3x-8=3(x-4)+1 plz plz help me fast is it infinite or no or one solution
2 answers:
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Answer:
Part 1) There are infinity locations for the point B
Part 2) see the explanation
Step-by-step explanation:
Part 1) How many possible locations are there for point B?
we know that
The equation of a line in point slope form is equal to
where
substitute
Convert to slope intercept form
Point B can be any point ( different from point A) that satisfies the linear equation
therefore
There are infinity locations for the point B
Part 2) Describes a method to location the point
To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate
Example
Suppose that the x-coordinate of point B is 4
For x=4
substitute in the linear equation
so
The coordinates of point B is (4,10.5)
For this case, we have to:
By definition, we know:
The domain of is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root. Thus, it will always be defined.
So, we have:
with
:
is defined.
with
is also defined.
has a domain from 0 to ∞.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
is not defined, the term inside the root is negative when
.
While if it is defined for
.
Answer:
Option b