Correct Answer: C. \(\frac{3}{x - y}\)

Explanation

\(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)

\(\frac{(x + y)(x - y)}{(x + y)(x + y)} + \frac{(x - y)(x - y)}{3(x + y)}\)

= \(\frac{3}{x - y}\)

Correct Answer: D. ceremonial functions

Correct Answer: C. Immunity of some citizens

Explanation

Immunity is granted to elected officials during their tenure and in the course of their duties, this immunity constraints on the principle of rule of law as these individuals may not be made to face the law should the need arise till the expiration of their tenures.

Correct Answer: B. Sierra Leone, Nigeria and Ghana

Correct Answer: C) It will break even

Explanation

This question is asking about what a firm needs to do in order to maximize its total profits. The options are: A) total revenue equals total cost, B) total cost exceeds total revenue by the greatest amount, C) it will break even, and D) it is at the break-even point.

The correct answer is C) it will break even. This means that a firm will make the most profit when its total revenue equals its total cost. When a firm is at the break-even point, it is not making a profit or a loss, but it is covering all of its costs.

It is important for a firm to consider its costs when making decisions about how much to produce and how much to charge for its products. If a firm charges too little for its products, it may not be able to cover its costs, and it will lose money. If a firm charges too much for its products, it may not sell enough to make a profit.

Therefore, a firm needs to find the sweet spot where it can charge a price that covers its costs while also selling enough products to make a profit. This is where the firm will maximize its total profits.

To learn more and verify this, please read the relevant sections of the recommended textbooks.

Correct Answer: C. N1000 + N500 = N1500

Correct Answer: A. drugs

Correct Answer: D. 12x² - 4x + 1

Explanation

(a) \(F = xi + 15j\)

\(|F| = \sqrt{x^{2} + 15^{2}} = 17\)

\(x^{2} = 17^{2} - 15^{2} = 64\)

\(x = \pm \sqrt{64} = \pm 8\)

\(x = 8 ; x = -8\)

(b)

\(\tan \alpha = \frac{15}{8} = 1.875\)

\(\alpha = \tan^{-1} (1.875) = 61.9° \approxeq 62°\)

\(\tan \beta = \frac{15}{-8} = -1.875\)

\(\beta = \tan^{-1} (-1.875) = -61.9°\)

= \(180° - 61.9° = 118.1° \approxeq 118°\)

Directions of forces are 62° and 118° each with the positive x- axis.

Correct Answer: A. capture state power