Which of these values would make \(\frac{3p^-}{p^{2-}}\) undefined?
1
\(\frac{1}{3}\)
-\(\frac{1}{3}\)
-1
Correct answer is A
P\(^2\) - p = 0
p(p - 1) = 0
p = 0 or p = 1
Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
\(\frac{x - 7}{x + 7}\)
\(\frac{x + 7}{x - 7}\)
\(\frac{x - 2}{x + 4}\)
\(\frac{x + 2}{x - 2}\)
Correct answer is D
\(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
\(\frac{(x - 7)(x + 2)}{(x - 7)(x - 2)}\)
= \(\frac{x + 2}{x - 2}\)
\(\frac{1}{6}\)
\(\frac{1}{4}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
Correct answer is C
Total number of people in the lift = 8 boys + 4 girls
= 12 people
probability that a boy comes out = \(\frac{8}{12}\) = \(\frac{2}{3}\)
If (0.25)\(^y\) = 32, find the value of y.
y = - \(\frac{5}{2}\)
y = -\(\frac{3}{2}\)
y = \(\frac{3}{2}\)
y = \(\frac{5}{2}\)
Correct answer is A
(0.25)\(^y\) = 32
2\(^{-2y}\) = 3\(^{2}\)
2 - 2y = 5
y = - \(\frac{5}{2}\)
If 3p = 4q and 9p = 8q - 12, find the value of pq.
12
7
-7
-12
Correct answer is A
9p = 8q - 12
9p = 2(4q) - 12
9p = 2(3q) - 12
9p = 6p - 12
3p = -12
p = -4
\(\frac{3 \times -4}{4} = \frac{4q}{4}\)
q = 13
pq = -3 x -4
= 12