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lys-0071 [83]
3 years ago
5

Six less than three times a number is eighteen. What is the number?

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer: 6-3x=18

Step-by-step explanation: You just have to read what the question says for example Six less than three times a number is 6-3x=18

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(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
This circle graph shows the type of condiments people used on their hamburgers.What percentage of people used relish?
erastova [34]
The answer is C; 25% use relish
7 0
3 years ago
Please help with this, Thank You.
Dmitry [639]

Answer:

x = 12

Step-by-step explanation:

3x + 9 = 5x - 15

2x = 24

x = 12

4 0
2 years ago
(-1,2),(3,6),(7,18),(11,54) linear or not linear
pentagon [3]

Answer:

           Linear

Dk if your asking for all or not

3 0
3 years ago
What are the constants in the expression below? Check all that apply.
AlexFokin [52]
Constants are numbers alone with no variables.

The constants are: 12, -3.7, 1/3
4 0
3 years ago
Read 2 more answers
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