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Maksim231197 [3]
2 years ago
7

Question 1. Chose the quadrilaterals that have the following property! * 1 point This geometry shape has 4 sides. Quadrilateral

Square Rhombus Triangle Kite Circle
Mathematics
1 answer:
Alex Ar [27]2 years ago
4 0

Answer:

quadrilateral

Step-by-step explanation:

A 4-sided polygon is a <em>quadrilateral</em>.

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As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x −
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Answer:

The company will break even at x=1 and x=4.

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The given profit function is

P(x)=-x^4-2x^3+21x^2+22x-40

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Use synthetic division or long division to find the factors of the function.

P(x)=(x-1)(x^3+3x^2-18x-40)

P(x)=(x-1)(x+2)(x^2+x-20)

P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)

Equate P(x)=0, to find the break even points.

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Use zero product property and equate each factor equal to zero.

x=4,1,-2,-5

Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.

The higher degree of the function is even and the leading coefficient is negative. So,

P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty

P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty

Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).

Therefore the company faces huge loss when the number of commercials increases unboundly.

The graph of the function is given below.

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