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Sedbober [7]
2 years ago
11

Someone help please!!

Mathematics
1 answer:
aev [14]2 years ago
6 0

Answer:

you got this

Step-by-step explanation:

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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
Im so lost im in algebra 1 and i feel so slow
Andrei [34K]

Answer:

Hey but you get better at in no time lol

Step-by-step explanation:

no need to worry

7 0
2 years ago
What is 1 + 1<br>if the answer is 2 then why is it 2​
maks197457 [2]

Answer:

because 1+1 adds up to 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Evaluate 5(x - 1) - 2 when x = 3.<br> O A. -4<br> Ос.<br> O D.O
12345 [234]

Answer:

8

Step-by-step explanation

First you have to plug in 3 for x:

5(3-1)-2

Then using PEMDAS you would simplify that:

5(2)-2

10-2

8

4 0
3 years ago
What is the better buy?
White raven [17]

Answer: Option B is the cheaper deal (the 12 batteries for $14.76)

===========================================================

Explanation:

For the first deal we can say

3 batteries = 4.80 dollars

3/3 batteries = 4.80/3 dollars .... divide both sides by 3

1 battery = 1.60 dollars

The unit price for the first deal is $1.60 per battery.

----------------------------------

For the second deal we could say

12 batteries = 14.76 dollars

12/12 batteries = 14.76/12 dollars .... divide both sides by 12

1 battery = 1.23 dollars

The unit price for the first deal is $1.23 per battery.

This is the cheaper deal.

----------------------------------

So in short, you're dividing the total cost over the number of items to get the unit price.

4 0
3 years ago
Read 2 more answers
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