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:
The answer is -1.
Step-by-step explanation:
You have to apply gradient formula :

So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :



Answer:
Step-by-step explanation:
To solve this, we are going to make an age table:
Age Now Age 10 years ago
Tanya
Elliot
Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:
Age Now Age 10 years ago
Tanya x
Elliot 2x
Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:
Age Now Age 10 years ago
Tanya x x - 10
Elliot 2x 2x - 10
Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:
10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:
2x - 10 = 4(x - 10) and
2x - 10 = 4x - 40 and
-2x = -30 so
x = 15. That means that Elliot is 30 and Tanya is 15
Answer:
-31
Step-by-step explanation:
hmmm
you go what is around parentheses but there as none so we'll just go with subtracting -9+-10 which will be which will be -19 then add and subtract -19 by 12 and thats -7
so asdd tho up and youll get -31
Answer:
T
Step-by-step explanation: