Answer:
and 
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:


To solve this, we first equate
and
to 0.
So, we have:


Factor out R in 

Split
or 
or 
Factor out W in 

Split
or 
Solve for R


Make R the subject


When
, we have:




Collect like terms

Solve for W




When
, we have:



Collect like terms

Solve for R


So, we have:

When
, we have:





So, we have:

Hence, the points of equilibrium are:
and 
Answer:
49π cm²
Step-by-step explanation:
Diameter (d) = 14 cm
Radius (r) = d/2 = 14/2 = 7 cm
Area of a circle
= πr²
= π × (7)²
= 49π cm²
Hope it helps ⚜
Answer: y = -5
Substitute in 3 for x.
x - y = 8 Substitution
3 - y = 8 Subtract 3 from both sides
-y = 5 Divide by -1 to both sides
y = -5 Answer!
You can also check your work.
x - y = 8
3 - (-5) = 8
3 + 5 = 8
8 = 8
Answer:
5 and 9/14
Step-by-step explanation:
convert the numbers into improper fractions
8/7 + 9/2
=
(8 × 2) + (9 × 7)
7 × 2
=
79/14 or 5 and 9/14