The graph of a function g is a
transformation of the graph of
f (x) = 9x + 5, where g(x) is 60% of
f(x). Write a rule for g

Answers

Answer 1

Answer:

[tex]g(x)=5.4x+3[/tex], graph of f(x) vertically compressed by factor 0.6 to get g(x).

Step-by-step explanation:

The given function is

[tex]f(x)=9x+5[/tex]

It is given that the graph of a function g is a  transformation of the graph of

f (x), where g(x) is 60% of  f(x). So, we need to write a rule for g.

[tex]g(x)=60\%\text{ of }f(x)[/tex]

It means graph of f(x) vertically compressed by factor 0.6 to get g(x).

[tex]g(x)=\dfrac{60}{100}(9x+5)[/tex]

[tex]g(x)=0.6(9x+5)[/tex]

[tex]g(x)=0.6(9x)+0.6(5)[/tex]

[tex]g(x)=5.4x+3[/tex]

Therefore, [tex]g(x)=5.4x+3[/tex]. Graph of f(x) vertically compressed by factor 0.6 to get g(x).


Related Questions

Joe and Susan were arguing about how
many basic operations existed in math. Joe
argued that there are only 4 operations (addition,
subtraction, multiplication, and division). Susan
disagreed and said there are only 2 operations.
She made a case that when you subtract its just
adding a negative and when you divide its
multiplying by a fraction. Do you agree with
Susan? What is your opinion on this matter?

Answers

Answer:

The correct number of basic operations that exist in mathematics is four (addition, subtraction, multiplication and division) because the definition of an operation is the carrying out of a task by the application of principles and these four operation are arithmetic operations that have precedence rules or order of operations, such that we must first multiply or divide before adding or subtracting

Division is different from simply multiplying by a fraction because in Euclidean division, the result is a quotient and a remainder, which shows that division can yield more than one result while multiplication yields a single result

For subtraction and addition, one of the differences is that subtraction cannot be simply commuted

a - b = -(b - a)

Subtraction is non-associative;

a - b - c when arranged as (a - b) - c and a - (b - c), can yield different results depending on operation order which is unlike addition

Therefore, the four basic operations in mathematics are addition, subtraction, multiplication and division

Step-by-step explanation:

write an algorithm that outlines how to bake a birthday cake

Answers

Answer:

Start

Collect the ingredients

Mix the ingredients in a bowl to make the batter

Preheat the oven

Grease the baking pan with oil

Pour the batter into the baking pan

Place the pan into the oven

Set a timer

Bake the cake

Check the cake if needed

Take the baking pan out of the oven  when the timer turns off

Cool the cake and slice it

Stop

Step-by-step explanation:

The first thing to do is to gather the ingredients of cake like flour, sugar, butter, eggs etc.

Next thing is to mix all the ingredients together to make a mixture of cake.

Next task is to pre-heat the over for example pre-hear the oven to 320°F

Next task is to pour the prepared mixture in to a pan before baking it.

Now place the pan into the oven for baking.

Now set a timer for baking the cake.

You can check if the cake is being baked rightly in between the baking process.

Take the baking pan out of the oven  when the timer ends

Place the baking pan to cool it and then cut the cake in to slices.

Enjoy eating!

If the mean score on a stress test is 5, the standard deviation is 2, and the distribution is normal, what would be the mean value when converted to a z distribution

Answers

Answer: 0

Step-by-step explanation:

Given that :

Mean score on test = 5

Standard deviation on test = 2

Distribution = normal

The mean value when Converted to a z - distribution :

Zscore = (x - mean) / standard deviation.

Hence z score for the mean score will be :

X = mean score

Zscore = ( 5 - 5) / 2

Zscore = 0 / 2

Zscore = 0

Mean value when Converted to a z distribution will be 0

48(13/24)

multiply 48 and 13 over 24

Answers

Answer:

when 48 multiply by 24 the answer is 1152

when 13 multiply by 24 the answer is 312

48x24 1152
13x24= 312

{(1,3), (2, 5), (3,-4), (4, -3), (5, -1)} The above is DONE

Function or not a Function?​

Answers

Answer:

Yes it is a Function

Step-by-step explanation:

Because there are no same x-values with the same y-values

need help with this answer ​

Answers

Answer:

which one?

