Answer:
The linear relationship ( the linear equation ):
y = m x + b ( the slope-intercept form )
m = ( 50.75 - 42.25 ) / ( 5 - 3 ) = 8.50 / 2 = 4.25 ( the slope )
42.25 = 4.25 * 3 + b
b = 42.25 - 12.75
b = 29.50
y = 4.25 * x + 29.50
Answer:
The initial value is : ( 0, 29.50 ) or 29.50.
The answer to your question is 4x-12
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
So the slope is:
Thus, the equation of the line is of the form:
We substitute one of the points and find "b":
Finally, the equation is:
Answer:
Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
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