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2 years ago

How does the graph of g(x)=

Mathematics

1 answer:

kiruha [24]2 years ago

7 0

Answer:

Og(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

To understand how the parent function is transformed, you have to look at a few things.

Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis

Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis

Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is x+4, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))

Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 - 6) (( this one does follow common sense))

There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )

For more information: https://mathhints.com/parent-graphs-and-transformations/

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On a piano, the formula to determine the frequency f of any pitch relative to the A above middle C (A440) is given by the expres

Nady [450]

The answer is C. Just took the quiz and B was wrong. It needs to be the one with the smaller 12.

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3 years ago

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How to simplify 5 cubed

alex41 [277]

Answer:

125

Step-by-step explanation:

Steps to Solving the Problem

So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.

To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.

Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.

We can write out five cubed as:

5^3

Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.

5 x 5 x 5

This shows us 5 friends multiplied by $5 multiplied by 5 days.

From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.

5 x 5 = 25

25 x 5 = 125

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3 years ago

What is 15 minutes later than 2:50

blsea [12.9K]

Answer:

3:05

I hope this helps

Step-by-step explanation:

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3 years ago

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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b

Ede4ka [16]

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train Average speed Distance time (distance/average speed)

mph

A 60 x x/60

B 80 240 - x (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

$\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles$

4. Calculate the time:

x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

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3 years ago

Work backward to find the value of the variable in the equation below d-4=23

AnnyKZ [126]

Answer:

Step-by-step explanation:

The equation is a onestep equation, so in order to find the variable, follow these steps:

d - 4 = 23

In order to isolate the variable or get the variable by itself, you need to get rid of the constants around it or the numbers without a variable. In order to do that for this equation, you'll need to do the inverse of subtracting 4, which would be adding four to both sides.

Adding 4 to positive 23 will give you the answer of 27;

d = 27

Therefore, the variable d equals 27

Hope this helps!

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3 years ago