A number minus one is at the most nine, or two times the number is at least twenty-four.
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = = 6
Answer:
No, -1/3 is not a solution
Step-by-step explanation:
See if it is a solution by plugging in -1/3 as v and seeing if the equation is correct:
9v - 2 = 3v
9(-1/3) - 2 = 3(-1/3)
-3 - 2 = -1
-5 = -1
-5 -1
So, since the equation is incorrect, -1/3 is not a solution.