Write a logarithmic function that represents the following transformations applied to the parent function: Reflection over the y-axis, a vertical stretch by a factor of (5/3) a transformation right 2 units, and a transformation down 6 units.

Answers

Answer 1

Answer:

Original function;

y = logbX

Transformation;

y = -5/3logb(x + 2) - 6

Step-by-step explanation:

General form of a logarithmic function is given below;

y = logb X (log to base b)

Reflection over the y-axis

y value remains same, x becomes negative

y = - logb X

Vertical stretch by a factor of 5/3

This means that we multiply the whole function by 5/3

That will be;

y = -5/3logbX

Transformation right 2 units

This means that we add the value of 2 to the x-axis value

y = -5/3logb(x + 2)

transformation down 6 units

This means that we subtract 6 from the total y value

y = -5/3logb(x + 2) - 6


Related Questions


If it takes 9 3/4 yards of material to make curtains for 3 windows, how much material is needed
for 11 windows?

Answers

Answer:

You would need 35.75 or 35 3/4 yards of material

Step-by-step explanation:

You must take 9 3/4 and divide it by three so we can figure out exactly how much material is needed for just one curtain. We figure the number 3.25 or 3 1 /4. There are 11 windows total windows, and 3 1/4 per window; therefore, you must multiply the two to get your final answer which would of course be 35 and 3/4 yards of material.

I hope this helped!

Have a great day/night and good luck with your school endeavors! you're doing great!!

A 12,000 gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will take it to fill the entire pool

Answers

Answer:

30

Step-by-step explanation:

The diagonals of square LMNP intersect at K. Given that LK = 1, find the measure of MP.

Answers

Answer:  MP = 2

========================================================

Work Shown:

LK = 1 is given

LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.

Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.

So,

LN = LK+KN

LN = 1+1

LN = 2

MP = LN

MP = 2

Which are functions and which are not

Answers

Answer:

B, A, B

Step-by-step explanation:

the 1st A does not pass and the 1st B does(it passes the horizontal line test)

the 2nd A passed the 2nd B does not

the 3rd A passes (because one input corresponds to only one output) and the 3rd B does not pass

I need help I forgot how to this
AND THANK YOU

Answers

Answer:

x=-2

Step-by-step explanation:

same on both sides

Answer: x=-2
Look at where the curve splits in the middle, that is where the line of symmetry is.

Please help me solve this answer.

Answers

Answer:

1 hour 2 min 20 sec

Step-by-step explanation:

Given

6 min video ⇒ 17 min upload

Upload time of 1 min video

1 min video ⇒ 17/6 min upload

Time to upload of 22 min video

22 min video ⇒ 22*17/6 = 62 1/3 min = 1 hour 2 min 20 sec upload

on the occasion of New year a super market announces a discount of 20
percent on every item. if they labeled price of an article is rs 840 how much should a customer pay for it ​

Answers

Step - 1: Calculate 20% of 840.

[tex]840 \times \frac {20}{100} = 168[/tex]

Step - 2: Subtract from 840.

[tex]840-168=672 [/tex]

Your running a fuel economy study. You find a blue car. It travels 44 1/2 miles on 1 1/4 gallons of gasoline another car is red it can travel 20 4/5 miles on 4/5 gallons of gasoline what is the unit rate for miles per gallon for each car? Which car could travel the greatest distance on one gallon of gasoline

Answers

Given:

Blue car travels [tex]44\dfrac{1}{2}[/tex] miles on [tex]1\dfrac{1}{4}[/tex] gallons of gasoline.

Red car travels [tex]20\dfrac{4}{5}[/tex] miles on [tex]\dfrac{4}{5}[/tex] gallons of gasoline.

To find:

The unit rate for miles per gallon for each car and find which car could travel the greatest distance on one gallon of gasoline.

