Which graph can be used to find the solution(s) to 4x=-4x?
2 answers:
<h2>Answer:</h2>
The graph is shown in the Figure below
<h2>Step-by-step explanation:</h2>In this exercise, we have an equation. On the left side we have a straight line with slope and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is
. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point
.
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Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1. units
units
units
units, then
2. and
are right angles - given
3. two right angles are always congruent.
4. by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Answer:
The value of q that maximize the profit is q=200 units
Step-by-step explanation:
we know that
The profit is equal to the revenue minus the cost
we have
---> the revenue
---> the cost
The profit P(q) is equal to
substitute the given values
This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the value of q that maximize the profit
The y-coordinate of the vertex represent the maximum profit
using a graphing tool
Graph the quadratic equation
The vertex is the point (200,-120)
see the attached figure
therefore
The value of q that maximize the profit is q=200 units
