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Advanced Math

Set - 5

Premium Content

Chief Editor

Mar 23, 2024

0

Table of Contents

$$f(x)=|59-2x|$$<br/><br/>The function $f$ is defined by the given equation. For which of the following values of $k$ does $f(k)=3k\pi$
$$$\frac{14x}{7y}=2\sqrt{w+19}$$<br/><br/>The given equation relates the distinct positive real numbers $w$, $x$, and $y$. Which equation correctly expresses $w$ in terms of $x$ and $y$?$
$**<br/><br/>**$y^{2}+6x + 4$**<br/><br/>Which of the following is equivalent to the expression above?$
$In the expression $3(2x^{2}+px+8)-16x(\rho+4)$, $\rho$ is a constant. This expression is equivalent to the expression $6x^{2}-155x+24$. What is the value of $\rho$?$
$$(x+2)(x+3)=(x-2)(x-3)+10$<br/><br/>Which of the following is a solution to the given equation?$
$From 2005 through 2014, the number of music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005, approximately 600 million CDs were sold in the United States. Of the following, which best models $C$, the number of millions of CDs sold in the United States, $t$ years after 2005?$
$**V2x + 6 + 4 = x + 3**<br/><br/>What is the solution set of the equation above?<br/><br/>**$
$The expression $\frac{24}{6\pi+42}$ is equivalent to $\frac{4}{\pi+b}$, where $b$ is a constant and $x>0$. What is the value of $b$?$
$The population $P$ of a certain city $y$ years after the last census is modeled by the equation below, where $r$ is a constant and $P_{y}$ is the population when $y=0$.<br/><br/>$P=P_{0}(1+r)^{y}$<br/><br/>If during this time the population of the city decreases by a fixed percent each year, which of the following must be true?$
$Which expression is equivalent to $(2x^{2}-4)-(-3x^{2}+2x-7)$?$
$$$f(x)=(x+6)(x+5)(x-4)$$ <br/><br/> The function $f$ is given. Which table of values represents $y=f(x)-3$?$
$The product of two positive integers is 546. If the first integer is 11 greater than twice the second integer, what is the smaller of the two integers?$
$$\bm{f(x)=5,470(0.64)}^{\frac{1}{2}}$<br/><br/>The function $\bm{f}$ gives the value, in dollars, of a certain piece of equipment after $\bm{x}$ months of use. If the value of the equipment decreases each year by $\bm{p}\%$ of its value the preceding year, what is the value of $\bm{p}$?$
$\chi^$
$In the $xy$-plane, the $y$-coordinate of the $y$-intercept of the graph of the function $f$ is $c$. Which of the following must be equal to $c$ ?$

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$$f(x)=|59-2x|$$ The function $f$ is defined by the given equation. For which of the following values of $k$ does $f(k)=3k$?

Difficulty: Hard

Bookmark

A:

\frac{59}{5}

B:

\frac{59}{2}

C:

\frac{177}{5}

D:

$59$

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