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Which expression is equivalent to $9{}^{2}$ + $7{}^{2}$ + $9{}^{2}$?

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$$g(x)=11\big{(}\frac{1}{12}\big{)}^{x}$$If the given function $g$ is graphed in the $xy$-plane, where $y=g(x)$, what is the $y$-intercept of the graph?

MathAdvanced Math

$\frac{x^{2}}{25}=36$What is a solution to the given equation?

MathAdvanced 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?

MathAdvanced 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 $ab$?

MathAdvanced Math

$x+7=10$$((x+7)^{2}=y$Which ordered pair $x,y$ is a solution to the given system of equations?

MathAdvanced Math

Which expression is equivalent to $\frac{y{+}12}{x{-}8}$?

MathAdvanced 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?

MathAdvanced 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?

MathAdvanced 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?

MathAdvanced 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?

MathAdvanced Math

Which expression is equivalent to $5x^{2}-50xy^{2}$?

MathAdvanced Math

The function $g$ is defined by $g(x)=x^{2}+9$. For which value of $x$ is $g(x)=25$?

MathAdvanced Math

The function $f$ is defined by $f(x)=270(0.1)^{x}$. What is the value of $f(0)$?

MathAdvanced 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 $xy$ $?

MathAdvanced 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 $g$?

MathAdvanced 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?

MathAdvanced 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

MathAdvanced 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 $\bm{f}$?

MathAdvanced 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?

MathAdvanced Math

Which of the following is$$\left(a+b\right)^{2}$$

MathAdvanced Math

Which of the following expressions is equivalent to $2a^{2}(a+3)$?

MathAdvanced 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

MathAdvanced 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?

MathAdvanced 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?

MathAdvanced Math