Question

1. The voltage, V volts, needed to send a fixed amount of current through a wire, is
directly proportional to its resistance, R ohms. If V = 18 when R = 12, find (i) the value
of V when R = 30 (ii) the value of R when V = 30.

2. It takes 3 men to carry out a job in 8 hours. The time required to complete the job, t
hours is inversely proportional to the number of workers, (i) If we need to complete the job in 34 hour, how many workers are required? (ii) Find the time taken to complete the job when 12 men are available.

3. If p = 2 is a solution of the equation 3p^2 + kp + 8 = 0. Find the value of k. Hence find the other solution of the equation.

Answer 1

Answer:

k = - 10

Step-by-step explanation:

(3) put values of p in equation

=> 3(2)² + 2k + 8

=> 2k = - 12 - 8

=> 2k = - 20

=> k = - 10