M is directly proportional to r cubed when r = 4, m = 160. Find the value of r when m = 540
1 answer:
Answer:
r = 6
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 proportionality
To find k use the condition r = 4 when M = 160
k = =
= 2.5, so
M = 2.5r³ ← equation of proportionality
When M = 540, then
540 = 2.5 r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
r = = 6
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a. F(x)=10x-1 , the value of F(-2) is
F(-2)=10(-2)-1
f(-2)= -20-1
f(-2)= -21
b. g(x)= -5x+13 , the value of g(1)
g(1)= -5(1)+13
g(1)= -5+13
g(1)= 8 or +8
c. h(x)=-x-12 , the value of h(3) is
h(3)=-3-12
h(3)=9-3-12
h(3)= -6
Step-by-step explanation: