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lbvjy [14]
3 years ago
10

Can u help me ? slop liner equation

Mathematics
1 answer:
Sliva [168]3 years ago
8 0
Y=6x-14…................
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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
Name angle 2 in as many different ways as possible
Artist 52 [7]
Acute is one way struggling to find any more
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4 years ago
What is the probability of a blue jay being the next bird papa sees?
Elodia [21]

Answer:

Your question isn't clear

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Liza wants to have more than $750 in her
docker41 [41]

Answer:

x is equal to or greater than 38.

Step-by-step explanation:

use the equation 300+12x to find the amount of money in total dependent on x, the number of hours she worked.

8 0
3 years ago
Read 2 more answers
Solve 5x^3 - 3x^2 - 14x
Pie
<h3>I’ll teach you how to solve 5x^3 - 3x^2 - 14x</h3>

--------------------------------------------------------

5x^3 - 3x^2 - 14x

Factor out the common term x:

x(5x^2 - 3x 14)

Factor 5x^2 - 3x 14:

Break the expression into groups:

(5x62+7x)+(-10x-14)

Factor out x from 5x^2+7x:

x(5x+7)

Factor out -2 from -10x-14:

-2(5x+7)

x(5x+7)-2(5x+7)

Factor out the common term 5x+7:

(5x+7)(x-2)

x(x+7)(x-2)

Your Answer Is x(x+7)(x-2)

Plz mark me as brainliest :)

7 0
4 years ago
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