MATHEMATICS HIGH SCHOOL

Which functions are symmetric with respect to the origin?y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

Answer 1
Answer:

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

\rm y = sin^(-1)(0)=0

\rm y = cos^(-1)(0)=1.57

Step 3 - Substitute (x = 0) in option b), that is:

\rm y = cos^(-1)(0)=1.57

\rm y = tan^(-1)(0)=0

Step 4 - Substitute (x = 0) in option c), that is:

\rm y = tan^(-1)(0)=0

\rm y = cot^(-1)(0)=1.57

Step 5 - Substitute (x = 0) in option d), that is:

\rm y = tan^(-1)(0)=0

\rm y = sin^(-1)(0)=0

For more information, refer to the link given below:

brainly.com/question/13710437
Answer 2
Answer:

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

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For the first question the equation would be 200 + 50x

The second equation should be
200 + 50(1) = 250

Answer:

200+50x = first month

50x (x represents number of months)

First month is 200+5=$250

Step-by-step explanation:

Let t = 5. What is the value of 6 · 4 + t · 3?

A.
19

B.
39

C.
87

D.
133

Answers

Hi there! If t=5 then 6*4+5*3=39. Therefore, the answer is B. 39
the answer is B because 6*4=24 and 5*3=15 and 24+15=39

Alex received two job offers. He is not sure whether he should take a job at the movie theater that's close to his house and pays $8.50 per hour, or if he should take the job at a grocery store that pays $9.00 per hour, but is a thirty-minute drive away. Use the PACED decision process to decide what Alex should do. Show each step.

Answers

PACED decision making model
P - identify the problem
A - identify the alternatives
C - determine criteria
E - evaluate alternatives
D - make a decision

Problem: What job to take?
Alternatives:
1st job: movie theater ; 8.50/hr ; near his house or walking distance
2nd job: grocery store ; 9.00/hr ; 30 minutes travel
Criteria:
travel time and travel cost
Evaluate:
1st job: walking distance, no traffic worries nor fuel expenses
2nd job: 30 minutes travel time, consider traffic, fuel expenses
Decision:
It is more practical to accept the job in the movie house. Even though it is only 8.50 per hour, travel expenses is 0 and there is no difficulty in going to work.

Answer:

Movie Theater

Step-by-step explanation:

P - identify the problem

A - identify the alternatives

C - determine criteria

E - evaluate alternatives

D - make a decision

1st job; $8.50 an hour

2nd job; $9 an hour

1st job; walking distance, no fuel or car expenses

2nd job; 30 minutes away, need to pay for a bus or gas for a car

I say he should get the job at the movie theater, its closer so he doesnt need to spend money on gas or for a way to get to the other job. It's only $.50 more for the other job but he would cost more for a way to get there.

1)-3a²b² *3a²b5=
-
2) (-4 α²b6)³ =
3)-4m³h5.5n².m4=
4) (-3m²² h ²)4

Answers

1. -9a^4b^7
2.-64a^8b^216

3.-4m^7.5n^7

4.-12m^22h^2

sry if its wrong, i cant see the question clearly :)

Answer:

1.-9a^(4)l^(7)

2.-64a^(6) b^(18)

3.-20m^(7)n^(7)

4.-64m^(28) h^(8)

Step-by-step explanation:

Explain how to do 63 is 90% of what number

Answers

To do this, you must first turn 90 percent into a decimal, by dividing it by 100.  The decimal should be .90 .  

Now, you must divide 63 by .90 which will give you the number that 63 is 90% of.  The answer should be 70.

To help you understand this, think about finding 90% of 70.  To do this you could do 70 times .90 (decimal form of 90%) which would give you 63 as your answer.  This is because 70 is being multiplied not by 1 (its fullself), but by .90 which will give you 90% of 70.

Finally, the opposite of multiplying is dividing so to find 90% of 63 you do the opposite.  You divide instead of multiply since you are trying to find what 63 is 90% of.

Remember to study and work on finding the lesser number that represents the percentages of the full numbers and turning them into values, and vice versa, like in this question.  So for example, finding what number is 10% of 90.  You would have to multiply 90 by .10  .  The answer would be 9.

To recap, the answer you should come up with for your question is 70.

I hope this helps!

Doug has a weekend job. He earns $9.50 an hour and works 6 hours on Saturday. He works some more hours on Sunday, and his paycheck totals $133.00. How many hours did Doug work Sunday?

Answers

8 hours 
 i just did the math
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