Q1. Solve the following: (1) 4 - xS 13 (ii) 2(x – 6) + 3x < 8 х, х (iii) z* +=5

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Author:R. David Gustafson, Jeff Hughes
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Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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please thoroughly solve questions 2, 3, 4, 5 and 6 

 

ECON 1003 – Mathematics for the Social Sciences
Diagnostic Activity for New Students 2020
Q1. Solve the following:
(1) 4 - xs 13
(ii) 2(x – 6) + 3x <8
(iii)
+==5
Q2. Factorise completely
) 3х — бу + ах - 2аy
:-:
(ii) p? - 1
(iil) х?- х — 12
(iv) 2x2 - 5x – 7
Q3. Expand and simplify
(1) (2k – 3)(k – 2)
Q4 For the functions f(x) = 7x + 4,
h(x)
10
- 3 and g(x) = 3x – 2
(a) Evaluate
) g(4)
(ii) h{g(4)}
(iii) f~"(11)
(b) Write expressions in x for
() h-(x)
(ii) g[g(x)}
a
Q5 Make Q the subject of P =
+b
Transcribed Image Text:ECON 1003 – Mathematics for the Social Sciences Diagnostic Activity for New Students 2020 Q1. Solve the following: (1) 4 - xs 13 (ii) 2(x – 6) + 3x <8 (iii) +==5 Q2. Factorise completely ) 3х — бу + ах - 2аy :-: (ii) p? - 1 (iil) х?- х — 12 (iv) 2x2 - 5x – 7 Q3. Expand and simplify (1) (2k – 3)(k – 2) Q4 For the functions f(x) = 7x + 4, h(x) 10 - 3 and g(x) = 3x – 2 (a) Evaluate ) g(4) (ii) h{g(4)} (iii) f~"(11) (b) Write expressions in x for () h-(x) (ii) g[g(x)} a Q5 Make Q the subject of P = +b
Q6.
a. When three pens and four erasers were purchased, the cost was $21.25. When two pens
and two erasers were purchased, the cost was $12.50. What was the the price of a pen and the
price of an earaser?
b. Solve y = x? +1 and 2y = 3x + 4
Transcribed Image Text:Q6. a. When three pens and four erasers were purchased, the cost was $21.25. When two pens and two erasers were purchased, the cost was $12.50. What was the the price of a pen and the price of an earaser? b. Solve y = x? +1 and 2y = 3x + 4
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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning