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hjlf
3 years ago
11

How does changing the function from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6 affect the range of the function?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
5 0
The function shifts down 6 units so the range will change from (-4, 4) to (-10,-2)
Option # 3
ArbitrLikvidat [17]3 years ago
5 0

Answer:

The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

Step-by-step explanation:

Given  : f(x) = −4 cos 3x  and  g(x) = −4 cos 3x − 6.

To find  :    How does changing the function affect the range of the function?

Solution : We have given that  

Function change from  f(x) = −4 cos 3x  to   g(x) = −4 cos 3x − 6.

By the transformation rule : f(x) →→→f(x) -k it mean function shifted down k unit .

Then Function would shift down 6 unit .

For  f(x) = −4 cos 3x  

Range:  [ -4,4]

For  g(x) = −4 cos 3x − 6.

Range : [-10 ,-2]

Therefore, The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).

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Regarding your (1/10 divided by 2/5):  I'm going to regard this as

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 1
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Invert the fraction 2/5 and then multiply 1/10 by 5/2:

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Thus, <span>−34+(1/10÷2/5) yields -34 + 1/4, or   -33 3/4.</span>
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3 years ago
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4. Bradford hopped into his Ford Mustang GT to rush to Diana and tell her
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Answer:

See explanation and image attached

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A graph of the motion is shown in the image attached. We can see that he maintained a constant speed after 4.7 seconds.

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2 years ago
As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou
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Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

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It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

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2 years ago
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2 years ago
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Answer:

No, you are not correct.

It should look like this:

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Pay attention                           20                                                  25

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Do not pay

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Step-by-step explanation:

33 is 22% of 150. In the question it states that 70% of people do not pay attention to fashion. We need to find the other 48% here. In order to do that we multiply .48 by 150. That gets us 72. To check that answer you can add both 72 and 33 and then divide by 150, which gets 70%.

To get the amount of people that prefer neutral decorations and pay attention to fashion we need to add up 20 + 72 + 33 and that equals 125. Next, we take 150 and minus 125 of it to get 25.

<em>Hope this helps!!</em>

<em>- Kay :)</em>

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