What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

What Is The Equation When Y=5x+4 Is Reflected Over The X-axis, Y-axis & Y=x?

Answers

Answer 1

Answer:

A) [tex]y=-5x-4[/tex]

B) [tex]y=-5x+4[/tex]

C) [tex]y=\frac{x-4}{5}[/tex]

Step-by-step explanation:

So we have the equation:

[tex]y=5x+4[/tex]

Let's write this in function notation. Thus:

[tex]y=f(x)=5x+4[/tex]

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

[tex]f(x)=5x+4\\-(f(x))=-(5x+4)[/tex]

Simplify:

[tex]-f(x)=-5x-4[/tex]

B) To flip a function over the y-axis, change the variable x to -x. Thus:

[tex]f(x)=5x+4\\f(-x)=5(-x)+4[/tex]

Simplify:

[tex]f(-x)=-5x+4[/tex]

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

[tex]f(x)=5x+4[/tex]

Switch:

[tex]x=5f^{-1}(x)+4[/tex]

Subtract 4 from both sides:

[tex]x-4=5f^{-1}(x)[/tex]

Divide both sides by 5:

[tex]f^{-1}(x)=\frac{x-4}{5}[/tex]

And we're done :)


Related Questions

( -7v 4 - 5v ) - ( -5v 3 - 2v ) + ( -7v - 6v 4 - 4v 3 ) simplified

Answers

Answer:

-13v^4 + v^3 - 10v (if simplified)

Step-by-step explanation:

combine like terms

(-7v^4 - 5v) - (-5v^3 - 2v)+ ( - 7v - 6v^4 - 4v^3)

-7v^4 + -6v^4 = -13v^4

-5v^3 + -4v^3 = v^3 (the five becomes positive because of the negative sign infront of the parenthesis) Example: -(-5v^3) = +5v^3

-13v^4 + v^3 -5v -(-2v) -7v (now we have the -2 left alone in the parenthesis which means it becomes positive too) Example: -(-2v) = +2v

-5v +2v - 7v = -3v -7v = -10v

Answer: -13v^4 + v^3 - 10v

Write a real world situation the would represent -5 + -2 +3 = -4

Answers

Molly is in debt and owes the bank 5$, molly then buys a ice cream cone for 2$ with her credit card so now she is 7$ in debt aka she has -7 dollars in the bank. Molly then gives the bank 3$ in cash but she still owes the bank 4 dollars

what is the sum -6-13

Answers

The answer is -19 because ur subtracting a positive 13 away from a negative, which will make the answer a negative

Answer:

-19

Step-by-step explanation:

Let's assume we are owing two people 6 dollars  and the other person 13 dollars u have no gain

2. Find the solution to the following system of eguations using the addition method
4x - 5y = 13

X + 5y = -3

Answers

Answer: (2, -1)

Explanation: Since one equation has a -5y and the other equation

has a +5y, when we add the equations together, the y's will cancel out.

So we have 5x = 10 and x = 2.

To find y, plug 2 back in for x in either of the two original equations.

I have chosen to plug 2 into the second equation to get (2) + 5y = -3.

Solving from here, y = -1.

So our final answer is the ordered pair (2, -1).

Now, check your answer.

In a poll of 555 randomly selected students, 40% stated that they enjoyed statisticsa. Identify the number of students who say that they enjoy statistics? Round to the nearest whole student if necessary.b. Construct a 95% confidence interval estimate of the percentage of all students who say that they enjoy statistics.c. Can we safely conclude that majority of students enjoy statistics? Explain.

Answers

Answer:

a

[tex]N = 222[/tex]

b

[tex]0.36< p <0.44[/tex]

c

No we  can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n = 555[/tex]

   The  percentage that enjoyed statistics is [tex]\r p = 40% = 0.40[/tex]

   

Generally the number of student who say they enjoyed statistics is mathematically represented as

        [tex]N = 0.40 * 55[/tex]

=>     [tex]N = 222[/tex]

Given that the confidence  level  is  95%  then the  level of significance is mathematically represented as

        [tex]\alpha = ( 100-95)\%[/tex]

=>    [tex]\alpha = 0.05[/tex]

The critical value  of  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table  is  [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

 The  margin of error is mathematically represented as

             [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p (1 - \r p )}{n} }[/tex]

=>          [tex]E = 1.96 * \sqrt{ \frac{0.40 (1- 0.40 )}{ 555} }[/tex]

=>.       [tex]E = 0.04[/tex]

The 95% confidence interval is mathematically represented as

            [tex]\r p - E < p < \r p + E[/tex]

=>        [tex]0.40 - 0.04 < p <0.40 + 0.04[/tex]

=>         [tex]0.36< p <0.44[/tex]

No we  can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%

     

The ______ can be used to determine whether the graph a relation is a function.​

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

Is 93.43 an integer or not

Answers

Answer:

The answer is no

mean of 7
observations was calculated as 40. It was detected on rechecking that the value 63 was
wrongly copied as 36. Find the correct mean?​

Answers

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Because 63 is a multiple of 7

So.... 63/7

=9

So this shows us 9 is the mean

HOPE IT HELPS YOU!

