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Home
SAT
Math Section
Advanced Math

Set - 13

Premium Content

Chief Editor

Mar 23, 2024

0

Table of Contents

$$$f(x)=9(4)^{x}$$<br/><br/>The function $f$ is defined by the given equation. If $g(x)=f(x+2)$, which of the following equations defines the function $g$?$
$If a and c are positive numbers, which of the following is equivalent to $\sqrt{(a+c)^{3}\cdot\sqrt{a+c}}$?$
$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 $T$?$
$The function $f$ is defined by $f(x)=x^{3}+15$. What is the value of $f(2)$?$
$Kao measured the temperature of a cup of hot chocolate placed in a room with a constant temperature of 70 degrees Fahrenheit (${}^{\circ}$F). The temperature of the hot chocolate was 185${}^{\circ}$F at 6:00 p.m. when it started cooling. The temperature of the hot chocolate was 156${}^{\circ}$F at 6:05 p.m. and 135${}^{\circ}$F at 6:10 p.m. The hot chocolate's temperature continued to decrease. Of the following functions, which best models the temperature $T(m)$, in degrees Fahrenheit, of Kao's hot chocolate $m$ minutes after it started cooling?$
$$f(x)=(x+4)(x-1)(2x-3)$<br/><br/>The function $f$ is defined above. Which of the following is NOT an $x$-intercept of the graph of the function in the $xy$-plane?$
$Which expression is equivalent to $$8+d^{2}+37$)$
$Which of the following expressions is equivalent to $2(ab-3)+2$?$
$$p(t)=90,000(1.06)^{t}$<br/><br/>The given function $p$ models the population of Lowell $t$ years after a census. Which of the following functions best models the population of Lowell $m$ months after the census?$
$The population of a town is currently 50,000, and the population is estimated to increase each year by 3% from the previous year. Which of the following equations can be used to estimate the number of years, $t$, it will take for the population of the town to reach 60,000 ?$
$For the exponential function $\bm{f}$, the value of $\bm{f(1)}$ is $\bm{k}$, where $\bm{k}$ is a constant. Which of the following equivalent forms of the function $\bm{f}$ shows the value of $\bm{k}$ as the coefficient or the base?$
$An object is kicked from a platform. The equation $h=-4.9t^{2}+7t+9$ represents this situation, where $h$ is the height of the object above the ground, in meters, $t$ seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?$
$Which expression is equivalent to $9x+6x+2y+3y$?$
$$h(x)=-16x^{2}+100x+10\$<br/><br/>The quadratic function above models the height above the ground $h$, in feet, of a projectile $x$ seconds after it had been launched vertically. If $y=h(x)$ is graphed in the $xy$-plane, which of the following represents the real-life meaning of the positive $x$-intercept of the graph?$
$$y=x^{2}-1$<br/><br/>$y=3$<br/><br/>When the equations above are graphed in the $xy$-plane, what are the coordinates $x,\,y$ of the points of intersection of the two graphs?$

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$$f(x)=9(4)^{x}$$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

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A:

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

B:

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

C:

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

D:

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

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