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2 years ago

What’s v,j,a with a dilation of 4

Mathematics

1 answer:

Artist 52 [7]2 years ago

3 0

Answer:

Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Step-by-step explanation:

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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.

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

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

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

Calculate the surface area of this pyramid.

const2013 [10]

Answer:

where is the pyramid

Step-by-step explanation:

please

6 0

3 years ago

Will give Brainly lollllllll XD......................

marshall27 [118]

Answer:

it looks like it would just be -1

Step-by-step explanation:

there two -x and two positive x which would cancel out. three positive 1 and four negative 1. -4+3= -1

that's the best I could come up with

6 0

2 years ago

Read 2 more answers

Sam spent StartFraction 5 Over 6 EndFraction of an hour at the dentist’s office. He spent StartFraction 1 Over 10 EndFraction of

ioda

Answer:

Step-by-step explanation:

Dentist's Office = 5/6 of an hour. An hours is 60 minutes

therefore he spent 5/6 x 60 = 50 minutes at the Dentist

1/10 of those 50 minutes were spent in the waiting room that is 1/10 x 50 = 5 minutes

Therefore Sam Spent 45 minutes at the Dentist office

I think the second part of your question is missing

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2 years ago

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An architect has his floor plan for a house he is building. The foundation for the house has already been laid and measures 300

wlad13 [49]

Answer:

Step-by-step explanation:

You divide 300 by 25

300/25=12

His house is 12 in long on the floor plan

7 0

3 years ago