Write the following rate as a simplified fraction 76 dogs to 48 cat
2 answers:
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Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form .
This results in .
Next, we <u>simplify the equation</u> to get .
<u>Factoring </u>the left side gives us .
Finally we <u>solve the equations</u>: and
.
This gives us x=1, and x=-15
Answer:
Yes, the relation is a function.
Step-by-step explanation:
Given:
The equation that represents the cost of riding a cab is given as:
Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.
The above equation represents a line as it is of the form which represents a line with constant slope.
Now, in order to plot this equation, we need at least two points.
Now, let , then
. So, (0, 3) is a point on the line.
Let , then
. So, (1, 3.75) is a point on the line.
Plot these two points on a graph and draw a line passing through these two points.
Now, for a relation to be a function, it should pass the vertical line test.
According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.
Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.
