Answer:
Option C - 420
Step-by-step explanation:
Given : Objective function, P, with the given constraints
Constraints,
To find : What is the maximum value
Solution :
First we plot the graph through the given constrains.
As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)
Refer the attached figure.
So, we put all the points in P to, get maximum value.
Therefore, The value is maximum 420 at (0,12)
So, Option C is correct.
Answer:
5^-4
1 / 5^4
Step-by-step explanation:
5^3 / 5^7
We know a^b / a^c = a^(b-c)
5^(3-7)
5^-4
If you are not allowed to have negative exponents
We know a^-b = 1/a^b
1 / 5^4
Answer:
The measurement of arc AD is 53°
The measurement of arc BC is 39°
Step-by-step explanation:
Let
x----> the measurement of arc AD
y---> the measurement of arc BC
we know that
The measure of the internal angle is the semi-sum of the arcs comprising it and its opposite
so
m∠DEA=(1/2)[x+y]
substitute the value
46°=(1/2)[x+y]
92°=[x+y] -----> equation A
The measurement of the external angle is the semi-difference of the arcs which comprises
m∠P=(1/2)[x-y]
substitute the value
14°=(1/2)[x-y]
28°=[x-y] -----> equation B
Adds equation A and equation B
92°+14°=2x
x=106°/2=53°
Find the value of y
substitute in the equation A the value of x
92°=[53°+y]
y=92°-53°=39°
Answer:
The unit rate is -1 store per year
Step-by-step explanation:
Let
x -----> the number of years since 1996
y ----> the number of video rental stores
we know that
The year 1996 represent x=0
so
2016 represent ----> x=2016-1996=10 years
we have the points
(0,10) and (10,1)
The unit rate is equal to the slope of the linear equation
<em>Find the slope m</em>
----> is negative because is a decreasing function
therefore
The unit rate is -1 store per year
An increase from 50 of 25 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).