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:
Step-by-step explanation:
write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88
Answer:

Step-by-step explanation:
Equation: 
1).
→
2).
∴ 
3). 

4). now plug
into 


5). Minimum (0,-5) ∴ 
Answer:
n=6
Step-by-step explanation:
12-6=6
28% decrease
Solution:
Calculate percentage change
from V1 = 25 to V2 = 18
(V2−V1)|V1|×100
=(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease