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MAXImum [283]
2 years ago
9

An exponential function contains the points (1, 0.9) and

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
8 0

Answer:

Hi,

Step-by-step explanation:

Let's say y=a*b^x the equation of the exponential function.

0.9=a*b^1 (1)

1.62=a*b² (2)

(2)/(1) ==> b=1.62/0.9=1.8

and

0.9=a*1.8 ==> a=0.5

<u></u>

<u>y=0.5*1.8^x</u>

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3 years ago
How would I find a? What formula would I use?
xenn [34]

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  You can use either of the following to find "a":

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  • Law of Cosines

Step-by-step explanation:

It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.

I find it reasonably convenient to find the length of x using the sine of the 70° angle:

  x = (15 ft)/sin(70°)

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That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.

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Consider the diagram below. The relation between DE and AE can be written as ...

  DE/AE = tan(70°)

  AE = DE/tan(70°) = DE·tan(20°)

  AE = 15·tan(20°) ≈ 5.459554

Then the length EC is ...

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Now, we can find DC using the Pythagorean theorem:

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_____

You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)

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  a = √225.70635 ≈ 15.0235 . . . feet

3 0
3 years ago
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