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Mekhanik [1.2K]
3 years ago
8

Suzie just became a personal trainer and is finalizing her pricing plans. One plan is to charge $59 for the initial consultation

and then $86 per session. Another plan is to charge $63 for the consultation and $84 per session. Suzie realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

2 sessions, $231

Step-by-step explanation:

Make an equation (let x represent the number of sessions)

59+86x=63+84x

Subtract 84x from both sides

59+2x=63

Subtract 59 from both sides

2x=4

Divide by 2

x=2

At 2 sessions they will be equal

To find the cost, substitute 2 in for x

59+86(2)=63+84(2)

59+172=63+168

231=231

So, at 2 sessions the plans will cost the same at $231

Hope this helps! :)

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zimovet [89]

Answer:

1. 73

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1. 30+43=73

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Answer:

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Step-by-step explanation:

We need to find inverse of the quadratic function f(x) = x^2 - 3

Let

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Replace x and y

x=y^2-3

Now, we will solve for y

Adding 3 on both sides

x+3=y^2-3+3

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f^{-1}(x)=\pm \sqrt{x+3}

So, the inverse of the quadratic function f(x) = x^2 - 3  is \mathbf{f^{-1}(x)=\pm \sqrt{x+3}}

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