Someone know this? The graph of g(x)is the graph of f(x)=x2 shifted 4 units left, vertically stretched by a factor of 3, then shifted 5 units up. What is the function rule for g(x)?

Answers

Answer 1

The function g(x) is given as:  g(x) = 3 ( x + 4 )^2 + 5

Given data

f(x)=x2

shifted 4 units left

stretched by a factor of 3

shifted 5 units up

How to find the function rule for g(x)

The function g(x) is formed from the function f(x) by the following moves:

Shifting 4 units to left

To shift the graph 4 units to the left is given by

f(x) = x^2

f(x) = ( x + 4 )^2

Stretching by a factor of 3

to stretch by a factor of  3 means multiplying by 3

f(x) = 3 * ( x + 4 )^2

f(x) = 3 ( x + 4 )^2

Shifting 5 units up

This movement is shows in the y axis and is represented as follows

f(x) = 3 ( x + 4 )^2 + 5

At this stage the function rule for g(x) is completed hence

f(x) = 3 ( x + 4 )^2 + 5 = g(x)

and

g(x) = 3 ( x + 4 )^2 + 5

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Related Questions

A small town has two local high schools. High School A currently has 850 students and is projected to grow by 75 students each year. High School B currently has 1000 students and is projected to grow by 65 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine which high school is projected to have more students in 11 years.

Answers

Answer:

For High School A, let  denote the number of students after  years. Define  analogously.

Then  and .

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let  denote the number of students after  years. Define  analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that .

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that .

Setting the two equations equal to each other, we see that

So after 6 years the number of students in both high schools would be the same.


HELPP I AM STUCK IN THIS PROBLEM AND NEED IT BY TMR!!

Answers

Answer: 100  scores

Step-by-step explanation:

Let the number of points on your fifth test be x

Hence,

[tex]\displaystyle\\\frac{59+80+65+96+x}{5}=80\\[/tex]

Multiply both parts of the equation by 5:

300+x=80*5

300+x-300=400-300

x=100

Choose the numbers that are equivalent to three and two ninths. twenty-nine ninths, 3.2 repeating where the 2 is repeating, 322.2 repeating percent where the 2 is repeating twenty-nine ninths, 3.29, 329% six ninths, 3.2 repeating where the 2 is repeating, 322.2% six ninths, 3.29, 329%

Answers

Answer: D

Step-by-step explanation:

i did the test

What is the f(n) for -5?
A.4
B.1
C.-1
D.-6

Answers

The answer is C. -1

That is because those brackets make the number positive so it turns out to be 5-6 which equals -1

how do you turn this root into a power?

√5

Answers

Answer:

5^(1/2)

Step-by-step explanation:

Square root means to the power of (1/2)

cube root means to the power of (1/3)

and so on

(-13,2)(-17,9) find the slope of the line through each pair of points

Answers

Answer:  -7/4

Work Shown:

[tex](x_1,y_1) = (-13,2) \text{ and } (x_2,y_2) = (-17,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 2}{-17 - (-13)}\\\\m = \frac{9 - 2}{-17 + 13}\\\\m = \frac{7}{-4}\\\\m = -\frac{7}{4}\\\\[/tex]

A slope of -7/4 means that we move down 7 and to the right 4.

8th grade Mathematics

A line has a slope of -3 and a y-intercept of 3.

What is the slope of the line?

O. -9
O. -1
O. 1
O. 9

I appreciate all of your answers even if they are wrong, thanks!! :)

Answers

Answer:

1

Step-by-step explanation:


What, approximately, is the percent uncertainty for the measurement given as 1.59 m²?

Answers

Answer: The approximately percent uncertainty for the measurement is 0.62%.

Step-by-step explanation:

The given parameters:

Area of the measurement, A = 1.59 m²

The uncertainty in the measurement of the area = ±0.01 m²

The approximately percent uncertainty for the measurement is calculated as follows;

[tex](0.01/1.59)*100[/tex] %

=0.62%

Thus, the approximately percent uncertainty for the measurement is 0.62%.

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Answer: 0.6 percent.

Step-by-step explanation:   to find the uncertainty , we will take that absolute uncertainty _0.01 divided by the measurement of 1.59 _ times by a hundred percent and we get 0.6 percent.

Ella's bait and tackle shop sold 128,107 live worms in april and 102,278 live worms in may to the nearest thousand how many worms did ella's bait and tackle shop sell in april and may together

Answers

Ella's bait and tackle shop sells 230,385 in April and May.

Based on the given conditions, formulate:

Bait and tackle sold in 128,278 live worms in April

Bait and tackle sold in 102,278 live worms in May

So the total number of Bait and tackles sold in April and May =

                                                                                             =128,107+102,278

                                                                                              = 230,385

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Write two scoring questions pertaining to your game that you could give to another student to answer. each question must require the other student to operate with integers. include both an answer key and a solution key for each question.

