Mathematics High School

Write the equation for the inverse of the function.
y= Arctan (x+Pie/2)

Answers

Answer 1

Answer:

y = tan x - pi/2

Step-by-step explanation:

y = arctan(x+pi/2) use that tan y = x is y= arctan x

tan y = x+pi/2; change x with y and find y

tan x= y +pi/2; subtract pi/2 from both sides

-pi/2 + tan x = y

y= tan x -(pi/2) is the inverse function

you can also write it as

y = 1/2(2 tan x -pi)

y = tan x - pi/2

Related Questions

Rylee estimated that her dog weighed 23 pounds, but the vet's scale
showed that he was 26 pounds. What is the percent error?

Answers

Answer: 3

Step-by-step explanation:

What

Helppppppppp fasttttttt pleaseeeeeee!!!!!!!

Answers

Answer:

(3x⁷)⁴ = 3⁴x²⁸ = 81x²⁸

because (3x⁷)⁴ = cx^n

=> c = 81

n = 28

Which of the following shows the correct solution steps amd solution to 7x-4=-18

Answers

Answer:

D

Step-by-step explanation:

7x - 4 = -18            (add 4 to both sides)

7x = -14                  (divide both sides by 7)

x = -2

the answer is D

PLEASE HELP ASAP WILL GIVE BRAINLEST!!!!

In ΔPQR, what is the m∠Q? Enter your answer in the box.


m∠Q=

Answers

Answer:

105

Step-by-step explanation:

all of the angles added will add up to equal 180 so we setup the equation

180=11x-5+6x+5+x and solve

step 1 combine like terms

180=18x

step 2

divide each side by 18

x=10

then we just plug in 10 to 11x-5

11x10=110-5=105

angle q=105

Shaggy earned 7.50 an hour plus an additional $100 in tips waiting tables last night. He earned more than $160 in all. Write an inequality to represent this situation and help you find the number of hours (h) he worked.

Answers

Answer

x>21.2

Step-by-step explanation:

7.55x+100>160:

subtract 100 on both sides to get:

7.55x>60:

divide 7.55 on both sides:

x>21.2 is your answer  

 

Answer:

7.50h + 100 > 160

Step-by-step explanation:

7.50 is the hourly wage

h = hours he worked

add 100 once because it's his tips for the amount of time her worked

since he worked more than 160, you'll use the greater sign

then solve for h

h = 8 hours

Luisa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price. About how much is the sales tax on the elephant?
$3.15
$4.90
$0.32
$4.95

Answers

Answer:

OH DADDY FASTER

Step-by-step explanation:

OY PAPI MAS RAPIDO

The first transformation for this composition is [________], and the second transformation is a translation down and to the right. a 90° rotation about point L a 270° rotation about point L a 90° rotation about point P a 270° rotation about point P

Answers

Answer:

D. A 270-degree rotation about point P

Step-by-step explanation:

I hope this helps!!!

HI I NEED HELP WITH THIS!!! SOMEONE ANSWER ASAP PLS

Answers

10
the hypotenuse is the largest side
so out of 6,8,10
10 is the largest

PLZ HELP ASAP!! WITH GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!!

Answers

Answer:

degree is 6 and it is a trinomial

The degree is 6 and trinomial

Please I need ASAP thank you very much

Answers

Answer:

a. 0= 3^3-2(3)^2-2(3)-3

(set the equation to zero. x=3, so plug 3 into all of the x's ^^)

27-18-6-3

(do all of the multiplying and stuff ^^)

0

(combine like terms ^^)

Step-by-step explanation:

i hope this helps!!

What number minus one-half is equals to negative one-half

Answers

Answer:

0

Step-by-step explanation:

determine an equation of a line in standard form that is perpendicular lo the line 2y = -x + 3 and passes through the point (4, 5).​

Answers

first, i put the equation in y=mx+b by dividing 2, since its 2y. since it’s perpendicular we’re talking about you switch the sides (opposite reciprocals). the rest should be self explanatory.

A glacier moves about 3 inches every 9 hours. At this rate, about how far does the glacier move in 36 hours?
Help me please

Answers

Answer:

The answer is 12

Step-by-step explanation:

36/9=4

4x3=12

So first you would divide 12 in half to figure out how many inches it moves in 24 hours (or 1 day) which would be 6 inches every 24 hours. You then multiply 6 (inches per day) by 7 (# of days). You end up with 42 inches in 7 days. Hope this helps

what is 287.5/25 simplified I’m literally close to tears help

Answers

Answer:

11.5

Step-by-step explanation:

I hope this helps :)

Answer:

11.5

Step-by-step explanation:

have a great day <3

Offering Brainleast if you explain your answer

Answers

In order to answer you would have to plug 62 in the x spot and then make it equal to 180

Please help I’ll mark your brainlist!

Answers

Answer:

D f(x) = 4X - 3

Step-by-step explanation:

If you substitute the numbers of the table into the equation it works out, for example

2 x 4 = 8 - 3 = 5

3 x 4 = 12 - 3 = 9

4 x 4 = 16 - 3 = 13

Determine which function(s) are exponential. Select all that apply.

