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3 years ago

8

use the leading coefficient and degree of the polynomial function f(x)=x^3-7x^2+10x to determine the end behaviour of its graph.

select all that apply

1 answer:

Masja [62]3 years ago

5 0

Answer:

The domain is all real numbers and the range is all real numbers as-well.

As x approaches infinity, so does y.

As x approaches -infinity, so does y.

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What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of

Rainbow [258]

Answer:

The answer to your question is the letter E. 50

Step-by-step explanation:

Data

height = ?

Width = 80 cm

Length = 40 cm

Volume = 160000 cm³

Formula

Volume of a rectangular prism = Width x length x height

Substitution

160000 = 80 x 40 x height

Solve for height

height = 160000 / 80 x 40

Simplification

height = 160000/ 3200

Result

height = 50 cm

4 0

3 years ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

=>the height h = 20/3

So the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 $in^{3}$

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3 years ago

Two customers went to a post office to buy posicaids and large enkelapes Fast posrcard

Setler [38]

The answer to this question is A $1.42 because the first customer paid $12 for 14 postcards

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3 years ago

What does 10.44 x 2.5 equal?

SSSSS [86.1K]

It is equal to 26 if you didn’t understand you can ask more questions and I’ll help

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3 years ago

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How do i Simplify: b^8 b^4

11Alexandr11 [23.1K]

It looks like they're multiplied, then you can simply add the exponents,

b⁸ * b⁴ = b⁸⁺⁴ = b¹²

remember, b⁸=b*b*b*b*b*b*b*b and b⁴=b*b*b*b

so b⁸ * b⁴ = b*b*b*b*b*b*b*b * b*b*b*b = b¹²

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3 years ago