Learning Materials
Features
Discover
Chapter 2: Problem 26
Rearrange each linear equation into slope-intercept form, \(y=m x+b\). \(3 y-4 x-1=8 x-2 y\)
Over 30 million students worldwide already upgrade their learning with 91影视!
These are the key concepts you need to understand to accurately answer the question.
All the tools & learning materials you need for study success - in one app.
Get started for free
Kiyoshi spent \(\$ 8\) at the farmer's market. She bought only mandarin oranges, which are \(\$ 0.40\) each, and nectarines, which are \(\$ 0.80\) each. a. Is the relationship between the number of mandarin oranges, m, and the number of nectarines, n, an inverse variation? Explain. b. Write an equation for the relationship between m and n.
In Exercises 1鈥�4, make a conjecture about whether the relationship between \(x\) and \(y\) is linear, quadratic, or neither. Explain how you decided. $$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} & {5} & {6} & {7} \\ \hline y & {-1} & {4} & {15} & {32} & {55} & {84} & {119} \\\ \hline\end{array}$$
In Exercises \(15-17\) , decide whether the conjecture is true or false. Try to give a convincing proof of the conjectures that are true. For false conjectures, give a counterexample. The square of every even number is a multiple of 4.
Decide whether the relationship is an inverse variation. If it isn鈥檛, tell what type of relationship it is. \(s=\frac{6 t}{8}\)
Sports A place kicker on a football team attempted three field goals during a game. All three were kicked from the opponent's 40 -yard line, which is 50 yards from the goalpost. For a field goal to count, it must clear the crossbar, which is 10 feet high. The football followed a different path through the air for each kick. These equations give the height of the kick in feet, \(h\) , for any distance from the kicker in yards, \(d .\) Each kick was aimed directly at the center of the goalpost. Kick \(1 : h=3.56 d-0.079 d^{2}\) Kick \(2 : h=1.4 d-0.0246 d^{2}\) Kick \(3 : h=2 d-0.033 d^{2}\) a. For each kick, plot enough points to draw a smooth curve. Plot all three graphs on the same axes and label them Kick \(1,\) Kick \(2,\) and Kick \(3 .\) Put distance from the kicker, from 0 to 70 yards, on the horizontal axis. Put height, from 0 to 50 feet, on the vertical axis. b. Use your graphs to estimate the maximum height of each kick. c. Use your graphs to estimate how many yards each kick traveled over the field before it struck the ground. d. To make a field goal, the football must cross over the goalpost. That means it must be at least 10 feet high when it reaches the post, which is 50 yards from the kicker. Use your graphs to estimate whether any of the kicks could have scored a field goal. Explain your reasoning.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine