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alex41 [277]
4 years ago
13

Write an exponential model given the two points (6,120) and (7,230)

Mathematics
2 answers:
Andrews [41]4 years ago
8 0

Answer:

hhhhhhh

Step-by-step explanation:

marissa [1.9K]4 years ago
4 0

Answer:

  f(x) = 120(23/12)^(x-6)

Step-by-step explanation:

One way to write the model is ...

  f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))

Filling in the given numbers, this is ...

  f(x) = 120·(230/120)^((x-6)/(7-6))

  f(x) = 120(23/12)^(x-6)

__

<em>Comment on this model</em>

This could be written in the form ...

  f(x) = a·e^(bx)

but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.

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Each student receives one of 4 calculator models and one of 3 types of ruler. How many possible outcomes are there if a student
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Answer:

24 possible outcomes

Step-by-step explanation:

Combination has to do with selection. For example, if r object is selected from a pool of n objects, the number if possible ways can be expressed according to the combination formula:

nCr = n!/(n-r)!r!

Applying this in question, if each student receives one of 4 calculator models and one of 3 types of ruler, the number of ways this can be done is:

4C1 × 3C1

4C1 = 4!/(4-1)!1! {If a student gets one calculator)

4C1 = 4×3×2/3×2

4C1 = 4ways

3C1 = 3!/(3-2)!1! {If a student gets a ruler}

3C1 = 3×2/1

3C1 = 6ways

Total number of possible outcomes if a student gets one ruler and one calculator will be 4×6 = 24ways

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Answer:

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Step-by-step explanation:

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