<span>f(x)=5x+3/6x+7
This means that f(6/x) = [</span>5(6/x)+3] / [6(6/x)+7] = [ 30/x +3 ] / [36/x +7]
If we assume x≠0 , f(6/x) = [30 +3x]/ [36 + 7x]
g(x)=√<span> [ x^2-4x ]
</span>
g(x-4) = √ [ (x-4)^2-4(x-4) ] = √ [ x² -8x +16 -4x +16 ] = √ [ x^2-12x +32]
Answer:
x = i, mult 2; x = -i, mult 2
Step-by-step explanation:
First let's make a substitution to make this easier to factor.
Let u² = x⁴ and
u = x²
Now we can rewrite the polynomial as
u² +2u + 1 = 0
This factors easily into
(u + 1)(u + 1) = 0
By the Zero Product Property, either
u + 1 = 0 or u + 1 = 0
Putting back the x²:
x² + 1 = 0 or x² + 1 = 0
For the first one, even though they are the same:
x² = -1 so
x = ±√-1
Since that is not "allowed", we make the replacement of -1 = i²:
x = ±√i² so
x = ±i
For the second one, we need not repeat the whole process, but we find 2 more identical roots:
x = ±i
That means that the factors are
(x + i)(x - i)(x + i)(x - i) = 0
x = i, multiplicity 2 and
x = -i, multiplicity 2
Answer:
37
Step-by-step explanation:
x = 1st number
y = 2st number
z = 3rd number
x + y + z = 235
y = x + 15
z = 8x
x + x + 15 + 8x = 235
10x = 220
x = 22
y = 37
z = 176
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
Answer:
408.7 in^2
Step-by-step explanation:
If you want to know how to find the area of a regular octagon by hand, the easiest procedure is to apply the standard formula for the area of a regular polygon. The formula is the following:
area of regular polygon = perimeter * apothem / 2,
where the apothem is the distance for the center of the polygon to the mid-point of a side. The perimeter can be calculated a few ways: by summing up the length of each side, multiplying the length of one side by the number of sides.