1 and 24
2 and 12
3 and 8
4 and 6
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
So you cant have a decimal in your divisor which means the problem sill become 18215/7 if that helps
The answer is y = -2/3x + 2
Answer:
f(-3) =16
Step-by-step explanation:
f(x) = -5x + 1
f(-3) means let x=-3
Substituting x=-3 into the equation
f(-3) = -5 (-3) +1
Multiplying -5 and -3
f(-3) = 15+1
f(-3) =16