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Eduardwww [97]
2 years ago
6

An open box of maximum volume is to be made from a square piece of material 24 cm on a side by cutting equal squares from the co

rners and turning up the sides (see figure).
a. Write volume V as a function of x, the length of the corner squares.







b. What is the domain of the function?

​
Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer:

V = x(24 - x)^2 cm^3.

Domain = (0, 24).

Step-by-step explanation:

a. Let the lengths of the sides of the squares be x cm.

Then the lengths of the sides of the base of the box will be  (24 - 2x) cm.

The height of the box will be x cm.

So the required volume

= height * area of base

So V = x(24 - x)^2

b. The domain of this function is (0, 24).

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6x - 2y = 5
laiz [17]

Answer:

The given system has NO SOLUTION.

Step-by-step explanation:

Here, the given system of equation is:

6 x -  2 y = 5     .......... (1)

3 x  - y = 10          .... (2)

Multiply equation 2 with (-2), we get:

3 x  - y = 10     ( x -2)

⇒  - 6 x + 2 y = - 20

Now, ADD this to equation (1) , we get:

6 x - 2 y  - 6 x + 2 y  = 5 - 20

or, 0 = - 15

WHICH IS NOT POSSIBLE as 0 ≠ -15

Hence, the given system has NO SOLUTION.

7 0
2 years ago
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30,
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Answer:

A and X

Step-by-step explanation:

Got it right on edge-nuity

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2 years ago
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This spring it rained a total of 11.5 inches. This was 3 inches less than last spring. Write and solve an equation to find the a
inna [77]

Answer:

11.5-3= 8.5

Step-by-step explanation:

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2 years ago
How many planes contain each line and point?
nikitadnepr [17]

There are infinite many planes that contain each line and point

<h3>How to determine the number of planes?</h3>

The given parameters are given as:

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As a general rule, a line and a point can be used to draw as many planes as possible

This means that there are infinite many planes possible

Hence, there are infinite many planes that contain each line and point

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May I please receive help?
GrogVix [38]

Answer:

24°

Step-by-step explanation:

(4y-4)+(180-52)+3y = 180°

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SO ∠x = 3y

∠x = 3(8)

∠x = 24

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