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Zigmanuir [339]
2 years ago
12

Consider the density curve below.

Mathematics
2 answers:
scZoUnD [109]2 years ago
5 0

Answer:

60%

Area=1/2 (base)(height)

Area=1/2(2)(0.6)

Area=0.6

0.6=60%

Troyanec [42]2 years ago
4 0

Answer:

Can u show the whole question

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For the function g(x)=3-8(1/4)^2-x
Reika [66]

Using function concepts, it is found that:

  • a) The y-intercept is y = 2.5.
  • b) The horizontal asymptote is x = 3.
  • c) The function is decreasing.
  • d) The domain is (-\infty,\infty) and the range is (-\infty,3).
  • e) The graph is given at the end of the answer.

------------------------------------

The given function is:

g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}

------------------------------------

Question a:

The y-intercept is g(0), thus:

g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5

The y-intercept is y = 2.5.

------------------------------------

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3

--------------------------------------------------

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty

Thus, the horizontal asymptote is x = 3.

--------------------------------------------------

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

--------------------------------------------------

Question d:

  • Exponential function has no restrictions in the domain, so it is all real values, that is (-\infty,\infty).
  • From the limits in item c, the range is: (-\infty,3)

--------------------------------------------------

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

8 0
2 years ago
I need help on questions 2 please and thank you
EleoNora [17]
I would say B , even though I’m only in 5 th grade
8 0
3 years ago
What is the slope of the line shown below?<br> y=1/3x-3
inysia [295]

Answer:

slope=1/3

Step-by-step explanation:

the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3

5 0
3 years ago
Which of the following is false?
Vladimir [108]
A triangle can be drawn with exactly one acute angle is false (assuming the triangle is drawn on a 2-dimensional plane).
4 0
3 years ago
Read 2 more answers
Your Nana gives you $50 for making all A’s/B’s on your last report card. You have been eying a new pair of Crocs + their fancy c
satela [25.4K]

Answer:

Yes you have enough money because with the dicound the crocs are $45.50

Step-by-step explanation:

u have $50 the crocs is $65 but have 30% off

$65 with 30% off is $45.50

7 0
2 years ago
Read 2 more answers
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