which description best describes the solution to the following system of equations y= -2x +3 y= -x + 1
2 answers:
Answer:
The two systems will intercept at point x = 2, y=-1
Step-by-step explanation:
The solution of the two equations can be determined using substitution:
(1)
(2)
Substitue equation 1 into 2:
We obtain the equation in terms of x and simplify
Therefore x=2 we can substitute into equation 2
(2)
Therefore the systems will intercept at point (2,-1)
For this case we have the following system of equations:
Equating the values of y we have:
From here, we can clear the value of x.
We have then:
Then, we look for the value of y.
For this, we substitute x in any of the equations:
Answer:
The ordered pair solution of the system of equations, is given by:
Equating the values of y we have:
From here, we can clear the value of x.
We have then:
Then, we look for the value of y.
For this, we substitute x in any of the equations:
Answer:
The ordered pair solution of the system of equations, is given by:
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Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150
Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u><u><em></em></u>