Hello from MrBillDoesMath!
Answer:
8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )
Discussion:
Given
64v^3 + 192v^2 - 56 v - 168
Factor 64v^2 from the first two terms. Factor 56 from the last two terms:
64v^2(v+3) - 56(v + 3) => factor (v+3) from both terms
(v+3) (64v^2 - 56) => factor 8 from both terms in the right ()
8(v+3)(8v^2-7) => factor 8y^2-7
8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )
Thank you,
MrB
Answer:
Step-by-step explanation:
Let the two numbers be x and y
x = y - 5......(1)
2y = 3x.......(2)
Putting (1) into (2)
2y = 3(y - 5)
2y = 3y - 15
Collecting like terms
2y - 3y = -15
-y = -15
y = 15
Putting y = 15 in (1)
x = y - 5
x = 15 - 5
x = 60
The set of rational plus irrational numbers equals ALL REAL NUMBERS
Yes, it is a function because every x-value maps into only one y-value. In other words, because rational and irrational are mutually exclusive, x does not map into both 0 and 1
Domain is all real numbers.
Range is 0 or 1
y-intercept happens when x=0, so that is a rational number and y = 1
There are an infinite number of x-intercepts. Every irrational number is an x-intercept
Neither even or odd because it is not symmetric with either the y-axis or the origin.
The graph jumps between y=0 and y=1
Hope that helps Answer:
Step-by-step explanation:
Its either 1.14 or 0.87 Hope this helps!
