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:
Part a) The scale of the new blueprint is 
Part b) The width of the living room in the new blueprint is 
Step-by-step explanation:
we know that
The scale of the original blueprint is
and
the width of the living room on the original blueprint is 6 inches
so
<em>Find the actual width of the living room, using proportion</em>
<em>Find the actual length of the living room, using proportion</em>
<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room
simplify
<em>Find the width of the living room in the new blueprint, using proportion</em>
Answer:
True both are 28/15
Step-by-step explanation:
Simplify the following:
5 + 2/3 - (3 + 4/5)
Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:
5 + 2/3 - (5×3)/5 + 4/5
5×3 = 15:
5 + 2/3 - (15/5 + 4/5)
15/5 + 4/5 = (15 + 4)/5:
5 + 2/3 - (15 + 4)/5
15 + 4 = 19:
5 + 2/3 - 19/5
Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:
(15×5)/15 + (5×2)/15 + (3 (-19))/15
15×5 = 75:
75/15 + (5×2)/15 + (3 (-19))/15
5×2 = 10:
75/15 + 10/15 + (3 (-19))/15
3 (-19) = -57:
75/15 + 10/15 + (-57)/15
75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:
(75 + 10 - 57)/15
| 7 | 5
+ | 1 | 0
| 8 | 5:
(85 - 57)/15
| 7 | 15
| 8 | 5
- | 5 | 7
| 2 | 8:
Answer: 28/15
______________________________________
Simplify the following:
1 + 13/15
Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:
15/15 + 13/15
15/15 + 13/15 = (15 + 13)/15:
(15 + 13)/15
| 1 | 5
+ | 1 | 3
| 2 | 8:
Answer: 28/15
