13. Identify the expressions that cannot be factored a) 4x² 12x +9 c) b) x² + 3x + 2 3x + 5 +² x² 100 1 d) 14. A rectangular enclosure has an area in square metres given by A(W2u² + 36 14 where w is the width of the rectangle in metres, Determine the width that would create a rectangular enclosure of 130 m². 5 m 13 m 10 m a) b) c) d) 7 m 15. Which of the following functions is equivalent -2(x - 5)² + 3? - 2x² - 5x + 3 - to f(x) = a) g(x) = = b) g(x) = c) g(x) d) g(x) = 2x² - 47 = x² 10x + 28 - 2x² + 20x - 47 - - 16. Which of the following expressions is a perfect square? a) 4x² - 9 b) 4x² + 37x + 9 c) 4x² + 12x + 9 d) 4x² + 36x + 9 4 17. Which are the correct zeros of f(x) = x² - x - 12? a) x = 4 and x = -3 b) x = and x and x = 3 c) x = -4 and x = 3 d) x = -4 and x = -3
13. Identify the expressions that cannot be factored a) 4x² 12x +9 c) b) x² + 3x + 2 3x + 5 +² x² 100 1 d) 14. A rectangular enclosure has an area in square metres given by A(W2u² + 36 14 where w is the width of the rectangle in metres, Determine the width that would create a rectangular enclosure of 130 m². 5 m 13 m 10 m a) b) c) d) 7 m 15. Which of the following functions is equivalent -2(x - 5)² + 3? - 2x² - 5x + 3 - to f(x) = a) g(x) = = b) g(x) = c) g(x) d) g(x) = 2x² - 47 = x² 10x + 28 - 2x² + 20x - 47 - - 16. Which of the following expressions is a perfect square? a) 4x² - 9 b) 4x² + 37x + 9 c) 4x² + 12x + 9 d) 4x² + 36x + 9 4 17. Which are the correct zeros of f(x) = x² - x - 12? a) x = 4 and x = -3 b) x = and x and x = 3 c) x = -4 and x = 3 d) x = -4 and x = -3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:13. Identify the expressions that cannot be factored
a) 4x²
b)
c)
d)
-
-
x² + 3x + 2
3x + 5
x²
100 - x²
12x + 9
14. A rectangular enclosure has an area in square
metres given by A(W) = -2w² + 36w,
where w is the width of the rectangle in metres.
Determine the width that would create a
rectangular enclosure of 130 m².
5 m
13 m
10 m
a)
b)
c)
d) 7 m
15. Which of the following functions is equivalent
−2(x - 5)² + 3?
- 2x² - 5x + 3
1
to f(x) =
a) g(x)
b) g(x) =
x² - 10x + 28
c) g(x) = −2x² + 20x - 47
d) g(x) = 2x² - 47
=
-
16. Which of the following expressions is a perfic
square?
a) 4x² - 9
b) 4x² + 37x + 9
c)
4x² + 12x + 9
d)
4x² + 36x + 9
17. Which are the correct zeros of
f(x) = x² - x - 12?
a) x = 4 and x = -3
4 and x = 3
b) x =
c)
x =
-4 and x = 3
d) x =
-4 and x =
= -3
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