Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.

A. 4≤X≤5

B. 5≤X≤8

C. 5≤X≤10

D. 8≤X≤10

If (1P03)4 = 11510 find P

A. o

B. 1

C. 2

D. 3

If \(\frac{1}{p}\) = \(\frac{a^2 + 2ab + b^2}{a - b}\) and \(\frac{1}{q}\) = \(\frac{a + b}{a^2 - 2ab + b^2}\) Find \(\frac{p}{q}\)

A. \(\frac{a + b}{a - b}\)

B. \(\frac{1}{a^2 - b^2}\)

C. \(\frac{a - b}{a + b}\)

D. a² - b²

If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3

A. \(\frac{1}{3}\)

B. \(\frac{2}{3}\)

C. \(\frac{8}{27}\)

D. \(\frac{4}{9}\)

If a = -3, b = 2, c = 4, evaluate \(\frac{a^3 - b^3 - c^{\frac{1}{2}}}{b - a - c}\)

A. 37

B. \(\frac{-37}{5}\)

C. \(\frac{37}{5}\)

D. -37

If (g(y)) = \(\frac{y - 3}{11}\) + \(\frac{11}{y^2 - 9}\). what is g(y + 3)?

A. \(\frac{y}{11} + \frac{11}{y(y + 6)}\)

B. \(\frac{y}{11} + \frac{11}{y(y + 3)}\)

C. \(\frac{y + 30}{11} + \frac{11}{y(y + 3)}\)

D. \(\frac{y + 3}{11} + \frac{11}{y(y - 6)}\)

Factorize completely \((x^2 + x)^2 - (2x + 2)^2\)

A. (x + 1)(x + 2)(x - 2)

B. (x + 1) 2(x + 2) (x - 2)

C. (x + 1)² (x + 2)²

D. (x + 1)² (x + 2)(x - 2)

Simplify \(\frac{x - y}{x^{\frac{1}{3}} - x^{\frac{1}{3}}}\)

A. x² + xy + y²

B. x^{\(\frac{2}{3}\)} + x ^{\(\frac{1}{3}\)} + y^{\(\frac{2}{3}\)}

C. x^{\(\frac{2}{3}\)} - x^{\(\frac{1}{3}\)}y^{\(\frac{2}{3}\)}

D. y^{\(\frac{2}{3}\)}

What is the solution of the equation x2 - x - 1 + 0?

A. x = 1.6 and x = -0.6

B. x = -1.6 and x = 0.6

C. x = 1.6 and x = 0.6

D. x = -1.6 and x = -0.6

For what values of x is the curve y = \(\frac{x^2 + 3}{x + 4}\) decreasing?

A. -3 < x \(\leq\) 0

B. -3 \(\geq\) x < 0

C. 0 < x < 3

D. 0 \(\leq\) x \(\leq\) 3