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alukav5142 [94]
3 years ago
13

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

f(x) = x^{3} - 5x^{2}   + 7x - 3

Step-by-step explanation:

If the polynomial has one root as 1 + i, it's conjugate 1 - i will also be its root.

Therefore, the polynomial has roots 1 + i, 1 - i, and 3.

So, the polynomial function of lowest degree with rational coefficients will be  

f (x) = (x - 3)(x - 1 - i)(x - 1 + i)  

⇒ f(x) = (x - 3)[ x^{2} - 2x + (1 + i)(1 - i)]

⇒f(x) = (x - 3)(x^{2} - 2x + 2)

⇒ f(x) = x^{3} - 5x^{2}   + 7x - 3 (Answer)

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Answer:

198 g

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Let y = the new weight

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after d days

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after 14 days,

the new born will weigh = 100 + (7 × 14) = 100 + 98 = 198 g

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Its super duper easy but im having some trouble<br> so can someone help me?
Klio2033 [76]

together = add

add the fractions

3 7/10 + 5 9/10

add the whole numbers first

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3 years ago
If x - y=5, x + y = 59, and x &gt; y, what is the value of xy?
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Answer:

864

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6 0
2 years ago
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Vivi is a drummer for a band. She burns 756 calories while drumming for 3 hours. She burns the same
german

The question you asked uses the concept of division, something that a bit tricky at first but gets easier as you master it!

So first let’s write and equation for your problem:

Let x = the amount of calories she burns each hour.

So we already know that Vivi was drumming for 3 hours, that she burned 756 calories, and that she burned the same amount of calories each hour.

Since she burned 756 calories in total, we know that the equation will have to equal 756:

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We also know that the answer will be 3(hours) times x(the amount of calories), so now we just plug it into the equation:

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Now all we have to do is simplify and you have your answer!

x = 252

And there you have it, Vivi burned 25 calories per hour!

Hope this helps! :)

6 0
2 years ago
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