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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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SSSSS [86.1K]

Answer:

16 oz, 12 oz, 4 oz

Step-by-step explanation:

Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.

2 pounds is equal to 32 ounces.

To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.

After this you can youse a 12 ounce weight, which brings it down to 4 ounces.

The last weight needed is the 4 ounce weight which will then level out the balance scale.

8 0
3 years ago
The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is
zvonat [6]

Answer:

Orinal number of cats=  171

Step-by-step explanation:

Giving the following information:

Decrease in population= 30%

Current population= 120

<u>To calculate the original number of cats, we need to use the following formula:</u>

Orinal number of cats= current population / (1 - decrease)

Orinal number of cats= 120 / (1 - 0.3)

Orinal number of cats=  171

8 0
2 years ago
Help me idk what's the answer
Jobisdone [24]
76, 84, 93, 67, 82, 87, & 76

The mean is just the middle number of the data set,

Start by rewriting the set in order from smallest to biggest:
67, 76, 76, 82, 84, 87, 93

Determine which is the number in the middle,
67, 76, 76, *82*, 84, 87, 93

So, in this case, the median is 82.
4 0
3 years ago
Read 2 more answers
Barrett is ordering t-shirts for his school's student council. Company D charges a
stiv31 [10]

Answer:

A. 6.25x + 30 > 9.75x+12

Step-by-step explanation:

This is because we know from the problem that x is the minimum number of t-shirts. We also know Company D charges a 6.25 fee for each tee, while Company E charges a 9.75 fee per tee.  Based on the information we know, we can choose the problem.

5 0
1 year ago
An employment agency specializing in temporary construction help pays heavy equipment operators $138 per day and general laborer
prisoha [69]

Answer:

L = 2,

O = 31

Step-by-step explanation:

First using the givens, write out some formulas.

Heavy equipment operators = O

General laborers = L

  • O + L = 33
  • 138O + 87L = 4044

Now use substitution, it doesn't matter which one you substitute.

  • O = -L +33
  • 138( -L + 33 ) + 87L = 4044

Distribute and solve for L.

  • -138L + 4554 + 87L = 4044
  • -138L - 87L = 4044 - 4554
  • -225L = -510
  • L = -510/-225
  • L = 2

L = 2, meaning number of laborers employed is 2.

Now plug 2 = L into one of the original equations.

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  • O + 2 = 33
  • O = 33 - 2
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O = 31, meaning number of heavy equip. operators employed is 31.

4 0
3 years ago
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