Solve the equation 4/a + 1/5a = 3
21/5
12/5
11/3
14/15
1/3
Correct answer is B
No explanation has been provided for this answer.
If x is a real number which of the following is more illustrated on the number line?
x < 4
x > -2
-2 < x ≤ 4
-3 ≤ x < 4
-2 ≤ x < 4
Correct answer is E
No explanation has been provided for this answer.
M = 2n/3p
M = 3n2/2p2
M = n2/2p
M = 3n/2p2
M = 2n/3p2
Correct answer is D
\(M \propto \frac{n}{p^2}\)
\(M = \frac{kn}{p^2}\)
\(3 = \frac{k(2)}{1^2}\)
\(3 = 2k \implies k = \frac{3}{2}\)
\(M = \frac{3n}{2p^2}\)
If 3p - q = 6 and 2p + 3q = 4, find q
0
1/2
2/3
1
33/7
Correct answer is A
3p - q = 6 ........ 1
2p + 3q = 4 ....... 2
Multiply eqn 1 by 3
9p - 3q = 18 ........ 3
2p - 3q = 4 ......... 2
Add eqn3 and eqn2
11p = 22 => p = 22/11 = 2
Substitute for p =2 in eqn1
3p - q = 6
3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6
q = 0
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
Correct answer is A
\(\frac{5}{x - y} - \frac{4}{y - x}\)
= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)
= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)
= \(\frac{9y - 9x}{(x - y)(y - x)}\)
= \(\frac{9(y - x)}{(x - y)(y - x)}\)
= \(\frac{9}{x - y}\)
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