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Tpy6a [65]
3 years ago
11

How to make a graph of an exponential function that shows exponential decay and has a y intercept of 2

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

f(x)=2e^{-kx}

in a graph the x value at the y intercept is 0

f(x)=Ae^{-kx}  is a typical decay function

if x = 0  thus e^{-kx} = 1

so at 0 the function value would be A

f(x)=2e^{-kx}

Step-by-step explanation:

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\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}

<u>Step-by-step explanation:</u>

7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\

x ≈ 1.09

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The graph is attached

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Th table that shows the quantities of onions consumed  (in kilogram) over 5 weeks by a person is as follows: (see the attached file)

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(see the attached file)

Download docx
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pptx </span>
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