PLEASE MARK ME AS BRAIN LIST IF MY ANSWER IS HELP FUL

Simplify the expression 5^3•5^-5

Answers

Answer:

5^8

Step-by-step explanation:

[tex]5^3\times\:5^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times\:a^c=a^{b+c}\\5^3\times\:5^5=5^{3+5}\\\\=5^8=390625[/tex]

The solution of the expression will be 5⁻².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5³ x 5⁻⁵. The expression will be solved as below,

E = 5³ x 5⁻⁵

E = 5³⁻⁵

E = 5⁻²

Hence, the expression will be E = 5⁻².

To know more about an expression follow

https://brainly.com/question/20440347

#SPJ2

Work your brain today y'all!!
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Right answer will get deleted.
I won against: I stole this post or sure the answer...

Answers

Answer:

We need to add to the $3.00 we have at the start, what they gave him:

He started with $3.00 and received $10.00:

3.00 + 10.00 = $13.00

Then (when having $13.00) received $30.00:

13.00 + 30.00 = $43.00

Then (when having $43.00) received $100.00:

43.00 + 100.00 = $143.00

Then (when having $143.00) he had another $7.00:

143.00 + 7.00 = $150.00

The answer is $150

I initially had $3

My mom gave me $10

= $10+$3

= $13

My dad gave me $30, my aunt and uncle also gave me $100

= $100+$13+$30

= $143

I had another $7

= $7 + $143

= $150

This makes it a total of $150

Hence the amount i have is $150

Please see the link below for more information

https://brainly.com/question/17490143?referrer=searchResults

f() = 37. What are the domain and range of f-12)?
А.
D: (-) R (-0,0)
B
D: (-) R: (0,-)
CD: (-00) R (-00)
D.
D: (0.) R (-)

Answers

Answer:

c

Step-by-step explanation:

Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form.
(-9,-11), (6,3)

Answers

6/8 skkssbjsjdsdhdhbddbd dhhdhshshs

Answer:

14/15

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

   = ( 3 - -11)/( 6 - -9)

    = ( 3+11)/( 6+9)

    = 14/15

The following random sample from a population whose values were normally distributed was collected.10 8 11 11The 95% confidence interval for μ is:a. 8.00 to 10.00b. 7.75 to 12.25c. 9.75 to 10.75d. 8.52 to 10.98

Answers

Answer:

Answer:

B

Step-by-step explanation:

First to find the sample mean

Xbar= summation x/n= 40/4= 10

The sample standard deviation is:

S= √summation(x-xbar)²/ n-1

=√6/3= 1.4142

The degrees of freedom

df= N-1= 4-1= 3

For 95% confidence level, critical value of t

t= 3.182

The 95% confidence interval is:

=Xbar plus or minus t' *8/√n

= 10 plus or minus 3.182(1.4142/√4)

= 10plus or minus 2.25

So 7.75 or 12.25

The graph below represents which of the following functions?

Answers

Answer:I believe the answer is C

Step-by-step explanation:

The y-intercept is 2

angel buys a 12-pack of granola bars for $9. What is the unit price?

Answers

Each granola bar cost $1.33 repeating.

Answer:

If 12 granola bars are nine dollars,

(12/9)

We divide the amount by the price!

Twelve divided by nine is about $1.33.

The image is rounded to the nearest thousandth

Change 64 hours to minutes

Answers

Answer:

3840 minutes

Step-by-step explanation:

60x64= 3840

can i have the brainliest, please????

Answer:3840 minutes

Step-by-step explanation:

there is 60 min in an 1 hr so there for you can multiple 64x60 which equals 3840

which of the following must describe an irrational number

Answers

Answer:

An Irrational number is a number that cannot be expressed as the ratio of two integers.

Example: [tex]\pi[/tex]

its numbers are infinite

1. Write the ratio 2/3 to 8 as a fraction in simplest form.

Answers

Answer:

2/3 +8/3=10/3

Step-by-step explanation:

here is a histogram of the yearly number of unprovoked attacks by alligators. what is the overall distributions

Answers

Answer:

Hello your question has some missing parts attached is the missing part

answer : slightly skewed to the right ( B )

Step-by-step explanation:

From the attached histogram related to the question above, it can be seen that the the right tail is longer than the left tail and this can help us draw the conclusion that the overall shape of the distribution is slightly skewed to the right

Data was collected for 221 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number of Guests Frequency 100 – 119 45 120 – 139 76 140 – 159 56 160 – 179 17 180 – 199 27 What is the class width for this GFDT?

