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Which expression is equivalent to $9{}^{2}$ + $7{}^{2}$ + $9{}^{2}$?
Math
Advanced Math
$$g(x)=11\big{(}\frac{1}{12}\big{)}^{x}$$
If the given function $g$ is graphed in the $xy$-plane, where $y=g(x)$, what is the $y$-intercept of the graph?
Math
Advanced Math
$\frac{x^{2}}{25}=36$
What is a solution to the given equation?
Math
Advanced Math
$T=0.01(P-40,000)$
In a city, the property tax $T$, in dollars, is calculated using the formula above, where $P$ is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?
Math
Advanced Math
The function $\hat{h}$ is defined by $\hat{h}\left(x\right)=a^{x}+b$, where $\bar{a}$ and $\bar{b}$ are positive constants. The graph of $\hat{h}(x)$ in the $$xy$-plane$ passes through the points $(0,10)$ and $(-2,\ \frac{325}{36})$. What is the value of $ab$?
Math
Advanced Math
$x+7=10$
$((x+7)^{2}=y$
Which ordered pair $x,y$ is a solution to the given system of equations?
Math
Advanced Math
Which expression is equivalent to $\frac{y{+}12}{x{-}8}$?
Math
Advanced Math
The function $N$ defined above can be used to model the number of species of brachiopods at various ocean depths $d$, where $d$ is in hundreds of meters.
Which of the following does the model predict?
Math
Advanced Math
A model predicts that the population of Springfield was 15,000 in 2005. The model also predicts that each year for the next 5 years, the population $\bm{p}$ increased by 4% of the previous year's population. Which equation best represents this model, where $\bm{x}$ is the number of years after 2005, for $\bm{x}$ $\leq$ 5?
Math
Advanced Math
$h(t)=-16t^{2}+110t+72\$
The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number 72 represent in the function?
Math
Advanced Math
The function $\bm{f}(\bm{x})=206(1.034)^{x}$ models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where $\bm{x}$ is the number of years after 1957. Which of the following is the best interpretation of " $\bm{f}(5)$ is approximately equal to 243" in this context?
Math
Advanced Math
Which expression is equivalent to $5x^{2}-50xy^{2}$?
Math
Advanced Math
The function $g$ is defined by $g(x)=x^{2}+9$. For which value of $x$ is $g(x)=25$?
Math
Advanced Math
The function $f$ is defined by $f(x)=270(0.1)^{x}$. What is the value of $f(0)$?
Math
Advanced Math
$x^{2}=\theta x+y$ $
$y=-6x+36$ $
A solution to the given system of equations is $X,y$. Which of the following is a possible value of $xy$ $?
Math
Advanced Math
The function $f$ is defined by $f(x)=7x^{3}$. In the xy-plane, the graph of $y=g(x)$ is the result of shifting the graph of $y=f(x)$ down 2 units. Which equation defines function $g$?
Math
Advanced Math
The surface area of a cube is $\delta\left(\frac{a}{4}\right)^{2}$, where $a$ is a positive constant. Which of the following gives the perimeter of one face of the cube?
Math
Advanced Math
$$y=2x^{2}-21x+64$$ $$y=3x+a$$
In the given system of equations, $a$ is a constant. The graphs of the equations in the given system intersect at exactly one point, $(x,y)$, in the $xy$-plane. What is the value of $x$?
### $-8$
### $-6$
### $6$
Math
Advanced Math
Square P has a side length of $\bm{x}$ inches. Square Q has a perimeter that is $\bm{176}$ inches greater than the perimeter of square P. The function $\bm{f}$ gives the area of square Q, in square inches. Which of the following defines $\bm{f}$?
Math
Advanced Math
$$f(x)=x^{2}-18x-360$$
If the given function $f$ is graphed in the $xy$-plane, where $y=f(x)$, what is an $x$-intercept of the graph?
Math
Advanced Math
Which of the following is
$$\left(a+b\right)^{2}$$
Math
Advanced Math
Which of the following expressions is equivalent to $2a^{2}(a+3)$?
Math
Advanced Math
$$x-29=(x-a)(x-29)$$
Which of the following are solutions to the given equation, where $a$ is a constant and $a>30$?
I. $a$
II. $a+1$
III. 29
Math
Advanced Math
The number of bacteria in a liquid medium doubles every day. There are 44,000 bacteria in the liquid medium at the start of an observation. Which represents the number of bacteria, $y$, in the liquid medium $t$ days after the start of the observation?
Math
Advanced Math
$$D=T-\frac{9}{25}\left(100-H\right)$$
The formula above can be used to approximate the dew point $D$, in degrees Fahrenheit, given the temperature $T$, in degrees Fahrenheit, and the relative humidity of $H$ percent, where $H>50$. Which of the following expresses the relative humidity in terms of the temperature and the dew point?
Math
Advanced Math
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