A restaurant noted what type of food its customers purchased last week. Here are the results:
1 answer:
Answer:
No, they are not mutually exclusive because a customer can purchase a burger and fries together.
Step-by-step explanation:
Mutually exclusive events are events that cannot occur at the same time, e.g. I cannot sleep while running. In the case of a restaurant, you could consider purchasing pizza and burgers as mutually exclusive since most people would only purchase one of them (unless they eat a lot). But burgers and fries are not mutually exclusive because people can purchase them together.
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is the equation of the line that is perpendicular to this line and passes through the point (6, -2)
y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)
<em><u>Solution:</u></em>
<em><u>Given that line is:</u></em>
y = 7x - 9
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + b ------ eqn 1
Where, "m" is the slope of line and "b" is the y intercept
On comparing eqn 1 with y = 7x - 9 we get,
m = 7
<h3><u>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</u></h3>We know that,
Product of slope of a line and slope of line perpendicular to given is always -1
Therefore,
Now find the equation of line:
Thus the equation of line perpendicular to given line is found
<h3><u>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</u></h3>Slopes of parallel lines are equal
Therefore, m = 7
<em><u>Substitute m = 7 and (x, y) = (6, -2) in eqn 1</u></em>
-2 = 7(6) + b
-2 = 42 + b
b = -44
<em><u>Substitute m = 7 and b = -44 in eqn 1</u></em>
y = 7x - 44
Thus equation of line parallel to given line is found
x = 0, x = , x = -
since we have a product of factors equal to zero, equate each factor to zero and solve for x
x² = 0 ⇒ x = 0 ( multiplicity 2 )
5x - 7 = 0 ⇒ x =
3x + 2 = 0 ⇒ x = -