Step-by-step explanation:

Answer:

There is no question

Step-by-step explanation:

Kira received a $20.50 gift card for a photo center. She used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following. B = 20.50 - 0.06x What is the remaining balance on the card if Kira bought 50 prints?

Answers

Answer:

Did you check and see if anybody asked this question before on google

Step-by-step explanation:

brainliest for correct answer

Answers

Answer:

x=16  y=25  z=14.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=16

The sum of 3 times a number and 5 is 7 Write this as an expression. NEED ASAP

Answers

Answer:

(3x • 5 = 7)

your welcome

Kami is cooking dinner for a family reunion that 21 people are attending. If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?

Answers

Answer:

Kami will need 33.6 ounces of ground beef for the recipe

Step-by-step explanation:

From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.

Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces  = 33.6 ounces of ground to make the recipe for the entire dinner.

1. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
A worker learned the skill successfully. What is the probability that he was taught by method A?
2. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
What does a correct probability tree for this problem look like?

Answers

Answer:

The probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

Step-by-step explanation:

(1)

The information provided is:

A = if method A is used

B = if method B is used

S = successfully learning the skill

P (A) = 0.75

P (B) = 0.25

P (S|A) = 0.80

P (S|B) = 0.95

Compute the probability that a worker was taught by method A given that he learned the skill successfully as follows:

[tex]P(A|S)=\frac{P(S|A)P(A)}{P(S|A)P(A)+P(S|B)P(B)}[/tex]

            [tex]=\frac{0.80\times 0.75}{0.80\times 0.75+0.95\times 0.25}\\\\=\frac{0.60}{0.60+0.2375}\\\\=\frac{0.60}{0.8375}\\\\=0.716418\\\\\approx 0.72[/tex]

Thus, the probability that a worker was taught by method A given that he learned the skill successfully is 0.72.

(2)

The probability is attached below.

Which part of an atom is empty space?

Answers

Answer:

the part between the atom and the nucleus

The part between the nucleus and the atom

Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.

Answers

Is this for the connect it math page I’m stuck on it too

What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common multiple of 2, 4, and 9? help:(

Answers

Answer:

LCM of 5, 10, and 12 is 60

6, 10, and 12 is 60

2, 4, and 9 is 36

how do you solve this

Answers

Answer:

4x^-4/9y^6

Step-by-step explanation:

If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:

(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2

When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4

Going through:

2^2*(x^-2)^2 / 3^2*(y^3)^2

=4*x^-4 / 9*y^6

=4x^-4/9y^6

Hope this helped!

Is the product of 2x - 5 and 3x2 + 5x - 7 equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.

Answers

Answer:

see I need help for chemistry pls anyone here helps me I must submit before 10:30

A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea she has poured from the pitcher, y. What is the domain of this function? a \large 0\le x\le8 b \large \left\{1,2,3,4,5,6,7,8\right\} c \large 0\le y\le8 d \large \left\{0,1,2,3,4,5,6,7,8\right\}

Answers

Answer: The domain is:

0 pints ≤ x ≤ 8 pints.

Step-by-step explanation:

When we have a function:

y = f(x)

The domain is the set of the possible values of x (the possible inputs).

In this case, the value of x represents the amount of tea that she has poured from the pitcher.

Now, initialy the pitcher has 8 pints, so the smallest possible value of x is 0 pints (when she has not pured anithing) and the maximum value of x is 8 pints (when she has poured all the 8 pints).

So we have the domain:

0 pints ≤ x ≤ 8 pints

Your town got 3.44 inches of rain in June, 5.07 inches in July, and 4.28 inches in August. What was the average rainfall over these three months?​

Answers

Answer:

4.4366

Step-by-step explanation:

3.44+5.07+4.28=13.31

13.31/3=4.4366

hope this helps

Anyone help pls because this is confusing

Answers

Answer:

it is a 25 feet below sea level

Step-by-step explanation:

when you are below sea level you are a negative instead of a postive on sea level

what is 5.267 in word form

Answers

Answer:

five and two hundred sixty-seven thousandths

Step-by-step explanation:

Answer: Five and Two hundred sixty-seven thousandths.

Anything number that has a decimal you must have and.

Put a decimal in word form the word and becomes the decimal.

Any number without a decimal you do not need to put and.

So if 5.267 was actually 5,267 you'll just say five thousand two hundred sixty-seven.

