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maw [93]
4 years ago
9

What is the standard form polynomial representing the volume of this shipping container?

Mathematics
1 answer:
liq [111]4 years ago
6 0

Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

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The sum of two numbers is 2490 and if 6.5 percent of one no. is equal to 8.5 percent of the other, then numbers are ?? Make sure
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Answer:

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490..... Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490..... Equation 1

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2.308y = 2490

y = 2490/2.308

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y = 1079

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x = 2490 - y

x = 2490 - 1079

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