Luigi and his family are discussing how to pay for his college
1 answer:
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There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
Answer:
y= -1*x +12
Step-by-step explanation:
x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.
Perpendicular Lines are those with the following condition:
y=a*x+b (1)
y=c*x+d (2)
Where a and c are the respective slope
If These two lines are perpendicular, then
a=- 1/c
Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)
Lets use the given point (5,7) in the equation (2)
7=-1 * 5 + d
resulting d=12
so, our equation for the line is y= -1*x +12
