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Which of the following is an equivalent form of $(1.5x-2.4)^{2}-(5.2x^{2}-6.4)$?\(

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$\begin{array}{c}2\\ x-2\end{array}+\frac{3}{x+5}=\frac{rx+t}{(x-2)(x+5)}$The equation above is true for all $x>2$, where $r$ and $t$ are positive constants. What is the value of $rt$ ?

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$f(x)=-500x^{2}+25,000x$The revenue $f(x)$, in dollars, that a company receives from sales of a product is given by the function $f$ above, where $x$ is the unit price, in dollars, of the product. The graph of $y=f(x)$ in the $xy$-plane intersects the $x$-axis at $0$ and $a$. What does $a$ represent?

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$S(n)=38,000a^{n}$The function $S$ above models the annual salary, in dollars, of an employee $n$ years after starting a job, where $a$ is a constant. If the employee's salary increases by 4% each year, what is the value of $a$ ?

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A machine launches a softball from ground level. The softball reaches a maximum height of 51.84 meters above the ground at 1.8 seconds and hits the ground at 3.6 seconds. Which equation represents the height above ground \(h\), in meters, of the softball \(t\) seconds after it is launched?

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A rectangular volleyball court has an area of 162 square meters. If the length of the court is twice the width, what is the width of the court, in meters?

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The function $f$ is defined by $f(x)=4+\sqrt{x}$. What is the value of $f(144)$?

MathAdvanced Math

$x^{2}+10x+25$If $x$ is a solution to the given equation, which of the following is a possible value of $x+5$ ?\(1\)\(2\)

MathAdvanced Math

$6r=7s+t$ The given equation relates the variables $r$, $s$, and $t$. Which equation correctly expresses $s$ in terms of $r$ and $t$?

MathAdvanced Math

Which of the following expressions is(are) a factor of $3x^{2}+20x-63$?I. $x-9$II. $3x-7$

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Which of the following expressions is equivalent to $\chi^{2}-5\)?

MathAdvanced Math

$(ax+3)(5x^{2}-bx+4)=20x^{3}-9x^{2}-2x+12)$The equation above is true for all $x)$, where $a)$ and $b)$ are constants. What is the value of $ab)$ ?

MathAdvanced Math

$\begin{tabular}{|c|c|} \hline\textbf{Time (years)} & \textbf{Total amount (dollars)} \\ \hline0 & 604.00 \\\textbf{1} & 606.42 \\2 & 608.84 \\ \hline \end{tabular}$Rosa opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Rosa opened the account and the total amount $n$, in dollars, in the account. If Rosa made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $n$?

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$(2x+5)^{2}-(x-2)+2(x+3)$Which of the following is equivalent to the expression above?

MathAdvanced Math

Which of the following is equivalent to the expression $\mbox{\boldmath${X}$}^{4}-\mbox{\boldmath${x}$}^{2}-6$?

MathAdvanced Math

$X-y=1$$X+y=\chi^{2}-3$Which ordered pair is a solution to the system of equations above?

MathAdvanced Math

The first term of a sequence is 9. Each term after the first is 4 times the preceding term. If $w$ represents the $n$th term of the sequence, which equation gives $w$ in terms of $n$?

MathAdvanced Math

$\[\bm{f}(\bm{x})=9,000(0.66)^{x}\]$The given function $f$ models the number of advertisements a company sent to its clients each year, where $\bm{x}$ represents the number of years since 1997, and $0\leq\bm{x}\leq 5$. If $y=\bm{f}(\bm{x})$ is graphed in the $xy$-plane, which of the following is the best interpretation of the $y$-intercept of the graph in this context?

MathAdvanced Math

$\[x^{2}-2x-9=0\]$One solution to the given equation can be written as $1+\sqrt{k}$, where $k$ is a constant. What is the value of $k$?

MathAdvanced Math

The function $\bm{f}$ is defined by $\bm{f}(\bm{x})=(-8)(2)^{2}+22$. What is the $y$-intercept of the graph of $\bm{y}=\bm{f}(\bm{x})$ in the xy-plane?

MathAdvanced Math

$h(x)=2(x-4)^{2}-32$The quadratic function $h$ is defined as shown. In the $xy$-plane, the graph of $y=h(x)$ intersects the $x$-axis at the points $(0,0)$ and $(f,0)$, where $t$ is a constant. What is the value of $t$?

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$\(x=49\)$$\(y=\sqrt{x}+9\)$The graphs of the given equations intersect at the point $\((x,y)\)$ in the $\(xy\)$-plane. What is the value of $\(y\)$?

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$\frac{8x(x-7)-3(x-7)}{2x-14}$, where $x>7$?

MathAdvanced Math

$\((x+5)+(2x-3)\)$Which of the following is equivalent to the given expression?

MathAdvanced Math

$\(\chi^{2}-\chi-1=0\)$What values satisfy the equation above?

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