(a) Solve the recurence relation a, = 12an-1-20an-2, ao = 2, a₁ = - 12. (b) (i) Show that 33 is an inverse of 59 modulo 139. (ii) Solve the linear congruence 59x = 21(mod 139).

[4+(1+2)=7 marks]

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Which of the following best describes the delian problem?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte