Firstly, the word rational...is derived from ratio..which in simple terms ..is a fraction. a rational function, like all functions, must contain both an independent and dependent variable. The general form of a function is y = f(x), where y [the dependent variable] is based on the value of x [ the independent variable. So, to answer the question, a rational function, is one that involves a rational expression, such as y = 23x/2.
Solution :
A). x = 2 (mod 3)
x = 3 (mod 5)
x = 4 (mod 7)
≡ 53(mod 105)
Hence the solution is 105 k + 53 > 1000 for k = 10
Therefore, the minimum number of students = 1103
B).
By Eulu's theory
if n and 935 are coprime.
Now, and 80 x 8 = 640
⇒ g(n,935) = 1
⇒ 5, 11, 17 do not divide n
Step-by-step explanation:
1. a) q=4+0.8(7)
q=4+5.6
q=9.6
b) q=4+0.8(100)
q=4+80
q= 84
2. a) 12=4+0.8p
-4 -4
<u>8</u>=<u>0.8p</u>
0.8 0.8
10=p
b) 60=4+0.8p
-4 -4
<u>56</u>=<u>0.8p</u>
0.8 0.8
70=p