Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
The system of equations is
x - 2y = 2 (1)
3x + y = 6 (2)
From (1), obtain
x = 2y + 2 (3)
Substitute (3) into (2).
3(2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
From (3), obtain
x = 2*0 + 2 = 2
Answer: (2, 0) or x=2, y=0
⇒To get the difference we subtract.

⇒To get the sum we add.

Goodluck!!
Answer

Step-by-step explanation:
The diagonals of kite KLMN meet at 90°
Since, LK and KN are congruent,
and
form a set of opposite congruent angles. Congruent angles are equal.
All interior angles of a kite add up to 180°, therefore:-

Using conditional probability, it is found that there is a 0.2857 = 28.57% probability that house A does not sell given that house B does not sell due to it's poor condition.
Conditional Probability
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem:
- Event A: House B does not sell.
- Event B: House A does not sell.
Home B has a 30% probability of selling, so a 100 - 30 = 70% probability of <u>not selling</u>, hence
.
20% probability that <u>none</u> sells, hence
.
Then, the conditional probability is:

0.2857 = 28.57% probability that house A does not sell given that house B does not sell due to it's poor condition.
A similar problem is given at brainly.com/question/14398287