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3 years ago

-5X +1 92 - 321+13 - 12X Plz I need help

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer:

x= 116/17

Step-by-step explanation:

5x+192−321+13=−12x

Step 1: Simplify both sides of the equation.

5x+192−321+13=−12x

5x+192+−321+13=−12x

(5x)+(192+−321+13)=−12x(Combine Like Terms)

5x+−116=−12x

5x−116=−12x

Step 2: Add 12x to both sides.

5x−116+12x=−12x+12x

17x−116=0

Step 3: Add 116 to both sides.

17x−116+116=0+116

17x=116

Step 4: Divide both sides by 17.

17x/17=116/17

x = 116/17

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1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b)

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Answer:

a) The volume of the box is represented by $V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}$ .

b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Step-by-step explanation:

a) The volume of the box ( $V$ ), in cubic inches, is modelled by the equation for the cuboid:

$V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x$ (1)

Where $x$ is the side length of the cutted square corners, in inches.

$V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x$

$V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}$

The volume of the box is represented by $V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}$ .

b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.