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ivann1987 [24]
3 years ago
5

Write the function tan(

}{4} -x" alt="\frac{3\pi }{4} -x" align="absmiddle" class="latex-formula">) as an expression involving functions of x only
Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Step-by-step explanation:

\tan( \frac{3\pi}{4}- x)  =  \frac{ \tan( \frac{3\pi}{4} ) -  \tan(x)  }{1 +  \tan( \frac{3\pi}{4} ) \tan(x)}

Since tan(3pi/4) = -1

\tan( \frac{3\pi}{4}- x)  =  \frac{ - 1 -  \tan(x)  }{1  -  \tan(x)}

=  \frac{ \tan(x)  + 1}{ \tan(x)  - 1}

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Factor completely. 5x^2-20x+20=5x 2 −20x+20
Harman [31]

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

5 0
3 years ago
suppose you own a car that gets 35 miles to a gallon of gasoline and gasoline costs $1.25 per gallon. how many gallons of gas ca
valina [46]
The answer of your question is 20 gallons of gasoline. It just a simple division you just have to divide $25 which is the given money to buy an exact amount of gallon by $1.25 which is the price of each gallon. So you would come up to an answer of 20 gallons.
8 0
3 years ago
The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number?
Elis [28]
Let the two numbers be x and y.

According to your question;

x + y = 7
10y + x = 10x + y + 9

By equation 1 ; x = 7-y

Substituting the value of x ;

10y + ( 7 -y) = 10(7-y) + y + 9

9y + 7 = 70 -10y + y + 9

9y + 7 = 70 - 9y + 9

=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4

Substituting for x ;

x = 7 - y
=> x = 7 -4
=> x = 3

Thus, x = 3 and y = 4;
=> The number is 34.
5 0
3 years ago
Read 2 more answers
Create a visual plot of the data in the table by constructing a bar graph.
sashaice [31]

The average view of the dress code is that this dress is not good

<h3>Explain how Rashad could collect data to ensure that it is a random sample of the population.</h3>

For Rashad's sample to be a random sample gotten from the population, the following must be considered.

  • First, he must have a defined population. In this case, his population is all the students in his high school (non students are not to be considered)
  • Next, he must have a defined sample size (say 10% or 20% of the total number of students in the school)
  • Next, he must select students at random (a perfect example of this is one of every five or ten students that enters the school gate.
  • Lastly, he must collect data for his sample

<h3>Create a visual plot of the data in the table by constructing a bar graph.</h3>

To do this, we simply create a bar graph.

The response would go into the x-axis, while the number of people would go into the y-axis

See attachment for bar graph

<h3>What is the average view of the dress code? How did you come to this conclusion?</h3>

The average view of the dress code is that this dress is not good

It is considered the average view of the dress code because it is the opinion with the most frequency

<h3>Will the dress change?</h3>

The number of students that do not like the dress as:

210 + 206 + 770 = 1186

Their percentage is

Percentage = 1186/(210 + 206 + 770 + 358)

Percentage = 77%

This means that

Yes, the dress will change

Read more about random sampling at:

brainly.com/question/7301139

#SPJ1

5 0
2 years ago
Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up? PLS
satela [25.4K]

Answer:

3rd

Step-by-step explanation:

First it can't be the one with only 1 tree because you need the possibility that it could land on tails first.

Second it couldn't be the first one because they were both heads.

Hope this helps <3

7 0
3 years ago
Read 2 more answers
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