First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.
The sum

can be written as:

,
<span>
from the binomial expansion formula: </span>

.
<span>
Thus, substituting </span>y=-3x+18 and simplifying we have<span>
</span>



.
This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.
At x=5.4, the expression

, which is equivalent to

, takes it smallest value.
Substituting, we would find

=32.4 This is the smallest value of the expression.
For x=5.4, y=-3x+18=-3(5.4)+18=1.8.
Answer: (5.4, 1.8)
$32.58 x 20% (0.2) = 6.156
Just round it and you get $6.16
Answer:
Coefficient
Step-by-step explanation:
If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.
P=2l+2w
Since it is given that P=26m, length is 5 more than its width (w+5), we'll work it out in the perimeter formula.
26=2(w+5)+2w
26=2w+10+2w
26=4w+10
4w=26-10
4w=16
w=4
Thus the width is 4m. Let's find the length.
l=w+5
l=4+5
l=9
The length of a pen is 9m.