For the following system, use the second equation to make a substitution for y in the first equation. 2 x + y = 5 y + 3 = 2 x
2 answers:
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Answer:
Step-by-step explanation:
Ir order to find the value of n in the given linear equation: you have to perform the properties of equalities to obtain an equivalent equation.
You have to perform these properties in each side of the equation.
Applying the subtraction property (which is the subtraction of the same number to each side of the equation):
Adding to each side:
This way you can obtain the value of n
Solving the subtraction of the fractions and simplifying:
Answer:
a) 40, 50, 55, 57.5
b)
Step-by-step explanation:
h₀ = Initial height of the ball =20
r = Rebound fraction = 0.5
a) The series of bouncing balls is given by
Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)
S₁=h₀+2h₀r¹=20+2×20×0.5=40
S₂=h₀+2h₀(r¹+r²)=20+2×20×(0.5+0.5²)=50
S₃=h₀+2h₀(r¹+r²+r³)=20+2×20×(0.5+0.5²+0.5³)=55
S₄=h₀+2h₀(r¹+r²+r³+r⁴)=20+2×20×(0.5+0.5²+0.5³+0.5⁴)=57.5
b) General expression for the nth term of the sequence