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2 years ago

Evaluate the expression 4+−4√2+−1√ and write the result in the form a+bi.

Mathematics

1 answer:

castortr0y [4]2 years ago

8 0

In the expression, the real number a equals 12 and the real number b equals -16.

<h3>How to explain the information?</h3>

It should be noted that the expression given is:

= (4 - 2i)²

Therefore, we need to expand the expression. This will be:

= (4 - 2i)(4 - 2i)

= 16 -8i -8i + 4i²

= 16 -16i +4i²

Substitute -1 for i²

= 16 - 16i + 4(-1)

= 16 - 16i - 4

= 12 - 16i

Therefore, the value of the expression is 12 - 16i.

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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.

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What is the maximum number of possible extreme values for the function, f(x) = х2 -7x – 6?

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Only one extreme value of f(x) is possible.

Step-by-step explanation:

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3 years ago

What is the area of this polygon?

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Answer:

<h2>39 units</h2>

Solution,

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3 years ago

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Step-by-step explanation:

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A complete graph of the polynomial function f is provided. Use your knowledge of the domain, range, behavior at each x intercept

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The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

<h3>How to determine the equation?</h3>

From the graph, we have the following observations:

The graph has a turning point at x = 2
The graph changes the factor of its direction at x = -5

This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5

So, we have:

f(x) = a(x + 5)³(x - 2)²

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This means that a < 0

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f(x) = -(x + 5)³(x - 2)²

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