math116 concept check
math116 concept check
CSU - Dominguez hills
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This 0 page Study Guide was uploaded by smartwriter Notetaker on Monday November 16, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 16 views.
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Date Created: 11/16/15
Week Two Concept Check CheckPoint 1 The system have ALL REAL SOLUTIONS when the final step you got TRUE statement like this 2X3y 6 4X6y 12 Solve this system What is the solution of the system We see if I times 2 both sides of first equation gt it become 4X6y12 so now i subtract this from second equation I got 4X4X 6y6y 1212 00 TRUE STATEMENT This is ALWAYS TRUE FOR ANY VALUE of X and Y So we conclude ALL REAL NUMBERS 2 For no real solution when final step we get FALSE STATEMENT 2x4y6 4X 8 8y find solution Solve second equation we have 4X 8 8y 4X 8y 8 add 8 and add 8y both sides Now times 2 both sides for first equation I have 4X8y 12 We have a new system 4X8y 12 4X 8y 8 Now subtract both sides 4X4X8y8y 128 4 04 is a FALSE STATEMENT So FALSE STATEMENT we conclude the system NO REAL SOLUTION Week 4 Concept Check On a Cartesian graph X 4 is a vertical line because the slope of the line is undefined The slope of a line is quotthe change in y divided by the change in Xquot Since X never changes the formula for finding the slope results in a division by zero All lines with an undefined slope are vertical lines Week 6 concept check After putting the equations of two lines into the y mX b equation the m represents the slopes of the lines To determine if two lines are perpendicular multiply their m values or slopes together and look at the product If the product is anything else but 1 the lines are not perpendicular Week 8 concept check The graph of the interval 410 is a horizontal line with its left endpoint at 4 and its right endpoint at 10 The quotquot indicates that 4 is included in the interval we represent this by drawing a heavy dot at the left endpoint 4 The quotquot indicates that 10 is included in the interval we represent this by drawing a heavy dot at the right endpoint 10
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