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Vesnalui [34]
2 years ago
5

Select the correct location on the graph. (in screenshot)

Mathematics
1 answer:
Hitman42 [59]2 years ago
3 0

The solutions are given by the intersections of the graphs, we conclude that the negative solution for x is x = -2.

<h3>Which point represents a negative solution for x?</h3>

Here we have a system of equations graphed, each graph (red and blue ones) represents each side of the given equation:

The red one represents the right side, while the blue one represents the left side.

Then, the solutions are all of these points where the two graphs intersect (meaning that both equations have the same value in that point).

Then, the negative solution for x is given by the intersection in the left side of the vertical axis, which happens at x = -2, so we conclude that the negative solution for x is x = -2

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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4 0
3 years ago
A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

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3 years ago
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Answer:

20

Step-by-step explanation:

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