The simplified form of R(x) is 
<h3>Simplifying an expression </h3>
From the question, we are to simplify the expression
From the given information,

and

Also,

∴ 

Factoring each of the quadratics



Simplifying




Hence, the simplified form of R(x) is 
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Answer:
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount Jonathan paid for the belt = $ 35
Discount = 1/3 off the regular price
Coupon = additional 8% = 0.08
2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.
We assume the question is asking for the original price of the belt, then we make this calculation:
Amount Jonathan paid for the belt = (Original price - Discount) - Coupon
Replacing with the values we know:
Original price = x
35 = (x - 1/3x) - 0.08x
35 = 2/3x - 0.08x
35 = 0.67x - 0.08x
35 = 0.59x
x = 35/0.59
x = 59.32
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
The relation is a function.
Step-by-step explanation:
As there is only one y-value for every x-value, this is a function
Answer:
option D
D. x = 5, y = 2
Step-by-step explanation:
Given in the question two equation,
Equation 1
5.3x + y = 28.5
Equation 2
4.2x + 3.1y = 27.2
rearrange equation 1 in terms of y
y = 28.5 - 5.3x
Substitute the value of y in equation 2
<h3>4.2x + 3.1(28.5 - 5.3x) = 27.2</h3>
4.2x + 88.35 - 16.43x = 27.2
4.2x - 16.43x = 27.2 - 88.35
-12.23x = -61.15
x = 61.15/12.23
x = 5
put value of x in any of the equation
<h3>5.3(5) + y = 28.5</h3>
y = 28.5 - 26.5
y = 2
Answer:
4.8x4=19.2, and then 19.2/4=4.8 feet
Each side would be 4.8 feet