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
Answer: I hope this helps!!!
Step-by-step explanation:
Phrase 1: 18j+10
Phrase 2: 2(9j+5)
You can use the properties of exponents in three ways: Products of Power and Power to Power
Explanation:
Product of a Power: When you multiply exponentials with the same base, you add their exponents
Power to a Power: When you have a power to a power, you multiply the exponents.
Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents.
Answer:
x=1/2
Step-by-step explanation:
Set up the equation: 2x-1=0
Add one to both sides. 2x=1
Divide two by both sides: x=1/2
Therefore, x =1/2, or .5