Answer:
v = ± sqrt(6/5)
Step-by-step explanation:
v^2+2=8-4v^2
Add 4v^2 to each side
v^2+ 4v^2+2=8-4v^2+ 4v^2
5v^2 +2 = 8
Subtract 2 from each side
5v^2 +2-2 = 8-2
5 v^2 = 6
Divide each side by 5
5v^2 /5 = 6/5
v^2 = 6/5
Take the square root of each side
sqrt(v^2) = ± sqrt(6/5)
v = ± sqrt(6/5)
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.
The first part zeros of -2 means (x+2) and multiplicity 3 means (x+2)^3.
The second part zeros of 3 means (x-3) and multiplicity 1 means (x-3).
The third part f(0) = 120 means substituting x=0 into (x+2)^3*(x-3)*k =120
(0+2)^3*(0-3)*k = 120
-24k = 120
k = -5
Combining all three conditions, f(x)
= -5(x+2)^3*(x-3)
= -5(x^3 + 3*2*x^2 + 3*2*2*x + 2^3)(x-3)
= -5(x^4 + 6x^3 + 12x^2 + 8x - 3x^3 - 18x^2 - 36x - 24)
= -5(x^4 + 3x^3 - 6x^2 - 28x -24)
= -5x^4 - 15x^3 + 30x^2 + 140x + 120
I think it's 74 because 3 has the factor :1,3
53 has the factor: 53,1
73 has the factor:1 ,73
74 has the factor:1,74,2,37
The amount of days would be the independent variable and the ripeness of the fruit would be the dependent variable