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3 years ago

Find formula for exponential function passing through points (-3,3/8) and (2/12)

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Answer:

y = 3 · 2ˣ

Step-by-step explanation:

Exponential function is:

y = abˣ

Plug in the points:

⅜ = ab⁻³

12 = ab²

Solve the system of equations. Start by dividing the second equation by the first:

12 / ⅜ = (ab²) / (ab⁻³)

32 = b⁵

b = 2

Plug into either equation to find a:

a = 3

Therefore:

y = 3 · 2ˣ

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Step-by-step explanation:

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2 years ago

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2 years ago

If the diameter of a circle is half of a yard, then its radius is how many inches?

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3 years ago

Simplify h= 105sin (0.0698(90+1)) + 105

IrinaK [193]

Answer:

$h= 116.616$

Step-by-step explanation:

we have

$h= 105sin (0.0698(90+1)) + 105$

step 1

Solve (90+1)

$h= 105sin (0.0698(91)) + 105$

step 2

Solve 0.0698(91)

$h= 105sin (6.3518) + 105$

step 3

Solve sin (6.3518)

$h= 105(0.11063) + 105$

step 4

Solve 105(0.11063)

$h= 11.616 + 105$

step 5

Solve 11.616 + 105

$h= 116.616$

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2 years ago

Andre received and spent money in the following ways last month. For each example, write a positive or negative number to repres

lara [203]

Answer:

+25;+18;-10

Step-by-step explanation:

Ok so let's break down the scenario step by step:

His uncle gave him $25 so that means it's positive so +25
Now he earned $18 so that means it is also positive so +18
And now he spent $10 which means it is negative so - 10

(And of you want to find out the amount left with him,

(25+18)-10

=43-10

=$33)

Hope this helps :)

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2 years ago