Answers

The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,

In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.

Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.


Thus, the required question, solution, and answer are mentioned above.

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add 7.5m, 2.25 and 50cm and give results in metres​

Answers

The sum of the three values is 10.25 meters.

Here, we are given three measurements- 7.5m, 2.25m and 50cm

Since, we need to find the answer in meters, let us convert all the units to meters so that we can add them.

7.5 and 2.25 are already in meters so we do not need to covert them.

We only need to convert 50 centimeters.

As per mathematical conversions,

1 meter = 100 centimeters

This means that 50 centimeters will be,

100/2 centimeters = 1/2 meters

⇒ 50 centimeters = 0.5 meters

Now, we add all the given numbers,

= 7.5 + 2.25 + 0.5

= 9.75 + 0.5

= 10.25

Thus, the sum is 10.25 meters.

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Dorothy earns a regular hourly rate of $15.25 and earns double time and a half for weekend work. Dorothy worked her normal 40 hours and 8 weekend hours.

Answers

Answer:$976

Step-by-step explanation:

He said "l travel a lot in my job change into i direst speech

Answers

Step-by-step explanation:

the ratio between two circles vqjoizxcvu g çm

Assume that a company takes 4,500 hours to produce 15,000 units of a product. what is the cycle time for the company? (note: round answer to two decimal places.)

Answers

The cycle time for the company is 3.

What is unitary method ?

Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.

According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.

Given the company takes 4,500 hours to complete 15000 units

∴ In one hour he company can make 15000/4500 units which is

= 3 units per hour.

So the cycle time for the company is 3 units per hour.

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At the library, Newton borrows 8 books and Descartes borrows 4 books. 7 of their books are nonfiction. The rest are fiction. How many fiction books did they borrow together?​

Answers

5

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Total books borrowed = 8+4 = 12

No. of non - fiction books = 7

No. of fiction books = 12 -7

                                    = 5

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What is the solution to |14|-|-14|

Answers

Answer: The solution to |14|-|-14| is 0

Answer:

The answer is 0

Step-by-step explanation:

absolute value of 14 and -14 is 14 and 14 minus 14 equals 0

Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black

Answers

If joe walks by 21 cats in one week then 7 cats are black.

Percentage can be defined as a ratio that is expressed as fraction of 100.

For Example , 1%= 1/100

Given that Joe's town there are 33 black cats

Total cats = 100.

The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%

Number of cats joe sees in a week =21

Number of black cats joe sees in a week will be = 33% of 21

[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7

Therefore , If joe walks by 21 cats in one week then 7 cats are black.

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Is 30/3 a natural number

Answers

Answer:

Yes

Step-by-step explanation:

30/3=10

10 is a whole number, so it is a natural number.

Pls help me im stuck

Answers

Graphs the top on is the answer

What's the GCF of 30,60 and 78

Answers

Answer:

6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

First, take the prime factorization of all 3 numbers.

30: 15*2 ==> 5*3*2

60: 30*2 ==> 15*2*2 ==> 5*3*2*2

78: 39*2 ==> 13*3*2

Notice any common factors? That's the GCF.

GCF: 3*2=6

GCF: 6

For part a), sketch the figures on your own paper. Then, answer part b) below.
8
Figure 1
a. On your paper, sketch Figures 4 and 5.
b. How does the pattern grow? Explain how you know.
Submit Answer
Math formatter
Figure 2
insert into paragraph
Figure 3

Answers

Answer: the pattern grows by one square being added to the figure before it. I know because when I count the squares on figure one to three I count one block being added to each side.

Step-by-step explanation:

E. Sketch the graph of the following functions. Make a table of values. ​

Answers

The table for each function is presented below and its graphs are attached in this answer.

Function 1

x          3x-5

-2          -11

-1           -8

0           -5

1            -2

2           1

Function 2

x          -x+3

-2          5

-1           4

0           3

1           2

2           1

Function 3

x         x²-2x+1

-2          9

-1           4

0           1

1           0

2           1

Function 4

x         -3x²+1

-2          -11

-1           -2

0           1

1          -2

2           -11

Linear Function

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .

b= the constant term that represents the y-intercept.

For solving this question, you should plot the points  from the given equation and after that draw a line.

What is a Quadratic Function?

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

Function 1

First column represents the value of x and the second column represents the value of the function for each value of x

x          3x-5

-2          -11

-1           -8

0           -5

1            -2

2           1

See the figure graph1.

Function 2

First column represents the value of x and the second column represents the value of the function for each value of x

x          -x+3

-2          5

-1           4

0           3

1           2

2           1

See the figure graph2.

