Maricella solves for x in the equation 4x-2(3x-4)+4=-x+3(x+1)+1. She begins by adding –4 + 4 on the left side of the equation an
2 answers:
Maricella’s strategy is incorrect as the values added on the left and right side of the equation changes the original equation to
.
Further explanation:
Maricella begin by adding on the left side of the equation and
on the right side of the equation
.
The value added on the left is equal to zero so it does not change the equation but the value added on the right is 2, a non-zero digit so it changes the equation as shown below.
Therefore, the strategy used by Maricella will change the equation and so the solution of the equation will be incorrect.
One way of solving such a linear equation is by adding or subtracting the required value on each side of the equation. and then simplifying the further equation.
Similarly, the other way to solve any linear equation is by separating the variable terms on one side of the equation and constant terms on the other side of the equation.
After this simplify the linear equation to obtain the solution of the equation for .
Whereas Maricella’s strategy fails to solve the equation since the values added and subtracted in the equation changes the original equation completely.
Learn more:
1. Linear equation application brainly.com/question/2479097
2. To solve one variable linear equation brainly.com/question/1682776
3. Binomial and trinomial expression brainly.com/question/1394854
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Linear equation
Keywords: equation, linear equation, Maricella, right side, left side, strategy, solve for , adding, subtracting, variable, constant, solution of the equation, value, original equation, variable terms, constant terms.
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Answer:
a) attached below
b) ( T,T )
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d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )
while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )
Step-by-step explanation:
A) write down the game in matrix form
let: E = exit at the industry immediately
T = exit at the end of the quarter
N = exit at the end of the next quarter
matrix is attached below
B) weakly dominated strategies is ( T,T )
C) Find the pure-strategy Nash equilibria
The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )
D ) Find the unique mixed-strategy Nash equilibrium
The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )
while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE
Assume that P is the probability of firm 1 exiting immediately ( E )
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hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .
The expected utilities of E and N to firm 2 =
0 = 4p - 2q = 4p - 2 ( 1-p) = 6p -2 which means : p = 1/3 , q = 2/3
<h2>~<u>Solution</u> :-</h2>
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