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$$f(x)=(x-10)(x+13)$$<br/><br/>The function $f$ is defined by the given equation. For what value of $x$ does $f(x)$ reach its minimum?

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**<br/><br/>**by + 15**<br/><br/>Which of the following is equivalent to the given expression?

MathAdvanced Math

Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 3 hours. How many cells per milliliter will there be 15 hours after the initial observation?

MathAdvanced Math

$h(x)=x^{2}-3$<br/><br/>Which table gives three values of $x$ and their corresponding values of $h(x)$ for the given function $h)$?<br/><br/>$\begin{tabular}{|c|c|c|c|c|} \hline $A$. & $x$ & $1$ & $2$ & $3$ \\ \hline $h(x)$ & $4$ & $5$ & $6$ \\ \hline $B$. & $x$ & $1$ & $2$ & $3$ \\ \hline $h(x)$ & $-2$ & $1$ & $6$ \\ \hline $C$. & $x$ & $1$

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Which expression is equivalent to $256w^{2}-6767$

MathAdvanced Math

The function $f$ is defined by $f(x)=5x^{2}$. What is the value of $f(8)$?

MathAdvanced Math

$y=x^{2}-1$<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?

MathAdvanced Math

$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?

MathAdvanced Math

Which expression is equivalent to $9x+6x+2y+3y$?

MathAdvanced Math

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?

MathAdvanced Math

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?

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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 ?

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$p(t)=90,000(1.06)^{t}$<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?

MathAdvanced Math

Which of the following expressions is equivalent to $2(ab-3)+2$?

MathAdvanced Math

Which expression is equivalent to $$8+d^{2}+37$)

MathAdvanced Math

$f(x)=(x+4)(x-1)(2x-3)$<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?

MathAdvanced Math

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?

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The function $f$ is defined by $f(x)=x^{3}+15$. What is the value of $f(2)$?

MathAdvanced Math

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 $T$?

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If a and c are positive numbers, which of the following is equivalent to $\sqrt{(a+c)^{3}\cdot\sqrt{a+c}}$?

MathAdvanced Math

$$f(x)=9(4)^{x}$$<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 $g$?

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$$64x^{2}+bx+25=0$$<br/><br/>In the given equation, $b$ is a constant. For which of the following values of $b$ will the equation have more than one real solution?

MathAdvanced Math

Which of the following is equivalent to $\sqrt[4]{x^{2}+8x+16}$, where $x>0$?

MathAdvanced Math

The function $f$ is defined by $f(x)=8\sqrt{x}$. For what value of $x$ does $f(x)=48$?

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**$y^{2}= 64$**<br/><br/>Which of the following values of $x$ satisfies the given equation?

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