I believe the answer is yes because, the product will be always more than one. When anyone converts a improper fraction the decimal value is always more than ONE. therefore the fractions added/multiplied with each the answer will be more than 1...<span />
1/(x+3) = 7/(4x+12) - 2
1/(x+3) = 7/(4(x+3)) - 2
1/z = 7/(4z) - 2 ..... let z = x+3
4z*[1/z] = 4z*[7/(4z) - 2]
4 = 7 - 8z
4-7 = 7 - 8z - 7
-3 = -8z
-8z = -3
-8z/(-8) = -3/(-8)
z = 3/8
x+3 = 3/8 .... replace z with x+3
x+3-3 = 3/8 - 3
x = 3/8 - 24/8
x = (3-24)/8
x = -21/8
The final answer, as a fraction, is x = -21/8
If you want the answer in decimal form, then using a calculator we can say -21/8 = -2.625
Ok, this definition of f is just a bunch of points (4 to be exact).
so if point (a,b) is part of f, then f(a)=b
f(1) is about point (1,0), so f(1)=0.
g(1) = 1 (due to point (1,1))
g(2/3) = 0
f(2) = 3/4
g(-2) = 3
f(π) = -2
just a lookup once you see what is happening
You just have to simply plug 6 in for x. The answer is 268435456
Multiplicity of a polynomial means how many times a particular number is a zero for a given polynomial.
In the given polynomial :
The roots of the equation can be found by taking the factor =0.
x+2=0 or x=-2
x-4=0
or x=4
x+1=0
or x=-1
The roots of the polynomial are -2,4,-1.
The powers of the root denotes the multiplicity of the polynomial.
The root -2 occurs 2 times ,4 occurs once ,-1 occurs 3 times.
So we say :–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3.
Option A is the right option.