If you knew that the vertical intercept for a straight line was 150 and that the slope of the line was 4, then the dependent var
1 answer:
Answer:
Value of the independent variable = 25
Step-by-step explanation:
y-intercept form of a straight line is represented by the equation,
y = mx + b
here y = dependent variable
m = slope
b = y intercept or vertical intercept
x = independent variable
In our question,
y-intercept 'b' = 150
slope of the line 'm' = 4
dependent variable y = 250
We will plug in these values in the equation of the line to get the value of the independent variable.
250 = 4x + 150
250 - 150 = 4x
x =
x = 25
Therefore, value of the independent variable is 25.
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Answer:
a) , b)
,
, c)
, d)
Step-by-step explanation:
a) Let derive the function:
is undefined when denominator equates to zero. The critical point is:
b) when numerator equates to zero. That is:
This equation shows two critical points:
,
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that corresponds to a local minimum. (See Attachment)
