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3 years ago

2b−6= −4 what is b

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

2b - 6 = -4

2b = -4 + 6

2b = 2

b = 2/2

b = 1

olya-2409 [2.1K]3 years ago

6 0

Answer:

B=1

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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<u>Solution</u> :

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A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

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We have to find the height h and base length b of the box to maximize the volume of box.

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Differentiate w. r.t b

$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

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$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

$h=\frac{18-6}{2\sqrt{6}}$

$h=\frac{12}{2\sqrt{6}}$

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Step-by-step explanation:

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2b−6= −4 what is b​

2b−6= −4 what is b