Answered

IDNLearn.com is your go-to resource for finding precise and accurate answers. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

Select the correct answer from each drop-down menu.

Gilbert is training for a bike race. As part of his training, he does practice rides on portions of the actual race course. Gilbert's first practice ride covers 5 miles of the course, and his second practice ride covers 9 miles of the course. Between these practice rides, he increases his average speed by 2 miles/hour.

These functions model the time it took Gilbert to do each practice ride, where [tex]$x$[/tex] is his speed during the first practice ride.

\begin{tabular}{|c|c|}
\hline Practice Ride 1 & Practice Ride 2 \\
\hline[tex]$a(x)=\frac{5}{x}$[/tex] & [tex]$b(x)=\frac{9}{x+2}$[/tex] \\
\hline
\end{tabular}

The denominator of the function that models practice ride 2 represents the [tex]$\square$[/tex] .
To find a function that models the total amount of time Gilbert spent doing practice rides on the race course, [tex]$\square$[/tex] the functions.

Sagot :

GinnyAnsweridn
To solve this problem, let's carefully consider the context and details given.

1. The function [tex]\(a(x) = \frac{5}{x}\)[/tex] represents the time Gilbert takes for the first practice ride, where [tex]\(x\)[/tex] is his speed in miles per hour during the first ride.
2. For the second practice ride, he increases his speed by 2 miles per hour. Thus, if he rides at speed [tex]\(x\)[/tex] during the first practice ride, his speed during the second practice ride would be [tex]\(x + 2\)[/tex]. The function for the second ride is [tex]\(b(x) = \frac{9}{x+2}\)[/tex].

Given this context, let’s break down the two tasks:

1. The first blank refers to the denominator of the function for the second practice ride, [tex]\(b(x) = \frac{9}{x+2}\)[/tex]:
- The denominator [tex]\(x + 2\)[/tex] represents Gilbert’s speed during the second practice ride.

2. The second blank refers to combining the two functions to get the total time:
- To model the total amount of time Gilbert spent on the practice rides, we need to add the times for each ride.
- Therefore, we combine the functions [tex]\(a(x)\)[/tex] and [tex]\(b(x)\)[/tex] by adding them.

Now we can fill in the blanks:

The denominator of the function that models practice ride 2 represents the speed during the second practice ride.

To find a function that models the total amount of time Gilbert spent doing practice rides on the race course, add the functions.
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.