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german
3 years ago
7

Multiply the polynomials

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

the fourth one is the answer

15x^5 + 12x^4

you multiply the coefficients and add the exponents

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1/4x +7=10 What is X?
Alex17521 [72]

Answer:

x=12

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Multiply both sides by 4.

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4 0
3 years ago
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Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be
MrRa [10]

Answer:

  • ength (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

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  • width(w): (10-2x)
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The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2x^{2}) (10-2x)

<=> V = 100x -20x^{2} - 20x^{2} + 4x^{3}

<=> V = 4x^{3}  - 40x^{2} + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12x^{2} -80x + 100

<=>  12x^{2} -80x + 100 =0

<=> x = 5 or x= 5/3  

You know 'x' cannot be 5 , because if  we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

  • length (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3
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we don't know what the value of "X" is, so therefore, we cannot conclude that it is 15 cm.

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