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Questions in mathematics

[Answered] $2+\frac{2}{5}=\frac{2 x-2}{15}

[Answered] The equation $y=4 x$ represents the relationship between time, $x$, and distance traveled, $y$. Which graph represents this relationship?

[Answered] \begin{tabular}{|l|l|l|} \hline 14. & $4.7 \times 10$ & \\ \hline 15. & $0.7 \times 5$ & \\ \hline 16. & $0.7 \times 6$ & \\ \hline 17. & $0.7 \times 8$ & \\ \hline 18. & $0.7 \times 9$ & \\ \hline 19. & $2 \times 1.3$ & \\ \hline 20. & $3 \times 1.3$ & \\ \hline 21. & $4 \times 1.3$ & \\ \hline 22. & $5 \times 1.3$ & \\ \hline \end{tabular}

[Answered] Solve: [tex]\frac{1}{3 a^2}-\frac{1}{a}=\frac{1}{6 a^2}[/tex]

[Answered] Function to identify key characteristics and sketch. g(x) = (x+2)(x-1)(x-3) 7. Identify the zeros of g(x) and state their multiplicities. 8. State the end behavior of g(x) as x increases without bound and as x decreases without bound. Give a reason to justify your answer. 9. Sketch a possible graph of g(x) using the zeros, multiplicities, and end behavior stated.

[Answered] What is 8 hundreds in thousands?

[Answered] The chart represents a data set's given values, predicted values (using a line of best fit for the data), and residual values. \begin{tabular}{|c|c|c|c|} \hline $x$ & Given & Predicted & Residual \\ \hline 1 & 6 & 7 & -1 \\ \hline 2 & 12 & 11 & 1 \\ \hline 3 & 13 & 15 & $g$ \\ \hline 4 & 20 & 19 & $h$ \\ \hline \end{tabular} Which are the missing residual values? A. $g=2$ and $h=-1$ B. $g=28$ and $h=39$ C. $g=-2$ and $h=1$ D. $g=-28$ and $h=-39$

[Answered] Rewrite in simplest rational exponent form $\sqrt{x} \cdot \sqrt[4]{x}$.

[Answered] Have vehicles gotten more fuel-efficient over the years? Between 1960 and 1999 the size and shape of automobiles in the United States has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The following table describes the average fuel consumption per year per passenger car in gallons of gasoline. \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Year, t & 1960 & 1970 & 1980 & 1990 & 1995 & 1997 & 1998 & 1999 \\ \hline \begin{tabular}{l} Gallons Consumed Per Passenger Car \end{tabular} & 668 & 760 & 576 & 520 & 530 & 538 & 544 & 552 \\ \hline & & & & & & & & \\ \end{tabular} Determine the average rate of change, in gallons of gas per year, from 1995 to 1997. a. [tex]\frac{\Delta t}{\Delta g}=-0.25[/tex] gal/year b. [tex]\frac{\Delta s}{\Delta g}=0.25[/tex] gal/year c. [tex]\frac{\Delta g}{\Delta l}=4[/tex] gal/year d. [tex]\frac{\Delta g}{\Delta s}=-4[/tex] gal/year

[Answered] Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. $1.25x + 1.49 = 100 What error did Barbara make in writing the equation? A. Barbara's equation did not consider the number of bottles of water. B. Barbara's equation did not use the correct price for the bottles of iced tea. C. Barbara's equation did not consider the number of bottles of iced tea. D. Barbara's equation did not use the correct total for sales.