Keiko has a total of $5200
x is the amount of money in larger account
y is the amount of money in smaller account
x - y = $900
and x + y = $5200
<u>This creates two simultaneous equations:</u>
x - y = $900 ... (i)
x + y = $5200 ... (ii)
Adding (i) and (ii) :
2x = $6100 , x = $3050
y = x - $900 = $3050 - $900 = $2150
The amount of money in larger account (x) = $3050
The amount of money in smaller account (y) = $2150
From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.
<h3>What is the remainder of the division of the given polynomial?</h3>
The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.
The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).
Given the following division, f(x)/ x + 2
We can rewrite the binomial in this form:
x + 2 = x - (-2)
The division then becomes:
f(x)/ x - (-2)
From the remainder theorem, the remainder will be -2.
Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2
Learn more about remainder theorem at: brainly.com/question/13328536
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Answer:
f(x) = 2.25x + 5 is the answer
Step-by-step explanation:
Students who like action movies: 3/4 x 2/3 = 1/2 of the fifth grade class students
Students who like comedies: 1/2 x 4/5 = 2/5 of the fifth grade class students
