Answer:
the answer you will be looking for is g^2x - g^3x = -3
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
#1.
Here what you do is cross multiply.
#2.
Same as #1, just cross multiply.
You get the gist?
When we add or subtract polynomials, the addition or subtraction is applied to the coefficients of the terms of equal powers.
For the given polynomials, we are required to do subtraction as follows:
(-4.1 x^2 + 0.9 x - 9.8) - (1.7 x^2 - 2.4 x - 1.6)
= -4.1 x^2 + 0.9 x - 9.8 - 1.7 x^2 + 2.4 x + 1.6
= (-4.1-1.7) x^2 + (0.9+2.4) x + (-9.8+1.6)
= -5.8 x^2 + 3.3 x - 8.2
The final expression (solution) is:
-5.8 x^2 + 3.3 x - 8.2
The original volume of the balloon is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
V1 = (4/3) * (pi) * (1 ^ 3)
V1 = (4/3) * (pi) * (1)
Then, the volume of the current sphere is:
V2 = (4/3) * (pi) * ((1 + 2 * (1)) ^ 3)
V2 = (4/3) * (pi) * ((1 + 2) ^ 3)
V2 = (4/3) * (pi) * ((3) ^ 3)
V2 = (4/3) * (pi) * (27)
The relation of volumes is:
V2 / V1 = ((4/3) * (pi) * (27)) / ((4/3) * (pi) * (1))
V2 / V1 = 27/1
Answer:
The ratio of the current volume of the balloon to the original volume of the balloon is:
27: 1
