-2 = 5x +3
5x = 3 + 2
5x = 5
x = 1
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Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
6.50 * 22.5 = 146.25 dollars
Answer: B) 0 real roots
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The general rule is...
if D > 0, then you have two different real roots (see note below)
If D = 0, then you have exactly one real root
If D < 0, then you have no real roots (the two roots are imaginary/complex)
where D is the discriminant found by the formula
D = b^2 - 4ac
Note: If D is also a perfect square, then the two real roots are also rational. This assuming that a,b,c are rational.
