Rearranging the first equation gives:
Substituting this into the other equation gives:
If x=-1:
So x=-1, y=-5
Substituting this into the other equation gives:
If x=-1:
So x=-1, y=-5
5. Janet has 5 marbles. She finds double that number of marbles in her art box. How many marbles does Janet have now?
2 answers:
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For this case we have a direct variation of the form:
Where,
- <em>k: proportionality constant </em>
We must find the value of k.
For this, we use the following data:
Therefore, replacing values we have:
Rewriting:
Clearing the value of k we have:
Therefore, the direct variation equation is given by:
Answer:
The quadratic variation equation for the relatonship is:
Given:
Vertex ===> (h, k) (2, 4)
The parabola passes through the point: (x, y) ==> (3, 6)
Let's find the equation of a parabola.
To find the equation, use the general equation of a parabola with vertex (h, k):
Where:
(h, k) ==> (2, 4)
(x, y) ==> (3, 6)
Substitute values into the general equation:
Subtract 4 from both sides:
Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:
Therefore, the equation of the parabola is:
ANSWER: