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Maksim231197 [3]
1 year ago
11

Factor: x2-17x - 60*

Mathematics
1 answer:
fiasKO [112]1 year ago
6 0

Answer: (x + 20) (x - 3)

Step-by-step explanation:

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If F(x) = 9x, which of the following is the inverse of Fx)?
Arturiano [62]

Answer:

F⁻¹(x) = x/9

Step-by-step explanation:

To find the inverse of a function, you want to switch x and y in the equation and solve for y.

F(x) = 9x

x = 9F(x)

x/9 = F⁻¹(x)

Therefore, the inverse is F⁻¹(x) = x/9.

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2 years ago
Why is an elephant big gray and wrinkled
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It has to be like that.
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3 years ago
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

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2 years ago
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12
kirza4 [7]

Answer:

Step-by-step explanation:

12 X 36 = 432 Characters

6 0
3 years ago
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What is the third angle in a triangle with two angles of 60* and 45*
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The answer is 75° because all three angles of a triangle must add to 180°

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