Answer:
B. y = 2x + 3
Step-by-step explanation:
did it on edge 2020
By the definition of inverse function,the point (a,b) lies on the graph So, (b,a) must be lies on the graph of .
Given:
Point (a,b) lies on the graph y= f(x).
Find:
The graph of must contain that point.
As per the definition of inverse function, if two one-to-one functions f(x) and g(x). If (f∘g)(x)=x and (g∘f)(x)=x. Then, we say that f(x) and g(x) are inverses of each other.
Then, its inverse is defined as
Therefore, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.
Thus, the point (a,b) lies on the graph So, (b,a) must be lies on the graph of .
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Given:
Point (a,b) lies on the graph .
To find:
The point which is must be lies on the graph of .
Solution:
According to the definition of an inverse function, if a function is defined as
then, its inverse is defined as
It means, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.
We have a point (a,b) lies on the graph . So, (b,a) must be lies on the graph of .
Therefore, the correct option is (1).
7x+2y=5 i need it right
The exponent in the number Jerome writes will be anywhere between 6 to 7.
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Jerome is writing a number in scientific notation.
Let's suppose the number is x
The number x is greater than one million and less than ten million.
In scientific notation:
We can say that from the above inequality that the exponent of the number will be between 6 to 7.
Thus, the exponent in the number Jerome writes will be anywhere between 6 to 7.
Learn more about the inequality here:
One million: 10^6
Ten million: 10^7
So the exponent will be anywhere between 6 and 7, inclusive
The equation 3.4|0.5x – 42.1| = –20.6 will have one solution.
The equation = 0 will have no solutions.
The equation |2x – 10| = –20 will have two solutions.
The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.
The equation = 5 will have infinitely many solutions.
Using a graph tool
Let's proceed to analyze each case
case a) The equation will have two solutions
Is true
The solutions are
see the attached figure N
case b) The equation will have one solution
Is False
The equation has no solution
The term
always will be positive
case c) Is not a equation
case d) The equation will have two solutions.
Is False
The equation has no solution
The term
always will be positive
case e) The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.
Is True
The left side of the equation always will be greater than or equal to
case f) The equation = 5 will have infinitely many solutions.
Is not a equation
therefore
the answer is
case a) and case e) are true