Solve each equation for p. N=p-k/j
2 answers:
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Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
The function's minimum value is -2 at x = 1
Step-by-step explanation:
Given function is:
In order to find the maxima or minima of a function, first of all, we have to find the derivative of the function
So,
Taking derivatives on both sides
We have to find the roots of first derivative
So,
Taking second derivative
We can see that the second derivative of the function is a constant so the function has a minima at x=1
For minimum value, putting x = 1 in the function
The function's minimum value is -2 at x=1
Keywords: Functions, minimum value
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