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Vitek1552 [10]
3 years ago
15

Write the explicit formula for an arithmetic formula whose tenth term is 75.

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

Many solutions including t(n) = 7n +5

Step-by-step explanation:

Explicit Formula form: t(n) = mn + b

We know that t(10) = 75

So, 75 = m(10) + b

Now there are many solutions you can come up with here to make the equation true as you have 2 undefined variables. Examples:

  1. t(n) = 7n + 5 => t(10) = 7(10) +5 => t(10) = 70 + 5 = 75
  2. t(n) = 2n + 55 => t(10) = 2(10) + 55 => t(10) = 20 + 55 = 75

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Answer:

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Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

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Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

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