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3 years ago

Find the derivative of the function. f(x) = 2x + 6

Mathematics

1 answer:

lawyer [7]3 years ago

8 0

Hi there!

$\large\boxed{\text{ B. 2}}$

f(x) = 2x + 6

Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)

Differentiating a constant always equals 0.

Thus:

f'(x) = 2

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm The area of the rectangle is _sq. cm.

Harman [31]

Answer:

The area of rectangle is $2\frac{80}{81}\ cm^2$

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$P=7\frac{1}{3}\ cm=7+\frac{1}{3}=\frac{22}{3}\ cm$

$\frac{22}{3}=2(L+W)$

$\frac{11}{3}=(L+W)$ ----> equation A

Remember that

The length of a rectangle is twice its width.

$L=2W$ ----> equation B

substitute equation B in equation A

$\frac{11}{3}=(2W+W)$

solve for W

$W=\frac{11}{9}\ cm$

Find the value of L

$L=2(\frac{11}{9})$

$L=\frac{22}{9}\ cm$

<em>Find the area of rectangle</em>

$A=LW$

substitute the values

$A=(\frac{22}{9})(\frac{11}{9})$

$A=\frac{242}{81}\ cm^2$

Convert to mixed number

$\frac{242}{81}\ cm^2=\frac{162}{81}+\frac{80}{81}=2\frac{80}{81}\ cm^2$

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3 years ago

Regular polygons have an even number of sides

harkovskaia [24]

No, all regular polygons does not have even number of sides.
Suppose, heptagon which is a regular polygon which has 7 sides.
But, all the sides of any regular polygon are equal in length.

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Robert is purchasing some packs of chicken from the supermarket. The first pack weighs 45 ounces. The second pack weighs 3 pound

Dmitry [639]

Answer: 3 pounds

Step-by-step explanation:

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Answer:

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I hope I can help you :)

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