Correct Answer: C. 1/35

Explanation

125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)

= 5\(^{-1}\) x 7\(^{-1}\) x 1

= \(\frac{1}{35}\)

Correct Answer: D. \((\frac{2}{5}, 4\frac{1}{5})\)

Correct Answer: A. \(x^2 + x(m - 2n)-2mn=0\)

Explanation

x = -m \(\implies\) x + m = 0;

x = 2n \(\implies\) x - 2n = 0.

\(\implies (x + m)(x - 2n) = 0\)

\(x^2 + mx - 2nx - 2mn = 0\)

\(x^2 + x(m - 2n) - 2mn = 0\)

Correct Answer: D. 60.0cm³

Explanation

Volume of a rectangular pyramid = \(\frac{length * width * height}{3}\) or \(\frac{area * height}{3}\)

= \(\frac{24 * 7.5}{3}\) → \(\frac{180}{3}\)

Volume of the rectangular pyramid = 60cm\(^3\)

Correct Answer: C. N1875

Explanation

Price of television = N25,000

Paid N10, 000

Remainder = N(25,000 - 10,000)

= N15,000

Eight equal installments = \(\frac{15,000}{8}\)

= N1,875 per installment.

Correct Answer: B. y≤-3x+3

Explanation

Gradient of the line = \(\frac{3 - 0}{0 - 1}\)

= -3

y = -3x + b.

Using (1,0), we have

0 = -3(1) + b

0 = -3 + b

b = 3

y = -3x + 3

\(\therefore\) The graph illustrates y \(\leq\) -3x + 3.

Correct Answer: A. x >7

Correct Answer: D. 2^2/3

Explanation

Log₂a = Log₈4

Log₂a = Log₈8^2/3 ? 2/3Log₈8 ? 2/3 x 1

Log₂a = 2/3

Recall; If Log_ax = y ? ay = x

Log₂a = 2/3

2^2/3 = a

Correct Answer: A. 8

Correct Answer: B. -1

Explanation

8\(^{x - 2}\) = 4\(^{3x}\)

2\(^{3(x - 2)}\) = 2\(^{2(3x)}\)

2 \(^{3x - 4}\) = 2\(^{6x}\)

2 \(^{x - 4}\) = 6\(^x\)

\(\frac{-4x}{-4}\) = \(\frac{4}{-4}\)

x = -1