Solution:

We know that,

[tex]\text{Unit rate}=\dfrac{\text{Total distance covered by the car}}{\text{Number of gallons of gasoline}}[/tex]

Using this formula, the unit rate of blue car is

[tex]\text{Unit rate of blue car}=\dfrac{44\dfrac{1}{2}}{1\dfrac{1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{\dfrac{88+1}{2}}{\dfrac{4+1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{89}{2}\times \dfrac{4}{5}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{178}{5}[/tex]

[tex]\text{Unit rate of blue car}=35.6[/tex]

Unit rate of red car is

[tex]\text{Unit rate of red car}=\dfrac{20\dfrac{4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{\dfrac{100+4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{104}{5}\times \dfrac{5}{4}[/tex]

[tex]\text{Unit rate of red car}=26[/tex]

Therefore, the unit rate of blue car is 35.6 miles per gallon of gasoline and  unit rate of red car is 26 miles per gallon of gasoline.

Since, unit rate of blue car is greater than the red car, therefore blue car travel the greatest distance on one gallon of gasoline.

PLEASE ANSWER ANYONE! IM GIVING MOST OF MY POINTS AWAY!

if quinn put $450 in a savings account that earned 3.5 interest, how much money would quinn have after 2 years? ***(use the simple interest formula I = pet to solve this problem)***

Answers

Step-by-step explanation:

I think it is $4,821 because that is what I got as an answer. I hope this helped!

round 0.0063 to 2 decimal places

Answers

Answer: 0.63
Step-by-step Explanation:
Estimation is usually a rounded-off figure where you can find a overall or a round figure of numbers such as decimals.

a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12 cubic feet per minute, find the rate at which the water level is dropping when radius of water level is 4ft.

Answers

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

CAN SOMEONE HELP ME PLSSSS !!!!!!

Answers

Answer:B

Step-by-step explanation:

Answer:

[tex]5 {g}^{2} - 11 {g}^{} + 8[/tex]

Step-by-step explanation:

[tex]this \: is \: your \: answer \: ie \: option \: b \\ hope \: it \: helps \\ need \: thanks \: and \: brainliest...[/tex]

Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

9x + 22y ≥ 220

x + y ≤ 16

Step-by-step explanation:

First x is number of hours washing cars and y is number of hours tutoring.

He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.

That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.

He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.

please give thanks by clicking the heart button :)

The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.

What is equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.

Given:

Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,

Total working hour = 16

Total money to be earned = $220

Write the equation of the above statement as shown below,

x + y = 16

9x + 22y  = 220

Solve the above equation using a graph,

y = 5.85 and x = 16 - 5.85 = 10.2

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Jimmy could type 80 words in a minute last week. After training, he can type 100 words now. What is the percentage increase of Jimmy's typing speed?

Answers

Answer:

25%

Step-by-step explanation:

100-80=20

80÷20=4

100÷4=25

25%

If we subtract half of a number from 20, we get 10, then the number equals; a) -20 b) 60 c) 20 d) -60

Answers

Answer:

Step-by-step explanation:

let the number be x

20-x/2=10

40-x=20

40-20=x

x=20

6x - 7 = 11 show the step as well please

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 7 = 11

First, add 7 to 11 which gets you 6x = 18

Then, divide 18 by 6 to solve for x which gets you 3

This means that x = 3

(hope this helps)

Answer:

Step-by-step explanation:

6x-7+11

(add 7 to both sides, canceling out the negative 7 on the left, and resulting in a sum of 18 on the right)

6x=18

(divide both sides by 6, which should isolate x because the sixes will cancel each other out, and give you a quotient of 3 on the right side)

x=3

which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive

Answers

Identity property of multiplication is shown

PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!

Answers

Answer:

6

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have a great day and consider marking this brainiest if you do thank you in advanced!

Pls HELP I will give 20 points and brainliest

Answers

Area -78 cm²

perimeter-58

green=53/78

blue=23/78

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

The bird is made of 79 squares each square is 1u^2(u=unit, either cm or inch)

the area of the bird is 79u^2

the perimeter is 64u^2 you count all edges

51/79 squares are green, 51u^2

26/79 squares are blue, 26u^2

Translate the sentence into the equation and then solve the equation


Ten is the same as the quotient of n and five increased by six

Answers

10n= 5+6 honestly I just guessed I’m just a beginner

Simplify the following.
-(3z)2
A. 6z
B. 9z2
C. -9z2
D. -6z2
E. 6z2

Answers

Answer:

-9x²

Step-by-Step explanation:

-(3x)²

In PEMDAS, we solve the exponent first then multiply.

