ARTISAN COURSES MATHEMATICS --ENDTERM
APL20J, AMA20J, AWF20S, AIE20J
TERM III
TIME 2 HOURS
ANSWER ALL THE QUESTIONS
10 cps
1. The HCF of the three numbers is 22-x3x5 and LCM is 24x32x52. If two of the numbers are 240 and 360 and the third is x find the
two possible values of x (8mks)
2. Find the difference between the LCM of 12,24 and 48 and the GCD of 56,48 and 18 (8mks)
3. Evaluate -45/(-15x4-(-38)
-50x50/5x(-5) (7mks)
kamau spend 3/5 of his money on buying food and 7 of what was left on rent. After that he finds that he has sh1400 left
pocket. Determine the amount spent on buying food (5mks)
5.Express 0.27 as a fraction in its simplest form (6mks)
6.write prime numbers between 10 and 20 in descending Order (4mks)
7. Find the LCM of a2-ab-12b2 and a+3b, hence simplify
ay
ES
2b
1
13 물
(7MKS)
a+3b
24
a2-ab-12b2
nf a muntry Q is about 1.1x109 and that of country P is about 1.2x108 Find (a) the difference bet​

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

tip $2.90

total $17.40

54/3 is 18 so 18 is your answer