Advanced Math

Chief Editor

Mar 23, 2024

Take all 3 MCQs in interactive quiz mode with timer and progress tracking

$$f(x)=9(4)^{x}$$The function $f$ is defined by the given equation. If $g(x)=f(x+2)$, which of the following equations defines the function $g$?

Difficulty: Hard

g(x)=18(4)^{x}

g(x)=144(4)^{x}

g(x)=18(8)^{x}

g(x)=81(16)^{x}

If a and c are positive numbers, which of the following is equivalent to $\sqrt{(a+c)^{3}}\cdot\sqrt{a+c}$?

Difficulty: Hard

$a+c$

a^{2}+c^{2}

a^{2}+2ac+c^{2}

a^{2}c^{2}

The total revenue from sales of a product can be calculated using the formula $T=PQ$, where $T$ is the total revenue, $P$ is the price of the product, and $Q$ is the quantity of the product sold. Which of the following equations gives the quantity of product sold in terms of $P$ and $T$?

Difficulty: Easy

Q=\dfrac{P}{T}

Q=\dfrac{T}{P}

$Q=PT$

$Q=T-P$