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

MathAdvanced Math

$\begin{array}{c}2\\ x-2\end{array}+\frac{3}{x+5}=\frac{rx+t}{(x-2)(x+5)}$ 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

$\begin{tabular}{|c|c|} \hline \textbf{Time (years)} & \textbf{Total amount (dollars)} \\ \hline 0 & 604.00 \\ \textbf{1} & 606.42 \\ 2 & 608.84 \\ \hline \end{tabular}$ 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?

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

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