The measure of angle KNL is 102.
Answer:
Step-by-step explanation:
We know that the break even point is the point where the cost and the revenue equations intersect. So the break even point in this situation is:
C= R
<=> 20/3x+50 = 10x (with x > 0 and x is a whole number)
<=> 
-50x -20 = 0
<=> x ≈ 5
If the company sells more than 5 items, it will have benefit
If the company sells less than 5 items, it will lose
Answer:
+15
Step-by-step explanation:
An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.
__
<em>Additional comment</em>
If units are dimes, then the number would be +150. So, you see, <em>the units are important </em>to know.
It also depends on <em>what is increasing</em> and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.
The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2
<u>Step-by-step explanation:</u>
Step 1:
Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2
This implies that this solution should satisfy the given linear equations.
Step 2:
Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.
System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS
System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS
Therefore, the first system of linear equations satisfy the condition.
Answer:
a) 
, 
, 
b) 
, 
, 
Step-by-step explanation:
We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then 
.
a) 
from the power rule.
.
From the previous parts and the chain rule, 
b) 
from the power and sum rules.
Then, 
