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Elodia [21]
2 years ago
15

Write an algebraic expression that can get you the final price of an item that cost $x with a 8.5% tax and a 30% discount?

Mathematics
1 answer:
Drupady [299]2 years ago
6 0

Answer:

X×0.085-(X÷0.30)

Step-by-step explanation:

I think that right its been a while since I did that stuff in school

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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
Find the value of x.
OLEGan [10]

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

7 0
3 years ago
Read 2 more answers
Which of the following groups listed below are subsets of the integers?
meriva
I believe the answer would be Whole Numbers
8 0
2 years ago
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cu
Flura [38]

The correct answer is option B which is mixture B will have the highest ratio of blue paint.

<h3>What is a ratio?</h3>

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

<h3 />

The given ratios are:-

Mixture A = \dfrac{5}{12} = 0.41

Mixture B = \dfrac{6}{6}= 1

Mixture C = \dfrac{4}{12}= 0.33

Mixture B = \dfrac{5}{6}=0.83

Here the ratio of mixture B is the highest among all the options available.

Therefore the correct answer is option B which is mixture B will have the highest ratio of blue paint.

To know more about ratios follow

brainly.com/question/2328454

#SPJ1

4 0
2 years ago
Help me with my math homework please.
MariettaO [177]

Answer:

look around the bottom of the page and if it has something like a brand or company whatever write it down in the search and then write the title of the paper and look for pdfs

5 0
3 years ago
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