Function 3

First column represents the value of x and the second column represents the value of the function for each value of x

x         x²-2x+1

-2          9

-1           4

0           1

1           0

2           1

See the figure graph3.

Function 4

First column represents the value of x and the second column represents the value of the function for each value of x

x         -3x²+1

-2          -11

-1           -2

0           1

1          -2

2           -11

See the figure graph4.

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find the cumulative frequency

Answers

We get the cumulative frequency as:

                3

                7

               13

               22

               29

               36

               37

We are given the data:

Daily Low(°F)    Frequency

 35 - 39                    3

 40 - 44                    4

 45 - 49                    6

 50 - 54                    9  

 55 - 59                    7

 60 - 64                    7

 65 - 69                     1

We have to find the cumulative frequency of the data.

We will do this by adding the data values of previous interval.

Daily Low(°F)    Frequency     cumulative frequency

 35 - 39                    3                              3

 40 - 44                    4                              7

 45 - 49                    6                             13

 50 - 54                    9                             22

 55 - 59                    7                             29

 60 - 64                    7                             36

 65 - 69                    1                              37

Therefore, we get the cumulative frequency as:

                3

                7

               13

               22

               29

               36

               37

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I need help with all of these ☹️

Answers

1. The balloon's average rate of descent is 19 meters per second.

2. The average rate of change of price of one share is $7.896.

3. 0.5 and 0.4286

How do you divide the values?

1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:

= 95 meters / 5 seconds

= 19 meters per seconds.

2. Price of shares = $39.48

Number of days = 5 days

The average rate of change of price of one share will be:

= 39.48 / 5

= $7.896

3. The decimal value of 1/2 is 0.5.

Also, the decimal of 3/7 will be 0.4286.

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K
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the
yearly fee for a warehouse club membership is $100 and the reward rate is 4% on club purchases for the year, then the
linear equation y=100-0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the
yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year

Answers

The actual yearly cost of the membership if club purchases for the year is $40

What is actual yearly cost of the membership of the club?

The annual membership cost of Membership warehouse clubs  is modelled based on the fact that yearly fee is $100 and that 4% is given off purchases the member make in the course of year, hence, the actual yearly cost is modelled as shown below:

y=100−0.04x

y= actual yearly cost of the membership=unknown

x=cost of purchases in the year=$1,500

y=100-0.04($1500)

y=100-60

y=actual yearly cost of the membership =$40

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Full question:

Membership warehouse clubs offer shoppers low​ prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is​ $100 and the reward rate is 4​%

on club purchases for the​ year, then the linear equation

y=100−0.04x  models the actual yearly cost of the membership​ y, in dollars. Here x represents the yearly amount of club​ purchases, also in dollars.

​a) Determine the actual yearly cost of the membership if club purchases for the year are $1500.

Is height discrete or continuous data? Give a reason for your answer.



please help​

Answers

Answer: Continuous data

Step-by-step explanation:

210 sticks of gum each stick sold for 50 cents how much money did i make

Answers

You made $105

210 x .50 = $105

Write the equation for the horizontal line that contains point G(4, 8).
Oy=8
O x = 8
O x = 4
O y = 4

Answers

Answer:

y = 8

Step-by-step explanation:

A horizontal line will have the form y = k where k is a constant and determines the distance from the x axis. All points on this line will have a constant y value for all x values

Since the line passes through (4,8) we have y = 8 as the equation for the line

Please help dont be like last guy if you do help i will give you extra points

Answers

The quotient of 455 ÷ 36 is 12 with a remainder of 23.

How to calculate the value?

It should be noted that the subtraction of 360 from 455 will be 95.

Then after that 72 is subtracted from 95 and this will be 23.

Therefore, the quotient is 12 with a remainder of 23.

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Anna is buying tomatoes and jalapenos to make salsa. Tomatoes cost $2.99​ per pound and jalapenos cost $1.33​ per pound. Anna spent $12.65​ buying tomatoes and jalapenos. The relationship between pounds of tomatoes, t​, pounds of jalapenos, j​, and the total cost is represented by the equation 2.99t+1.33j=12.65​. Write an equation that makes it easy to find the number of pounds of jalapenos if we know the number of pounds of tomatoes purchased.

Answers

The equation that makes it easy to find the number of pounds of jalapenos is j = (12.65​ - 2.99t)/1.33.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Tomatoes cost $2.99​ per pound and jalapenos cost $1.33​ per pound. Anna spent $12.65​ buying tomatoes and jalapenos.

2.99t + 1.33j = 12.65​

Make the subject as j and solve the equation for j:

1.33j = 12.65​ - 2.99t

j = (12.65​ - 2.99t)/1.33

Thus, the equation that makes it easy to find the number of pounds of jalapenos is j = (12.65​ - 2.99t)/1.33.

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