A = \(\left( \begin{matrix} 3 & 0 \\ 4 & 5 \end{matrix} \right) \), B = \(\left( \begin{matrix} 6 & 3 \\ 8 & 5 \end{matrix} \right) \), C = \(\left( \begin{matrix} 3 & 6 \\ 1 & 1 \end{matrix} \right) \) find the matrix D, such that CD – AB = 0

Solve x + 2y - z = 5; x - y + z = -2; -5x - 4y + z = -11

Vani, her father and her grand father have an average age of 53. One-half of her grand father’s age plus one-third of her father’s age plus one fourth of Vani’s age is 65. Four years ago if Vani’s grandfather was four times as old as Vani then how old are they all now?

The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than five times the former number. If the hundreds digit plus twice the tens digit is equal to the units digit, then find the original three digit number?

Find the GCD of the given polynomials
x⁴ + 3x³ - x - 3, x³ + x² - 5x + 3

If a polynomial p(x) = x² - 5x - 14 is divided by another polynimial q(x) we get \(\frac { x-7 }{ x+2 } \), find q(x).

Which rational expression should be subtracted from \(\frac { { x }^{ 2 }+6x+8 }{ { x }^{ 3 }+8 } \) to get \(\frac { 3 }{ { x }^{ 2 }-2x+4 } \)

Solve pqx² - (p + q)²x + (p + q)² = 0

A ball rolls down a slope and travels a distance d = t² - 0.75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet.

A ladder 17 feet long is leaning against a wall. If the ladder, vertical wall and the floor from the bottom of the wall to the ladder form a right triangle, find the height of the wall where the top of the ladder meets if the distance between bottom of the wall to bottom of the ladder is 7 feet less than the height of the wall?