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3 years ago

the dimensions shown are an approximation using these dimensions which is the approximate area of abc

Mathematics

1 answer:

yulyashka [42]3 years ago

7 0

What are the dimensions shown?

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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

Kayla notices that she can buy snacks and candy in bulk at the grocery store. The snacks she wants to buy cost $1.29 per kilogra

kykrilka [37]

Im sorry i dont see a question so Whats the question.

7 0

3 years ago

One week, Katie Hopper earned the following commissions: Monday, $124; Tuesday, $88; Wednesday, $62; Thursday, $137; Friday, $19

Verdich [7]

195+137+124+88+62=$606
This is the answer⬆️

6 0

3 years ago

Read 2 more answers

Marie and Whitney order eggs for $4.35, pancakes for $3.10, and 2 mugs of cocoa for $1.45 each. The tax is $0.85. How much chang

svetlana [45]

Answer:

$3.80

Step-by-step explanation:

$4.35+$3.10+$1.45+$1.45+$0.85=$11.20

$15.00-$11.20=$3.80

6 0

3 years ago

I have no idea what to do with this someone help

joja [24]

The given distance of 5.20 would be A.

Replace A with 5.20 to solve for T.

T = 5.20^3/2
T = 11.9 years.

4 0

3 years ago

Read 2 more answers