QUESTION 8:   PQRS is a square with side 7cm. Work out the length of the diagonal QS in PQRS. Give your answer correct to 2 decimal places. (3)  

QUESTION 6:   A school with 900 students has 150 computers. Write the ratio of the number of students to the number of computers in the form n:1. (2)

QUESTION 10:   In the following diagram, use the tangent ratio to   10.1 Angle (2) 10.2 Length (3)    

Identify the asymptotes. You must show work or no credit will be given. f (x) =

Find the x-intercepts of the following equation. You must show all work or no credit will be given.f(x) = 3×2 + 12x – 15

Solve the problem. You must show work or no credit will be given. a. Identify the horizontal asymptote (if any).b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the horizontal asymptote. Hint: Set the equation equal to the horizontal asymptote and solve to see if it crosses.f (x) =

Write a polynomial f (x) that meets the given conditions. You must show work or no credit will be given. Degree 3 polynomial going through the point (0,42) with zeros of 1, 7, and 6.

Solve the problem. You must show your work or no credit will be given.A fireworks mortar is launched straight upward from a pool deck platform 4 m off the ground at an initial velocity of 61 m/sec. The height of the mortar can be modeled by where h(t) is the height in meters and t is the time in seconds after launch. What is the maximum height? Round to the nearest meter.

Find the leading term to determine the end behavior of the graph of the function. f (x) = 8×3( -x +4 )(7x – 6)4

Use synthetic division to divide the polynomials. You must show work or no credit will be given.