MATH 110 EXAM 5 QUESTIONS AND
ANSWERS 100% SOLVED 2025
Jill would like to know why two lines with an undefined slope are parallel. How would
you respond? - ANSWERSA line with undefined slope is perpindicular to the x axis. Two
lines perpindicular to another line are parallel.
A student would like to know why it is impossible to find the slope of a vertical line. How
do you respond? - ANSWERSThe slope of a vertical line is undefined because division
by zero is impossible.
You have the choice of flipping a fair coin and winning a game when heads appear or
you can roll a single standard die and you win if an even number appears. Explain why
the choice of coin or die does not matter in regard to you winning. - ANSWERSIt does
not matter because both winning events have a probability of 1/2 to win.
Given the equations y=mx+b and y =nx+a, assuming the lines intersect in a single point,
finding the coordinates of this point involves setting the equations equal to eachother
and solving for x. Explain why. - ANSWERSThe x value found is in the xcoordinate of a
point common to both lines , so substituting x into the first equation and second will
result in the same y coordinate.
Explain why two lines with the same slope and different y intercepts are parallel. -
ANSWERSIf two distinct lines have the same slope m , but different y intercepts them
the equations are y=mx+b and y=mx+c for some real numbers b and C. Each will be a
vertical shift of the same line y =mx.
A student is not sure when to add and when to multiply probablities. How do you
respond? - ANSWERSYou multiply probablities when events are independent. You add
probablities when separate outcomes are part of the desired event.
A student claims that the equation 3x=5x has no solution because 3 does not equal 5.
How do you respond? - ANSWERSThe student is incorrect because the equation has
one solution. x=0
Input (x,y) ------- x+y--------- output
A student claims that the following machine does not represent a function machine
because it accepts two inputs at once rather a single input . How do you respond? -
ANSWERSThe student is incorrect. The ordered pair (x,y) is considered a single Input.
ANSWERS 100% SOLVED 2025
Jill would like to know why two lines with an undefined slope are parallel. How would
you respond? - ANSWERSA line with undefined slope is perpindicular to the x axis. Two
lines perpindicular to another line are parallel.
A student would like to know why it is impossible to find the slope of a vertical line. How
do you respond? - ANSWERSThe slope of a vertical line is undefined because division
by zero is impossible.
You have the choice of flipping a fair coin and winning a game when heads appear or
you can roll a single standard die and you win if an even number appears. Explain why
the choice of coin or die does not matter in regard to you winning. - ANSWERSIt does
not matter because both winning events have a probability of 1/2 to win.
Given the equations y=mx+b and y =nx+a, assuming the lines intersect in a single point,
finding the coordinates of this point involves setting the equations equal to eachother
and solving for x. Explain why. - ANSWERSThe x value found is in the xcoordinate of a
point common to both lines , so substituting x into the first equation and second will
result in the same y coordinate.
Explain why two lines with the same slope and different y intercepts are parallel. -
ANSWERSIf two distinct lines have the same slope m , but different y intercepts them
the equations are y=mx+b and y=mx+c for some real numbers b and C. Each will be a
vertical shift of the same line y =mx.
A student is not sure when to add and when to multiply probablities. How do you
respond? - ANSWERSYou multiply probablities when events are independent. You add
probablities when separate outcomes are part of the desired event.
A student claims that the equation 3x=5x has no solution because 3 does not equal 5.
How do you respond? - ANSWERSThe student is incorrect because the equation has
one solution. x=0
Input (x,y) ------- x+y--------- output
A student claims that the following machine does not represent a function machine
because it accepts two inputs at once rather a single input . How do you respond? -
ANSWERSThe student is incorrect. The ordered pair (x,y) is considered a single Input.
