9514 1404 393
Answer:
B. 3
Step-by-step explanation:
If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.
dy/dx = 3 at x = 4
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The derivative of the expression can be found from the quotient formula:
d(u/v) = (du·v -u·dv)/v²
y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2
= (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2
= (x^2 -4x +12)/(x -2)^2
= ((x -4)x +12)/(x -2)^2
Then for x=4, we have ...
y' = 12/4 = 3
dy/dx = 3 at x = 4
Answer:
horizontal translation 1 unit right and vertical translation 2 unit up
Step-by-step explanation:
we are given
We can see that in place x , we have x-1
So, it is shifted horizontally right side by 1 unit
We have +2 added to f(x)-value
It means 2 is added to y-value
So, it is shifted vertically upward by 2 units
So, horizontal translation 1 unit right and vertical translation 2 unit up
The equivalent equation is x - 4 = 0.
<h2>Linear system</h2>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
<h3>Simplification</h3>Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is .
The equivalent equation.
<h3>How to find the equivalent equation.</h3>The expression is .
On simplifying. we get
The equivalent equation is x - 4 = 0.
More about the linear system link is given below.
Answer:
c.
Step-by-step explanation:
Law of sines
=
A and B are angles.
a and b are sides opposite corresponding angles.