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Free_Kalibri [48]
3 years ago
9

An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box

and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

Or

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

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Solve the equation for x by graphing -2x + 3 = -3(-x) - 2
adoni [48]

Answer:

  x = 1

Step-by-step explanation:

There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.

__

Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.

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A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...

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So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.

6 0
3 years ago
Tony made 2 fruit pies. After his family ate some of each pie, 13 of one pie remained and 56 of the other pie remained. About ho
omeli [17]

Answer:

<h2>There remains 7/6 of pie.</h2>

Step-by-step explanation:

Givens

The remaining parts are 1/3 of one pie and 5/6 of the other pie.

To find how much pie is remaining, we just need to sum those fractions.

\frac{1}{3}+\frac{5}{6}=\frac{6+15}{18} =\frac{21}{18} =\frac{7}{6}

Therefore, there remains 7/6 of pie. They ate just 1/6.

4 0
3 years ago
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² F
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Step-by-step explanation:

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ELEN [110]

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8 0
3 years ago
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Find the common ratio of the geometric sequence: 4,3,9/4
Inessa05 [86]

Answer:

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so the common ratio will be

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Hope this helps you.

4 0
3 years ago
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