What is the solution to the equation x-5 =x+7? Justify your work mathematically. problems 15- 23, write vour answers directly on this sheet. Show your work to receive full credit. 16. The time it takes to travel somewhere is equivalent to the quotient of the distance traveled and the average rate traveled (distance + rate), Find the time, in hours, that it would take for a dolphin to travel a distance 4x +32 of 3 miles at a rate of x +13x+40 miles per hour. Justify your work mathematically and include the correct units in your answer. 6x -9 17. The speed of a passenger train is 14 mph faster than the speed freight train. The passenger train travels 400 miles is the same time it takes the freight train to travel 330 n What is the speed of each train? nger Train: cht Train: f intersection, in coordinate form, for the 18. Demonstrate the algebraic process for finding the point 15 y = x+3 following system of equations: y = x+1
What is the solution to the equation x-5 =x+7? Justify your work mathematically. problems 15- 23, write vour answers directly on this sheet. Show your work to receive full credit. 16. The time it takes to travel somewhere is equivalent to the quotient of the distance traveled and the average rate traveled (distance + rate), Find the time, in hours, that it would take for a dolphin to travel a distance 4x +32 of 3 miles at a rate of x +13x+40 miles per hour. Justify your work mathematically and include the correct units in your answer. 6x -9 17. The speed of a passenger train is 14 mph faster than the speed freight train. The passenger train travels 400 miles is the same time it takes the freight train to travel 330 n What is the speed of each train? nger Train: cht Train: f intersection, in coordinate form, for the 18. Demonstrate the algebraic process for finding the point 15 y = x+3 following system of equations: y = x+1
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 61SE: For the following exercise, create a system of linear equations to describe the behavior. Then,...
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Transcribed Image Text:problems 15– 23, write your answers directly on this sheet. Show your work to receive full credit.
What is the solution to the equation x-5 =x+7? Justify your work mathematically.
er.
ollowing
16. The time it takes to travel somewhere is equivalent to the quotient of the distance traveled and the average
rate traveled (distance + rate). Find the time, in hours, that it would take for a dolphin to travel a distance
4x+32
of
x* +13x+ 40
miles per hour. Justify your work mathematically and include
miles at a rate of
3
6x -9
the correct units in your answer.
freight train. The passenger train travels
What is the speed of each train?
17. The speed of a passenger train is 14 mph faster than the speed
400 miles is the same time it takes the freight train to travel 330 n
nger Train:
ght Train:
f intersection, in coordinate form, for the
15
y:
x+3
18. Demonstrate the algebraic process for finding the point
y = x+1
6
following system of equations:
7 0C
(in
9 0000
10 O000
11 O0
Transcribed Image Text:SS(x) =-x+2
lg(x)= Vx
After solving the system
19. Maria wants to solve the following system of equations
algebraically, Maria believes that the points (1,1) and (4,2) are the solutions.
a. Graph the two functions on the coordinate plane.
b. Identify any point(s) of intersections.
c. Explain why Maria's solution is (or is not) correct.
20. Sketch the rational function on the graph provided below. Use a dashed line to represent any asymptotes on
-3
the graph. f(x) =-
-2
x-1
For questions 21-23, use the graph to the right.
21. Find the domain of the graphed function.
10
22. Write the equations of the asymptotes.
-10
23. Describe the end behavior of the function.
-5-
10-
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