Let
x-----------> is the <span>length of a prism
</span>y-----------> is the width of a prism
z-----------> is the height of a prism
<span>
we know that
[volume of a prism]=x*y*z------------> equation 1
x=2y-----------> equation 2
z=4+y---------> equation 3
V=48 m</span>³<span>
</span><span>I substitute 2 and 3 in 1
</span>V=x*y*z---------> V=(2y)*y*(4+y)--------> V=2y²*(4+y)
V=2y³+8y²-----------> 48=2y³+8y²---------> 2y³+8y²-48=0
the answer is
2y³+8y²-48=0 (<span>
polynomial function)
</span>
using a graph tool
see the attached figure
y=2 m
x=2y------->x=2*2-----> x=4 m
z=4+y-------> z=4+2-----> z=6 m
Answer:
In the mid-19th century, the quest for control of the West led to the annexation of Texas and the Mexican–American War. ... This expansion led to debates about the fate of slavery in the West, increasing tensions between the North and South that ultimately led to the collapse of American democracy and a brutal civil war.
Step-by-step explanation:
Answer:
Dimension: 2inches by 4 inches
Step-by-step explanation:
Given
Required
Determine the dimension.
This is calculated as :
So:
Substitute 72 for A
Divide bith sodes by 2
Take square root of both sides
Recall that:
Hence:
Hence, the dimension is: 2 by 3 inches
Looking at the graphs for each, I would say that the last choice fits in with f(x) on the left side
B 24 I the answer to your question