John earns $11 an hour plus a 10% commission on every sale he makes. In one week, he worked 40 hours and made $1,300 in sales. W
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Answer:
Step-by-step explanation:
We want to find the equation of the parabola with a focus of and directrix
.
Considering the directrix, the quadratic graph must open downwards.
The equation of this parabola is given by the formula,
, where
is the vertex of the parabola.
The axis of this parabola meets the directrix at .
Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,
and
.
The equation of the parabola now becomes,
.
Also is the distance between the vertex and the directrix.
This implies that .
Since the parabola turns downwards,
.
Our equation now becomes,
.
.
We make y the subject to get,
.
This is the same as
.
Greetings!
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:
</span>
<span>Add -4 to both sides to isolate the variable.
</span>
<span>
Simplify.
</span>
Divide both sides by 2 to isolate the variable on one side.
Hope this helps.
-Benjamin
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:
</span>
<span>Add -4 to both sides to isolate the variable.
</span>
Simplify.
</span>
Divide both sides by 2 to isolate the variable on one side.
Hope this helps.
-Benjamin