Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
Answer:
0.06
Step-by-step explanation:
Answer:
trapezoid, because the figure has exactly one pair of parallel sides.
Step-by-step explanation:
A) 324
I divided 240 by 20 to get how much it would cost per kg. For each KG the cost is $12. So then I multiplied 12 by what was asked of you (27) which lead me to the answer of 324.
B) 512
Same concept as A. Divide to get how much gasoline is used per mile. That was 4 miles per 1 gas. Multiply 4 by whatever you have been asked for (128). That leads you to 512.
C) 648
Same concept as above.
D) 5,445
Answer:
a=1
Step-by-step explanation:
2a + 3(a + 1) = 8
Distribute
2a +3a +3 = 8
Combine like terms
5a +3 =8
Subtract 3 from each side
5a+3-3=8-3
5a = 5
Divide by 5
5a/5 = 5/5
a=1
