Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
We are given the relationship:
[tex]7r+4t=14[/tex]a. It's required to find a relationship where r is a function of t. To do that, we need to solve the equation for r.
Subtract 4t:
[tex]7r=14-4t[/tex]Divide by 7:
[tex]r=\frac{14-4t}{7}[/tex]b. We use the function found in part a and evaluate it for t=-7:
[tex]\begin{gathered} r=\frac{14-4\cdot(-7)}{7} \\ \text{Operating:} \\ r=\frac{14+28}{7}=\frac{42}{7}=6 \end{gathered}[/tex]Thus, f(-7) = 6
c. Solve f(t) = 18
Again, we use the function from part a and solve the equation:
[tex]\frac{14-4t}{7}=18[/tex]Multiplying by 7:
[tex]\begin{gathered} 14-4t=7\cdot18 \\ 14-4t=126 \end{gathered}[/tex]Subtract 14 and then divide by -4:
[tex]\begin{gathered} -4t=126-14 \\ -4t=112 \\ t=\frac{112}{-4}=-28 \end{gathered}[/tex]t = -28
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
