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Complete Question
Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?
a) 2x + 1
b) 4x + 2
c) 4x + 6
d) 20x + 6
Answer:
b) 4x + 2
Step-by-step explanation:
The Formula for the Perimeter of a Rectangle = 2(L + W)
= 2L + 2W
Hence:
For rectangle ABCD
Length = 2x - 3
Width = 4x + 5
Hence, the Perimeter is :
P = 2L + 2W
P = 2(2x - 3) + 2(4x + 5)
P = 4x - 6 + 8x + 10
P = 4x + 8x -6 + 10
P = 12x + 4
For Rectangle PQRS
Length = x - 1
Width = 3x + 2
Hence, the Perimeter is :
P = 2L + 2W
P = 2(x - 1) + 2(3x + 2)
P = 2x - 2 + 6x + 4
P = 2x + 6x - 2 + 4
P = 8x + 2
The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is
Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS
(12x + 4) - (8x + 2)
12x + 4 - 8x - 2
12x - 8x +4 -2
4x + 2
Option b) 4x + 2 is the correct option.
Answer:
x = -2 , x = - 4
Step-by-step explanation:
since the function has been factored, you can just set the factors to zero and solve
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
378 feet
Its to long to explain but thats the answer
Answer:
Order of operations
Step-by-step explanation:
4 must be squared before multiplying by 5 because of order of operations (PEMDAS). PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. 4 squared is an example of an exponent and multiplying by 5 is an example of multiplication. Therefore 4 squared must come first.
When 4 is squared first, you will get an answer of 80.
When you multiply by 5 first, you will get an answer of 400.