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3 years ago

What is the largest rectangular area one can enclose with 14 inches of string?

1 answer:

5 0

A=w*h
p=2w+2h

if w=x, then h=7-x.
a(x) = x*(7-x)
a(x) = 7x - x^2

to find the largest area we need to derivative a(x):
a'(x) = 7 - 2x = 0 --> x = 3.5

therefore:
maxArea = a(3.5) = 3.5 * 3.5 = 12.25

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3 years ago

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3 years ago

O triplo de um número, menos 10 é igual ao próprio número mais 70. Qual é esse número?

marin [14]

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3 years ago

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For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

Ivanshal [37]

Answer:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

Step-by-step explanation:

We are given the function:

$\displaystlye F(x) = x^2 - 2x + 4$

And we want to find F(<em>b</em> + 3).

We can substitute:

$\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4$

Expand:

$\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4$

Rearrange:

$\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)$

Combine like terms. Hence:

$\displaystyle = b^2 +4b + 7$

In conclusion:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

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3 years ago

Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}

Misha Larkins [42]

Answer:

−2 ∉ {−6,−3,−5,−1}

Step-by-step explanation:

Given

Set = {−6,−3,−5,−1}

Element = -2

Required

The interpretation of the question is to state if -2 is an element of the given set or not

The first thing to do is to check through the set to count the number of occurrence of -2

Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0

This implies that -2 is not an element of the given set and this is represented by the symbol ∉

Hence:

−2 ∉ {−6,−3,−5,−1}

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2 years ago