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nataly862011 [7]
3 years ago
13

Given: g(x)=1/x+2 and h(x)=3x Check all restrictions on the domain of gOh.

Mathematics
2 answers:
Allisa [31]3 years ago
5 0

<em>x not equal to -2/3</em> is the answer.

Vlad [161]3 years ago
3 0

The composite function (g \circle h)(x) works like this:

  • Take a number x as input
  • Evaluate h(x) = 3x. Let's call this output z.
  • Evaluate g(x) = 1/(z+2)

So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

3x+2 \neq 0 \iff 3x \neq -2 \iff x \neq -\dfrac{2}{3}

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Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa
SSSSS [86.1K]

Answer:

The answer is B. He spent 3 minutes eating lunch for every 10 minutes.

Step-by-step explanation:

He spent stuck inside during the brainstorm for:

20+18+12+10= 60 minutes in total.

And now we want to know what he did for every 10 minutes he spent in the rainstorm. To do that we need to divide what he did for every 10 minutes by the total of minutes that he was stuck:

\frac{10}{60} =\frac{1}{6}

And now we can multiply the time of the activities by 1/6 to get the time he did each activity every 10 minutes.

Reading:

20*\frac{1}{6} = 3.33 minutes reading for every 10 minutes.

Eating:

18*\frac{1}{6} = 3 minutes eating for every 10 minutes.

Watching TV:

12*\frac{1}{6} = 2 minutes watching TV for every 10 minutes.

Drawing:

10*\frac{1}{6} = 1.67 minutes drawing for every 10 minutes.

Therefore he spent 3 minutes eating lunch for every 10 minutes.

4 0
3 years ago
Read 2 more answers
Debby, Ella and Unique invest $10,000 each into an oil company. Debby owns 2000 $1 common stocks, Ella owns 1000 of 5% $50 prefe
Mashutka [201]

Answer:

Ella has the greatest return in the current year.

Step-by-step explanation:

Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)

Besides,Ella's return on the stock investment in the current year is computed thus:

Ella's return= 5%*1000*$50=$2,500

In addition,Unique's dollar return on the investment is computed as follows:

Unique's return on  investment=4%*2000*$20=$1,600

From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each

5 0
3 years ago
An axiom in educlidean geometry states that in space there are at least points that do
ICE Princess25 [194]

Answer:

a point is the answer sus

7 0
2 years ago
Plzzz help will give brainlist, and im stuck on the answer
MakcuM [25]

Answer:

Likely

Step-by-step explanation:

0.90 is also equal to 90% which is very likely to happen.

6 0
3 years ago
Tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cas
DerKrebs [107]

To solve this problem you must apply the proccedure shown below:

1. First, you must multiply $8 by the hours given in the exercise:

(8dollars)(25hours)=200dollars

2. Now, multiply the result obtained above by 4, to calculate her monthly income:

(200dollars)(4)=800dollars

3. If 22% of her paycheck goes to taxes, you have:

(800dollars)-[(800dollars)(0.22)]=624dollars

Therefore, the answer is: $624

5 0
3 years ago
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