If $\frac{dy}{dx}=2x-3$and y = 3 when x = 0. Find y in terms of x

If the 9^th term of an AP is fives times the 5^th term, find the relationship between a and d

Solve the equation${{x}^{3}}-5{{x}^{2}}-x+5=0$

Find the range of values of x for which $\frac{x+2}{4}-\frac{2x-3}{3}<4$

A sector of circle of radius 7.2cm which subtends an angle of 300^oat the centre is used to form a cone. What is the radius of the base of the cone?

If $p:q=\tfrac{2}{3}:\tfrac{5}{6}$and $q:r=\tfrac{3}{4}:\tfrac{1}{2}$ find $p:q:r$

In the figure below, PQR is a straight line segment, PQ = QT . Triangle PQT is an isosceles triangle. $\angle QPT$ is 25^o . Calculate the value of $\angle RST$

Factorize $4{{x}^{2}}-9{{y}^{2}}+20x+25$

A man saves N100.00 in his first year, saves N20.00 more than in the preceding year. In how many years will he save N5,800.00

Given the matrix \[k=\left( \begin{matrix}   2 & 1  \\   3 & 4  \\\end{matrix} \right)\]the matrix ${{k}^{2}}+k+1$ is , where I is the 2× 2 identity matrix