Answers

Answer:

option B and option C represent an exponential function.

Step-by-step explanation:

We know that following are some of the properties of different functions.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

Determining the nature of the exponential function

Option A)

x       0          1          2         3           4

y       0          1           4         9          16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

1/0 = ∞,  4/1 = 4,  9/4 ; 16/9

Thus,

Table A DOES NOT represents an exponential function.

Option B)

x       0          1          2         3           4

y       1/3        1           3        9           27

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

1/[1/3] = 3,  3/1 = 3,  9/3 = 3; 27/9 = 3

As there is constant change in x as well a constant ratio.

Thus,

Table B REPRESENTS an exponential function.

Option C)

x       0          1          2         3           4

y       5          5/2      5/4      5/8       5/16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

[5/2]/5= 1/2,

[5/4]/[5/2] = 1/2

[5/8]/[5/4] = 1/2

[5/16]/[5/8] = 1/2

As there is constant change in x as well a constant ratio.

Thus,

Table C REPRESENTS an exponential function.

Option D)

x       0          1          2         3           4

y       4.5       4        3.5       3          2.5

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

4/4.5 = 4/[45/10] = 40/45 = 8/9

3.5/4 = [35/10]/4 = 35/40 = 7/8

3/3.5 = 3/[35/10] = 30/35 = 6/7

2.5/3 = [25/10]/3 = 25/30 = 5/6

Table D  DOES NOT represent an exponential function.

Conclusion:

Therefore, option B and option C represent an exponential function.

The functions that are exponential would be:

B). [tex]x[/tex]   0          1          2         3           4

   [tex]y[/tex]     1/3        1           3        9          27

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

What are Exponential Functions?

B). Given that,

[tex]x[/tex]   0          1          2         3           4

 [tex]y[/tex]     1/3        1           3        9          27

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex]1/[1/3] = 3, \\3/1 = 3, \\9/3 = 3; \\27/9 = 3[/tex]

Thus, it exemplifies an exponential function.

Similarly,

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex][5/2]/5= 1/2\\\\[5/4]/[5/2] = 1/2\\\\[5/8]/[5/4] = 1/2\\\\[5/16]/[5/8] = 1/2[/tex]

Thus, it exemplifies an exponential function.

Thus, options B and C are the correct answers as the other two have a constant change but not a constant ratio.

Learn more about "exponential function" here:

brainly.com/question/15352175

Please help!!! Graph the line with slope −1 and y-intercept 3

Answers

This is what I got when i graphed it.

Please help me this is due in and hour

Answers

Answer:

The answer is All Solution

Step-by-step explanation:

PLEASE HELP!!!!!!!
What is the area of this figure?

28 yd²

40 yd²

52 yd²

64 yd

Answers

Answer:

40yd

Step-by-step explanation:

Answer:

i got 28 yd2

Step-by-step explanation:

for the triangle: 6×4= 24, but since a triangle is half divide by 2

24/2=12

4×4= 16

12+16= 28

lmk if I'm wrong, i might be a little rusty

i need help with math problem

Answers

Answer:

wow

Step-by-step explanation:

Plot the image of point D under a dilation about the origin (0,0) with a scale factor of 2.

Answers

Answer:

I think it is -3,-2.......

The cost for an eighth-grade party is $450 for room rental, entertainment, and
decorations, plus $20 per person for food. Tickets for the party are sold for $25. What is
the break-even point?

Answers

how many people????????????

At Smith's Sporting Goods,3 out of every 10 customers make a purchase. Write a ratio to compare the number of customers who make a purchase to the number of customers who do not make a purchase.

Answers

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

Find the volume of the cone.
Either enter an exact answer in terms of pie or use 3.14 for pie and round your final answer to the nearest hundredth.

Answers

Answer:

301.59

or

96 π

Step-by-step explanation:

on khan acad. if you click on the box, you can click on the pi icon to do it in terms of pi.

I always do in terms, but make sure to learn the other way :)

the formula for cone volume is π r^2  h/3

radius = 6

height = 8

π 6^2  8/3

π 36  8/3

π 36 x 8  /3

π 288 / 3

π 96

Please find the solution to the following system using substitution or elimination: y = -2x + 7 y = 3x - 8

Answers

Answer:

This is improper ma'am or sir , there is to many equal sighns , is there a mistake

Step-by-step explanation:

y= 7 x 3 +8           or     x =3 y 7 −24 7

(Sorry if its wrong )

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

Answers

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

What is an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors.​

Answers

Answer:

36m-6

If im wrong im sorry

what is -3 take away -1?

Answers

the answer to the question is -2

Problem 2
A jewelry store purchased a pair of earrings for $54
before a markup was applied.
There was a 90% markup. After the markup, a 6.5%
sales tax is added.
What is the total after markup and tax?

Answers

Answer:

$109.27

Step-by-step explanation:

100 + 90 = 190

54/100 X 190 = 102.60

100 + 6.5 = 106.5

102.60/100 X 106.5 = 109.269

monetary unit round to 2dp

109.27

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