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3 years ago

11. GARDEN Emily calculates that the area of a flower garden is 28.125. She measured

Mathematics

1 answer:

Svetlanka [38]3 years ago

7 0

Answer:

A=28.13 Sq Ft

Step-by-step explanation:

Given that the length of the garden = 4.5 ft

Breadth of the garden = 6.25 ft

Area is given by the formula

A=length x breadth

A=4.5 x 6.25 sq ft

A= 28.125 sq ft

Here if we round the area to the nearest hundredth, the area will be

A=28.13 Sq Ft

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Step-by-step explanation:

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3 years ago

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:

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

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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I think the answer is either:

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Because 1 yard is 0.027778 inch. So it has to be a really small fraction.

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3 years ago

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Airida [17]

Answer:

(2)

Step-by-step explanation:

-3,2

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3 years ago