This is an equation with no roots because there is no value of b which will make left side = right side.
X - 8 > -3
x - 8 + 8 > -3 + 8
x > 5
The answer is the third choice.
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)
Reorder the terms:
8.7 = -13.5 + 3.5m + 15m
Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m
Solving
8.7 = -13.5 + 18.5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m
Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5
Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7
Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7
Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2
Divide each side by '-18.5'.
m = 1.2
Simplifying
m = 1.2
m₁ = mass hanged initially = 0.2 kg
x₁ = initial stretch in the spring = 8 cm = 0.08 m
k = spring constant of the spring
the weight of the mass hanged is balanced by the spring force by the spring hence
Spring force = weight of mass hanged
k x₁ = m₁ g
k (0.08) = (0.2) (9.8)
k = 24.5 N/m
m₂ = mass hanged later = 0.5 kg
x₂ = final stretch in the spring = ?
k = spring constant of the spring = 24.5 N/m
the weight of the mass hanged is balanced by the spring force by the spring hence
Spring force = weight of mass hanged
k x₂ = m₂ g
(24.5) x₂ = (0.5) (9.8)
x₂ = 0.2 m = 20 cm
2x^2+3x-54 that’s the answer .
