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goblinko [34]
3 years ago
10

2x + y = 9 5x + 3y = 26

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

7X+4y=35

Step-by-step explanation:

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Suppose that an object is dropped from a height of
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8 0
3 years ago
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
A car is traveling at a rate of 81 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil
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3 years ago
The Bar Chart shows the weights of 10 dogs entered in a local dog show,
hammer [34]
Is there any picture ?
7 0
2 years ago
Help please and explain
tresset_1 [31]

Answer:

30 ft

Step-by-step explanation:

We can use ratios

3              6

------ = ------------

15            x

Using cross products

3x = 6*15

Divide each side by 3

3x/3 = 6*15/3

x = 30

5 0
3 years ago
Read 2 more answers
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