Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
5 or \( \frac{3}{2} \)
1 or \( \frac{15}{13} \)
2 or 15
13 or 15
Correct answer is A
The fraction is undefined when the denominator is equal to zero
\(2x^2 - 13x + 15 = 0\\
2x^2 - 3x - 10x + 15\\
x(2x-3)-5(2x-3) = 0\\
(2x-3)(x-5)=0\\
x = \frac{3}{2} or x = 5\)
\(\frac{3}{5}\)
\(\frac{9}{10}\)
\(\frac{3}{20}\)
\(\frac{1}{4}\)
Correct answer is A
Member that are neither doctors nor lawyers = 60-(15+9)=36
Probability (Not doctors ad not lawyers) \(=\frac{36}{60}\\
=\frac{6}{10}=\frac{3}{5}\)
Calculate the value of y in the diagram
17
34
44
45
Correct answer is A
Sum of interior angle of the diagram equals 360o
180o - 5yo + 136o + 180o + 180o - 3yo = 360o
-8yo + 136o = 0
-8yo = -136; y = 17
60
80
100
360
Correct answer is B
Sum of interior angles in a quadrilateral is 360
(x + 20)o + (x+ 10)o + (2x - 45)o + (x - 25)o = 360o
5xo - 40o = 360o
x = 400/5 = 80o
What is the size of angle x in the diagram
15o
30o
45o
60o
Correct answer is B
\(Sin\theta^{\circ} = \frac{opp}{hyp}\\
Sin X^{\circ}=\frac{5}{10}=0.5000\\SinX^{\circ}\\
X^{\circ} = sin^{-1}0.5000\\
X^{\circ}=30^{\circ}\)
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