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Several problems on quadratic function & system of equations

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1. 2x-9=-3
The solution is x=

2. Fran swims at a speed of 2.4km/h in still water. The lazy river flows at a speed of 0.8km/h. How long will it take Fran to swim 1.6km upstream.
It will take Fran ____ hr to swim 1.6 km upstream

3. |x-6|=27
The solution set is ?

4. g(x)=10/1-2x
What is the correct domain

5. 9x-2y = -108
6x+75=y
What is the solution of the system

6. (r^2-3+^2)(r^2+2^+2)
Multiply

7. -5y^5 + 20y^4
Factor out a factor with a negative coefficient

8. Factor the trinomial
v^2-2v + 16
The answer is ___
type N if the trinomial is not a factorable

9.27 r^2+ 18r+ 3
What is the factor

10. 3a^2+ 22a +40=0
a=___

11. A driver drove at a speed of 64mph for r hours. How far did the driver go? the algebraic expression 64 mph at r hours is d= ____ miles.

12. -3(3c+14d)
Multiply

13. 20a+12b-12a+18b=____
Collect terms

14. Simply by removing parentheses and collecting like terms
-5(b+4)-9(b+4)
simplify your answer

15. a^11.a-3
Simplify your answer. Type exponential notation with positive exponents

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Solution Summary

This solution consists of several problems on solving quadratic equations, linear equations, system of linear equations, graphing functions and finding domains of the given function. Step by step detailed solutions are provided to explain the concept.

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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