Which of the sets of ordered pairs represents a function?
2 answers:
Answer:
The correct option is 4. Neither A nor B represents a function.
Step-by-step explanation:
The given sets of ordered pairs are
A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.
In set A the value of y-coordinates are -5 and 7 at .
At x=8, there exist more than one value of y, so the set A is not a function.
In set B the value of y-coordinates are -4 and -2 at .
At x=7, there exist more than one value of y, so the set B is not a function.
Therefore neither A nor B represents a function and option 4 is correct.
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Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - ← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.
Using proportions, the value of x that makes the triangle similar is of x = 14.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:
Applying cross multiplication:
6x = 12 x 7
x = 2 x 7
x = 14.
The value of x that makes the triangle similar is of x = 14.
More can be learned about proportions at brainly.com/question/24372153
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