Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
Answer:
Willy Wonka
Step-by-step explanation:
Given data
it takes Charlie 45 minutes walking at 2.5 km/hr
speed = distance /time
distance= speed*time
distance= 2.5*45
distance= 112.5 km
it takes Willy Wonka 15 minutes walking at 3.5 km/hr
distance= speed*time
distance= 3.5*15
distance= 52.5 km
Hence Willy Wonka stays closer
Actually, yes, it is possible for two different numbers to give the same result when squared.
In my last answer, I wrote that it wasn't, but I realize now where my mistake was made.
When a number like positive 4 is squared, the answer is 16. When a number like negative 4 is squared, the answer is also 16. I think that the only time when two different squared numbers have the same result is when they are the same number but have a different positive/negative sign.
I hope this helps.
Answer:
x=2/3, x=3/2
Step-by-step explanation:
6x^2-13x=-6
6x^2-13x+6=0
6x^2-4x-9x+6=0
2x*(3x-2)-3(3x-2)=0
(3x-2)8(2x-3)=0
3x-2=0
2x-3=0
x=2/3
x=3/2
Answer:
<u><em>the answer is 225cm3</em></u>