Answers

Answer:

20

Step-by-step explanation:

From the above question, we were given the following information:

Number of Guests = Frequency

100 – 119 = 45

120 – 139 = 76

140 – 159 = 56

160 – 179 = 17

180 – 199 = 27

Class width can be defined as :

The difference between the upper limits of two consecutive classes, or the difference between the lower limits of two consecutive classes.

The class width for this GFDT : 139 - 119

= 20

To which set of numbers does -15 belong to? Select all apply.

Answers

Answer:

Integer

Step-by-step explanation:

On every number line we have both negative and positive numbers. So negative 15 is an integer

Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer

Answers

Answer:

0.66

Step-by-step explanation:

Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday.

Total fliers shared= 85+66+99

Total fliers shared= 250 fliers

Fraction of the fliers she gave out on Wednesday= fliers on Wednesday/total fliers

=99/150

= 33/50

= 3.3/5

= 0.66

Answer:

0.66

Step-by-step explanation:

A child walks due east on the deck of a ship at 3 miles perhour.
The ship is moving north at a speed of 16 miles per hour.
Find the speed and direction of the child relative to thesurface of the water.
Speed = mph
The angle of the direction from the north = (radians)

Answers

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

= 16.28 mph

From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

Which of the following is an example of probability-based inference?
A. representing data with a table
B. making observations
C. deciding that a claim is true
D. calculating a range

Answers

Answer:

deciding that the claim is true

Will mark brainliest

Answers

Answer:

12. 5x

13. 5/x-z

Step-by-step explanation:

12. product means multiplication so multiply 5 by x= 5x

13. quotient means division and difference means subtraction. so you divide 5 by x-z= 5/x-z

Answers:

[tex]\huge \boxed{{12. \ 5x}}[/tex]

[tex]\huge \boxed{{13. \ \frac{5}{x-z} }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The product is the result after multiplying values together.

The product of 5 and x is:

[tex]5 * x[/tex]

[tex]5x[/tex]

The quotient is the result after dividing values together.

The difference is the result after subtracting values together.

The quotient of 5 and the difference of x and z is:

[tex]\displaystyle \frac{5}{x-z}[/tex]

[tex]\rule[225]{225}{2}[/tex]

206 MAI
ALEKS Probabilities of draws with replacement
Toples
? SAMPLE QUESTION
A fair die is rolled 6 times. What is the probability of having no 4 and no 5 among
places.
(If necessary, consult a list of formulas.)
3

Answers

Step-by-step explanation:

Two of the sides are 4 and 5.  The other four sides are 1, 2, 3, and 6.

The probability of rolling a number other than 4 or 5 on any roll is 4/6, or 2/3.

The probability of rolling no 4s or 5s six times is:

P = (2/3)⁶

P ≈ 0.088

Help me please thank you

Answers

Answer:

y = 120º

Step-by-step explanation:

180 - (33 + 87) = 60

x = 60

180 - 60 = 120

y = 120º

or y = 33 + 87, because the outer angle of one angle equals the other two inner angles.

Answer: 120°

Step-by-step explanation:

If you add up all the triangles angles, it always is 180. So, when you add 33+87, you get 120. This means that x=60 because 120+60 =180.

Then, you also know that x and y together, make a 180° also because it is a straight line. So, y is equal to 120° because 60+120 = 180°.

Hope this helps! :)

20 - 10y - 7y + 9

please need help
ASAP
.................,...........................................,...,................

Answers

29-3y, because 20+9, and 10y-7y :)

Suppose you want to equate an expression to zero:

[tex]\[\begin{array}{l}20 - 10y - 7y + 9 = 0\\29 - 17y = 0\\17y = 29\\y = \frac{{29}}{{17}}\end{array}\][/tex]

The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?

Answers

Answer:

The teacher woll award the student 96 points for studying for 4 hours

Step-by-step explanation:

The student receives 72 point for preparing a test as long as 3 hours.

If she prepares for another test for 4 hours.

3 hours= 72 points

4 hours=( 72*4)/3

4 hours=72/3 *4

4 hours = 24*4

4 hours= 96 points

The teacher woll award the student 96 points for studying for 4 hours

Draw 3 points that are noncoplanar.

Answers

Answer:

Coplanar is when all 3 points are on the same plane

Noncoplanar is when they are not

For ex:

Coplanar->

.x, .z, and .s are all on the plane R

Noncoplanar->

.x, and .z are on plane R

.s is on plane Y

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