Point P is 1/4 of distance from A (-8,-4) to
B (4,0)

Answers

Answer:

√10

Step-by-step explanation:

A (-8,-4) to B (4,0) is distance d

d=√(x2-x1)²+(y2-y1)²

d=√(4-(-8))²+(0-(-4))²

d=√12²+4²

d=√144+16 =√160

d=√16*10=4√10

p is 1/4 of distance = 1/4(4√10)=√10

0

Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta. ​

Answers

2340 es divisible por estos números. La resonanica wue entran en este número es porque todos son factores de este número.

Answer: The number 2340 is divisible by 2,3,5,9 and 10

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

Here's why

2340/2 = 1170 is a whole number, so it is divisible by 2

Note how the last digit is an even number, so overall the number is even and divisible by 2

---------------

Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.

We can see we get whole number results shown below

2340/3 = 780

2340/9 = 260

---------------

The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2

And we can see that

2340/5 = 468

2340/10 = 234

Showing 2340 is a multiple of 5 and 10.

A cashier has a total of 30 bills , consisting of $1 bills, $5 bills and $20 bills. The total dollar amount of these bills is $351. There are nine more $20 bills than $1 bills. How many of each bill denomination are there ?

Answers

Answer:

Five= 9 One= 6 Twenty= 15

Step-by-step explanation:

A cashier has a total of 30 bills, made up of ones, fives, and twenties.

o+f+t=30,

The number of twenties is 9 more than the number of ones.

t=9+o,

The total value of the money is $351.

o+5f+20t=351

so we have

o+f+t=30, t=9+o,

o+5f+20t=351

f = 9, o = 6, t = 15

p − (9 − (m + q)); use m = 4, p = 5, and q = 3

Answers

Answer:

  3

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  5 − (9 − (4 + 3))

  = 5 -(9 -7)

  = 5 -2

  = 3

Just replace the values,
5-(9-(4+3))= 5-(9-7))=5-2= 3

Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2 ​

Answers

Answer:

  substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

  x = 6y -8

  7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

  y = 7x +2

  -x +6(7x +2) = 8 . . . . . y-variable eliminated

__

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

   7(-x +6y) +(7x -y) = 7(8) +(-2)

  42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

  (-x +6y) +6(7x -y) = (8) +6(-2)

  -x +42x = -4 . . . . . . . . y-variable eliminated

__

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

On a test of 80 problems, Bill got 75% of the problems correct. How many question did he get correct?​

Answers

Answer: 60

Step-by-step explanation:

75% of 80 is 60.

Multiply 80 by .75 to get the answer.

How many question  he got correct is 60

Given:

Test = 80 problems,

Correct Answer=75%

Now let calculate How many  question he got correct

Numbers of correct question=80×0.75

Numbers of correct question=60

Inconclusion How many question  he got correct is 60.

Learn more here:

https://brainly.com/question/20981909

what goes in the green box and what is 6 * 28 ​

Answers

6*28= 168
You put 168 in the green box

Cooper's account
went into overdraft. To get back to a positive balance, he deposited money at a steady
rate of $23.34 per week. After 6 weeks, he had $102.56 in the account. What was the
balance when the account went into overdraft?

Answers

Answer:

the balance was when the account went into overdraft : 37.48 dollars

Step-by-step explanation:

deposit 23.34 for six weeks : 140.04 dollars

140.04-102.56 =37.48  the

the balance was when the account went into overdraft : 37.48 dollars

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2

Answers

Answer:

F(a) = a² + 3a - 2

F(x-1) = x² + x -4

Step-by-step explanation:

Note:

Domain is missing, assume domain

F(a)

F(x-1)

Given:

F(x) = x² + 3x - 2

Computation:

1. F(x) = x² + 3x - 2

So,

⇒ F(a) = a² + 3a - 2

2. F(x-1) = (x-1)² + 3(x-1) - 2

F(x-1) = x² + 1 -2x + 3x - 3 - 2

F(x-1) = x² + x -4

Need help as soon as possible

Answers

Answer:

D. 70

Step-by-step explanation:

if vx is bisector then 3z - 4 = z + 6 add like terms

2z = 10;and z = 5

To find the perimeter we add all side lengths

VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z

we know z = 5 so 14 × 5 = 70

Other Questions
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