Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25
2 answers:
Answer:
The required expression is
Step-by-step explanation:
The difference of squares formula is given by
We have been given that one factor is 2x+5. Hence, a = 2x, b = 5
It means that other factor must be (a-b) = (2x-5)
Hence, in order to find the expression, we can multiply the factors.
Using the difference of squares formula
Therefore, the required expression is
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<u>Solution-</u>
The company purchased a new computer for $1500 and chooses to depreciate using the straight-line method for 5 years.
a-
As the value is depreciating, so its slope will be -ve.
( ∵ The value of 1500 will depreciate in 5 years )
y-intercept = 1500 ( ∵ At the beginning when x=0, y=1500)
Linear equation of the system,
y = mx +c ,
where,
m = slope = -300,
c = y-intercept = 1500
Putting the values,
b-
The implied domain of the function is 1≤x≤5 or [1,5]
c-
Follow the attachment attached herewith for the graph.
d-
Here,
y = the value of the computer
.
x = number of years depreciated = 3
Putting the values in the linear equation,
y = 1500-300(3) = 1500-900 = 600
∴ The book value of the computer after 3 years is $600.
e-
Here given that,
y = value of computer = 1600
x = asked = ??
Putting the values in the equation,
1600 = 1500 - 300x
⇒ 100= -300x
⇒ x= -3
∴ As the x is in negative, i.e it is impossible for the computer to be worth of 1600. It happens also because as the value is depreciating, it will always be less than 1500.
