Solving equations, difference between relation and function

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Find all real or imaginary solutions to each equation:
98. X - 1 = 2x - 3
X + 2 x + 4

Find exact and approximate solutions to each problem
106. One on one. Find two positive real numbers that differ by 1 and have a product of 1.

115. Decathlon champion. For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h = - 16t2 + 32t. (The elasticity of the pole converts the horizontal speed into vertical speed.) Find the value of t for which his height was 12 ft.

116. Time of flight. Using the information from Exercise 115 to determine how long Johnson was in the air. For how long was he more than 14 ft in the air?

Determine whether each relation is a function.
6. x2 = 1 + y2

Graph each relation and state its domain and range.
32. x = y2 - 1

Please see the attached file for detailed solution and graphs.

6. For a ...

Solution Summary

The solution is comprised of detailed explanations of the difference between relation and function. It also shows how to solve various equations in detail.

...Solve linear equations and formulas with emphasis on ... The detailed solution explains the difference between the ... by-step explanations on how to solve and graph ...

... Find the linear equation that expresses temperature in ... The detailed solution explains the difference between the ... by-step explanations on how to solve and graph ...

Explain the difference between a function and a relation. ... pairs, independent and dependent, or an equation that shows ... variable is unique in every solution pair ...

... 50 Solve each system ... Determine whether the equations are independent, dependent or inconsistent 2y = x + 6 ... sum of two numbers is -16 and their difference is 8 ...

... (2)- What is the difference between domain ... We can solve the equation and find out the values of the ... is always an equation, but not all equations are functions. ...

... 2. What is the difference between domain and range? ... We can solve the equation and find out the values ... is always an equation, but not all equations are functions...

... What similarities and differences do you see between functions and ... We can solve the equation and find out the ... an equation, but not all equations are functions. ...

... we get 12=6a, a=2. Therefore, the final equation is y ... we need to figure out the temperature difference: 130-70 ... The solution determines if a relation is a function...

... T and the height is the difference between the ... by the following supply and demand equations: Qs= 2P ... a. Solve for equilibrium price and the equilibrium quantity ...

... Of course, the difference becomes more attractive as the ... The other equations we derived for radioactive decay ... with suitable modifications, to solve for present ...