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Anika
8 days ago
5

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

exponentially according to the model, P ( t ) = 466 ⋅ 1.035 t , where t t is the number of years since 1990. In what year is it predicted that 900 million passengers will travel by airline?
Mathematics
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Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6
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Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

We start with the equations:

{x}^{2} + {y}^{2} = 6

and

{x}^{2} - y = 6

Rearranging the second equation to make y the subject results in;

y = {x}^{2} - 6

Substituting into the first equation gives us:

{x}^{2} + ({x}^{2} - 6 )^2= 6

x = \pm \sqrt{6}

and x = \pm \sqrt{5}

The solutions remain as (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

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Last year the cost of a season ticket for a Rugby club was £370
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lawyer [12517]

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It is given that f(x) = \frac{1}{3}(x+2)

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Substituting f(x) and g(x) into equation (1):

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