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Home
SAT
Math Section
Advanced Math

Set - 8

Premium Content

Chief Editor

Mar 23, 2024

0

Table of Contents

$When the quadratic function $\bm{f}$ is graphed in the $\xy$-plane, where $\bm{y}=\bm{f}(\bm{x})$, its vertex is $(-3,6)$. One of the $x$-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other $x$-intercept of the graph?$
$The function $f$ is defined by $f(x)=(x+3)(x+1)$ . The graph of $f$ in the $xy$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?$
$$X+y=12$<br/><br/>$y=x^{2}$<br/><br/>If $(X,y)$ is a solution to the system of equations above, which of the following is a possible value of $x$?$
$An engineer wanted to identify the best angle for a cooling fan in an engine in order to get the greatest airflow. The engineer discovered that the function above models the airflow $\bm{f}(\bm{\theta})$, in cubic feet per minute, as a function of the angle of the fan $\bm{\theta}$, in degrees. According to the model, what angle, in degrees, gives the greatest airflow?$
$$$p=20+\frac{16}{n}$$<br/><br/>The given equation relates the numbers $p$ and $n$, where $n$ is not equal to $0$ and $p>20$. Which equation correctly expresses $n$ in terms of $p$?$
$$y=(x-2)(x+4)$<br/><br/>$y=6x-12\$<br/><br/>Which ordered pair $(x,y)$ is the solution to the given system of equations?$
$Which expression is equivalent to $6x^{8}y^{2}+12x^{2}y^{2}$?$
$$\frac{1}{7b}=\frac{11e}{y}$<br/><br/>The given equation relates the positive numbers $b$, $x$, and $y$. Which equation correctly expresses $x$ in terms of $b$ and $y$?$
$$\begin{tabular}{|c|c|} \hline<br/>\textbf{Time (years)} & \textbf{Total amount (dollars)} \\ \hline<br/>0 & 670.00 \\ \hline<br/>1 & 674.02 \\ \hline<br/>2 & 678.06 \\ \hline \end{tabular}$<br/><br/>Sara opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Sara opened the account and the total amount $d$, in dollars, in the account. If Sara made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $d$?$
$$$P(t)=290(1.04)^{(\frac{4}{6})t}$$<br/><br/>The function $P$ models the population, in thousands, of a certain city $t$ years after 2005. According to the model, the population is predicted to increase by $n\%$ every 18 months. What is the value of $n$?$
$Which of the following is equivalent to $2(x^{2}-x)+3(x^{2}-x)$?$
$In the $xy$-plane, the graph of $y=x^{2}-9$ intersects line $\rho$ at $(1,a)$ and $(5,b)$, where $a$ and $b$ are constants. What is the slope of line $\rho$ ?$
$Which expression is equivalent to $a\frac{\frac{11}{12}}{\sqrt[12]{a^{132}}}$, where $a>0$?<br/><br/>B. $sqrt[12]{a^{132}})$<br/><br/>C. $sqrt[12]{a^{132}})$<br/><br/>D. $sqrt[12]{a^{132}})$$
$## Abstract<br/><br/>In this thesis we present a new method for calculating the$
$\(M=1,800(1.02)^{t}\)$<br/><br/>The equation above models the number of members, $\(M\)$, of a gym $\(t\)$ years after the gym opens. Of the following, which equation models the number of members of the gym $\(q\)$ quarter years after the gym opens?<br/><br/>$\(M=1,800(1.02)^{\frac{q}{4}}\$

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When the quadratic function $\bm{f}$ is graphed in the $xy$-plane, where $\bm{y}=\bm{f}(\bm{x})$, its vertex is $(-3,6)$. One of the $x$-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other $x$-intercept of the graph?

Difficulty: Hard

Bookmark

A:

(-\frac{29}{4},0)

B:

(-\frac{7}{4},0)

C:

(\frac{5}{4},0)

D:

(\frac{17}{4},0)

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