3 ≤ x ≤ 10 and 5 ≤ y ≤ 15 , then maximum value of \(\left(\frac{x}{y}\right)\) is-
If N is a four digit number formed by digits x 1, x 2, x 3and x 4, then maximum value of \(\frac{N}{x_{1}+x_{2}+x_{3}+x_{4}}\) is-