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irina [24]
3 years ago
13

PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the

domain restriction. (f/g)(x)
Mathematics
2 answers:
Brums [2.3K]3 years ago
4 0

Answer:

The domain restriction for (f/g)(x) is x=7

Step-by-step explanation:

we have

f(x)=6x+2

g(x)=x-7

so

(f/g)(x)=\frac{6x+2}{x-7}

Remember that

the denominator can not be equal to zero

so

Find the domain restriction

x-7=0

x=7

therefore

The domain is all real numbers except the number 7

(-∞,7)∪(7,∞)

tatyana61 [14]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that:

f(x)=6x+2

and g(x)=x-7

So,

(f/g)(x)=\dfrac{f(x)}{g(x)}

(f/g)(x)=\dfrac{6x+2}{x-7}

For the above function to be well defined  the denominator has to be non-zero

So,

the domain restriction  is:

x-7≠0

x≠7

Therefore

The domain is all real numbers except the number 7

i.e. the domain is: (-∞,7)∪(7,∞)

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Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do
Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0
2 years ago
Patricia donated 1 pint of blood to the blood bank.The lab assistant divided patricia's blood equally into 3 bags.How much blood
lozanna [386]
If one pint was in 3 bags equally each bag would have 10.67 ounces.
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Given that3x:8=7:2Calculate the value ofx.Give your answer in its simplest form
laila [671]

The answer is 28/3, and in simplest form its 9 1/3

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Consider the two groups listed below. Which statement describes the sets?
antoniya [11.8K]
<span><u><em>The correct answer is: </em></u>
D) neither the relation (length, volume) nor the relation (volume, length) is a function.

<u><em>Explanation: </em></u>
 A function is a relation in which each element of the domain is mapped to no more than <u>1 element</u> of the range.
For (length, volume), the domain would be length and the range would be volume.
There could possibly be a length value that is mapped to more than one volume value, depending on the height of the pool. This means that (length, volume) is not always a function.
For (volume, length), volume is the domain and length is the range.
There could possibly be a volume that is mapped to more than one length, depending on the height of the pool. This means that (volume, length) is not always a function either.</span>
6 0
3 years ago
Factor this polynomial expression.
castortr0y [4]

Answer:

(x+6)(x+6)

Step-by-step explanation:

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What two numbers multiply to 36 and add to 12

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