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marin [14]
3 years ago
15

Express the radical using the imaginary unit, i.

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

±3i

Step-by-step explanation:

Given the value ±√-9, we are to express the value using the imaginary number 'I'

±√-9 = ±√9×-1

= ±√9 × √-1

In complex number, √-1 = i

The expression becomes;

±√9 = ±3 × i

±√9 = ±3i

Hence the value in simplified form is ±3i

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3 years ago
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
What perfect square that is between 1 and 100 has 27 as one of its factors?
lesya692 [45]
81 because 81 is a perfect square and 27 times 3 =81
7 0
3 years ago
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