The table below shows the height of a ball [tex]$x$[/tex] seconds after being kicked.

\begin{tabular}{|c|c|}
\hline Time(seconds) & Height (feet) \
\hline 0 & 0 \
\hline 0.5 & 35 \
\hline 1 & 65 \
\hline 1.5 & 85 \
\hline 2 & 95 \
\hline 2.5 & 100 \
\hline 3 & 95 \
\hline
\end{tabular}

What values, rounded to the nearest whole number, complete the quadratic regression equation that models the data?
[tex]$f(x)=\square x^2+\square x+0$[/tex]

Based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds?
[tex]$\square$[/tex] feet

Question

The table below shows the height of a ball [tex]$x$[/tex] seconds after being kicked. 
 
\begin{tabular}{|c|c|} 
\hline Time(seconds) &amp; Height (feet) \ 
\hline 0 &amp; 0 \ 
\hline 0.5 &amp; 35 \ 
\hline 1 &amp; 65 \ 
\hline 1.5 &amp; 85 \ 
\hline 2 &amp; 95 \ 
\hline 2.5 &amp; 100 \ 
\hline 3 &amp; 95 \ 
\hline 
\end{tabular} 
 
What values, rounded to the nearest whole number, complete the quadratic regression equation that models the data? 
[tex]$f(x)=\square x^2+\square x+0$[/tex] 
 
Based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds? 
[tex]$\square$[/tex] feet

repraiseds · Answer

6.5% ;

kamil · Answer

48.75 / 750 = 0.065 0.065 * 100% = 6.5% 
 Check: 750 * 6.5% = 750 * 6.5/100 = 750 * 65/1000 = 48750/1000 = 48.75

kamil · Answer

The sales tax rate on a $750 computer, given a sales tax of $48.75, is 6.5%. This was calculated by dividing the sales tax amount by the cost of the item and then converting the result to a percentage. The calculation is confirmed to be accurate. 
 ;

Answer (3)

Related Questions in Mathematics

[Answered] Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Answered] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Answered] What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Answered] The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

[Answered] If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]