From the statement given above, it can be deduced that the measure of the side of the figure is equal to 1 inch. Thus, the scale factor is 1:7. The ratio of their area should be 1:49. To get the area of the smallest figure, we simply divide the given area of the largest figure by 49, giving us the answer which is equal to 12 in².
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:
One solution is to find x and y by doing the following:
Step-by-step explanation:
Let's solve for x.
3x+2y=4
Step 1: Add -2y to both sides.
3x+2y+−2y=4+−2y
3x=−2y+4
Step 2: Divide both sides by 3.
x=-2/3y+4/3
Lets solve for y.
3x+2y=4
Step 1: Add -3x to both sides.
3x+2y+−3x=4+−3x
2y=−3x+4
Step 2: Divide both sides by 2.
y= -3/2x+2
Step-by-step explanation:
(1,1.5) is the solution but (12,4) is not the solution of given equation.
1.5=1/4×1+5/4(which is true)
4=1/4×12+5/4(which is false)
