1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KatRina [158]
3 years ago
15

The graph of y = e−x + 3 is shown. What are the y-intercept and the horizontal asymptote, and do they represent exponential grow

th or decay?
The y-intercept is (0, 3), the horizontal asymptote is y = 4, and the graph represents exponential growth.
The y-intercept is (0, 4), the horizontal asymptote is y = 3, and the graph represents exponential decay.
The y-intercept is (0, 4), the horizontal asymptote is y = 3, and the graph represents exponential growth.
The y-intercept is (4, 0), the horizontal asymptote is x = −3, and the graph represents exponential decay.

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
The y-intercept is (0; 4).

The horizontal asymptote is y = 3.

The graph represents exponential decay.

You might be interested in
An odd number under 50 but least 5 factors
ohaa [14]
5,15,25,35,45,55 ext.
6 0
4 years ago
What decimal is equal to 31/100
BlackZzzverrR [31]

Answer:

0.31

Step-by-step explanation:

So if you divide 31 by 100 all you have to do is move the decimal from right to left the number of zeros you have. Here we have 2 zeros so we move from right to left twice.

0.31

4 0
3 years ago
Find the area of the figure, 5 in. 2 in. 4 in. 5 in.​
bearhunter [10]
I don’t know sorry I’m on this app because I need help myself
8 0
3 years ago
Read 2 more answers
Find the laplace transform of f(t) = cosh kt = (e kt + e −kt)/2
iren2701 [21]
Hello there, hope I can help!

I assume you mean L\left\{\frac{ekt+e-kt}{2}\right\}
With that, let's begin

\frac{ekt+e-kt}{2}=\frac{ekt}{2}+\frac{e}{2}-\frac{kt}{2} \ \textgreater \  L\left\{\frac{ekt}{2}-\frac{kt}{2}+\frac{e}{2}\right\}

\mathrm{Use\:the\:linearity\:property\:of\:Laplace\:Transform}
\mathrm{For\:functions\:}f\left(t\right),\:g\left(t\right)\mathrm{\:and\:constants\:}a,\:b
L\left\{a\cdot f\left(t\right)+b\cdot g\left(t\right)\right\}=a\cdot L\left\{f\left(t\right)\right\}+b\cdot L\left\{g\left(t\right)\right\}
\frac{ek}{2}L\left\{t\right\}+L\left\{\frac{e}{2}\right\}-\frac{k}{2}L\left\{t\right\}

L\left\{t\right\} \ \textgreater \  \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{t\right\}=\frac{1}{s^2} \ \textgreater \  L\left\{t\right\}=\frac{1}{s^2}

L\left\{\frac{e}{2}\right\} \ \textgreater \  \mathrm{Use\:Laplace\:Transform\:table}: \:L\left\{a\right\}=\frac{a}{s} \ \textgreater \  L\left\{\frac{e}{2}\right\}=\frac{\frac{e}{2}}{s} \ \textgreater \  \frac{e}{2s}

\frac{ek}{2}\cdot \frac{1}{s^2}+\frac{e}{2s}-\frac{k}{2}\cdot \frac{1}{s^2}

\frac{ek}{2}\cdot \frac{1}{s^2}  \ \textgreater \  \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \  \frac{ek\cdot \:1}{2s^2} \ \textgreater \  \mathrm{Apply\:rule}\:1\cdot \:a=a
\frac{ek}{2s^2}

\frac{k}{2}\cdot \frac{1}{s^2} \ \textgreater \  \mathrm{Multiply\:fractions}: \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d} \ \textgreater \  \frac{k\cdot \:1}{2s^2} \ \textgreater \  \mathrm{Apply\:rule}\:1\cdot \:a=a
\frac{k}{2s^2}

\frac{ek}{2s^2}+\frac{e}{2s}-\frac{k}{2s^2}

Hope this helps!
3 0
4 years ago
Find the area of a regular nonagon with a side length of 7 and an apothem of 5
vitfil [10]
A NONA=9, nonagon has 9 sides, so it's perimeter is 7+7+7+7+7+7+7+7+7, or 63, and we know the apothem.

bearing in mind that the area of a regular polygon is 
(1/2)ap   a = apothem, p = perimeter

so in this case that'd be (1/2)(5)(63).
7 0
3 years ago
Other questions:
  • 8. A right cone has a volume of 8,579 m3 and a radius of 16 m. Find its altitude.
    8·1 answer
  • Fill in the boxes plz. Thanks
    14·1 answer
  • Pyramids: All but two of the pyramids built by the ancient Egyptians have faces inclined at 52° angles. Suppose an archaeologist
    15·1 answer
  • Which situation is repesented by the graph
    9·1 answer
  • Please help. I hope u r all safe. Please help thanks so much.
    8·1 answer
  • An elevator in a mine shaft is stopped at a .25 feet below ground level. And then travels 28 feet downward. What equation can be
    13·1 answer
  • PLS EXPLAIN IN FULL DETAIL
    12·2 answers
  • Applications Day #1:
    8·1 answer
  • Write in slope intercept form: 4x-5y= -20
    11·2 answers
  • You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry, History, and Psychology. If you c
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!