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3 years ago

What is the value of x?

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Answer:

x=30

Step-by-step explanation:

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What is the answer for the picture.

spin [16.1K]

Answer:

Step-by-step explanation:

40-36=4

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3 years ago

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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 x = 2 and x = 2i and f(-1) = 30.

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

Hence, we will have the three factors:

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

Where a 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

What is the correct answer??

Novay_Z [31]

Answer:

1/8

Step-by-step explanation:

4 0

2 years ago

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Alice earned $622.50 in interest on her savings in the bank. Before interest, the account had $12,450. What is the approximate p

Akimi4 [234]

Hi there

To find The interest rate the formula is
R=I÷pt
r interest rate?
I interest earned 622.5
P principle 12450
T time 1 year
So
R=622.5÷(12,450×1)
R=0.05×100=5%

Hope it helps

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3 years ago

4n-16=6 I need to solve this

mel-nik [20]

The answer is= n= 11/2 and in decimal it’s n=5.5
Explanation:
You first move the constant to the right
4n=16+6 you then calculate which will be 4n=22 and then you divide both sides

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3 years ago