-(3x)²

-(9x²)

-9x²

is 0.01 less than 0​

Answers

Answer:

no

Step-by-step explanation:

No 0.01 is not less than 0

Because 0 means nothing

And

0.01 means have something

So

0.01>0

How many girls if its 4/3 and 120 students

Answers

Answer:

well for me I think

Step-by-step explanation:

4/3×120

480/3

160

Write the equation you would use to solve for X. Then solve.​

Answers

Answer:

Step-by-step explanation:

Do a calculation

Factorize -6m plus 9

Answers

Answer:

[tex]3(-2m + 3)[/tex]

Step-by-step explanation:

Given

[tex]-6m + 9[/tex]

Required

Factorize

Expression: [tex]-6m + 9[/tex]

Start by expressing the expression as a sum of products.

[tex]-6m = 3 * -2m[/tex] and

[tex]9 = 3 * 3[/tex]

So;

[tex]3 * -2m + 3 * 3[/tex]

Notice that constant 3 is common in both terms.

This can then be factorizes as:

[tex]3(-2m + 3)[/tex]

Hence:

[tex]-6m + 9 = 3(-2m + 3)[/tex]

Answer:

3(-2m+3)

Step-by-step explanation:

18 Which expression uses the greatest common factor and distributive property to write 18 1 24 as a product? Circle the letter of the correct answer.

Answers

Answer:

[tex]18 + 24 = 6 * 7[/tex]

Step-by-step explanation:

Given

[tex]18 + 24[/tex]

Required

Write as a product

Start by expanding the expression with a common factor

[tex]6 * 3 + 6 * 4[/tex]

Factorize:

[tex]6 ( 3 + 4)[/tex]

Express 3 + 4 as 7

[tex]6 (7)[/tex]

Convert () to multiplication

[tex]6 * 7[/tex]

Hence:

[tex]18 + 24 = 6 * 7[/tex]

-8d-5d+7d=72 can you help me figure out d

Answers

Answer:

d = -12

Step-by-step explanation:

Add -8 -5 +7

take that number : -6

72 divided by -6 = -12

d = -12

There are 27 students in Mrs. Augello’s math class. The number of boys is three less than the number of girls. Write a system of equations that represents the number of boys and girls.

Answers

Answer:

x + y = 27

y = x - 3

Step-by-step explanation:

x = # of girls

y = # of boys

first there are a total of 27 students so # of girls plus # of boys has to be 27.

then number of boys is 3 less than number of girls. This means x - 3 = y or y = x-3

please click heart to give thanks :)

x is the amount of girls and y is the amount of boys

the system of equations would be
y=x-3
x+y=27

mark me brainliest if the answer is correct, thank you in advance :)

A) Find the values of k for which the equation x 2 − 2(2k + 1)x + (k + 2) = 0 has 2 equal roots.

Answers

Answer:

1/4 and -1

Step-by-step explanation:

For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.

Discriminant D = b² - 4ac = 0

Given the equation

x^2 − 2(2k + 1)x + (k + 2) = 0

From the equation, a  = 1, b = -2(2k+1), c = k+2

a = 1, b = -4k - 2, c = k+2

Substitute into the discriminant formula;

Recall that: b² - 4ac = 0

(-4k - 2)²-4(1)(k+2) = 0

16k²+16k + 4 - 4k - 8  =0

16k²+12k - 4 = 0

16k²+16k - 4k - 4 = 0

16k(k+1)-4(k+1) = 0

16k - 4 = 0 and k+1 = 0

16k = 4 and k = -1

k = 4/16 and k = -1

k = 1/4 and -1

Hence the required value of k is 1/4 and  -1

yo i need help whit how i got the answer plz help me ​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Let us first set up an equation.

(3x - 7) + (2x + 3) = 90

5x - 4 = 90

5x = 94

x = 18.8

Hope this helps!

Please mark as brainliest.

Answer:

D  m<A = 49.4 deg

Step-by-step explanation:

Since the lines are perpendicular, the sum of the measures of angles A and B is 90 deg.

m<A + m<B = 90

3x - 7 + 2x + 3 = 90

5x - 4 = 90

5x = 94

x = 18.8

m<A = 3x - 7 = 3(18.8) - 7 = 56.4 - 7 = 49.4

Answer: D  m<A = 49.4 deg

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