1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36
2) x-intercept => y = 0 => factor the function (start by dividing by x -2)
f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)
3) critical points:
between x = 2 and x = 3, there is a local maximum
between x =3 and x = 6 there is a local minimum
3) Shape.
The function comes growing from - infinity.
In the third quadrant the function is negative (it does not pass throuhg the second quadrant)
It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.
It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.
Answer:
Step-by-step explanation:
recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.
also recall that the formula to find the slope of a line is m=y2-y1/x2-x1
to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.
lets do the math now:
option a)
m=y2-y1/x2-x1
m=12-4/6-0
m=8/6
m=4/3
this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1
option b)
m=y2-y1/x2-x1
m=0-4/6-0
m=-4/6
m= -2/3
this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1
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ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.
toodles! :)
Answer:
(13.8,1.42) (18,3.7)(16.7,3.21) and so on REMEMBER ITS (X,Y)
Step-by-step explanation:
Answer:
$12
Step-by-step explanation:
36÷3=12
Each ticket costs $12
Answer:
no because
Step-by-step explanation:
the results were not tested enough
