Without graphing, determine the vertex, domain, and range for each of the functions. Does the vertex of each function represent a maximum point or a minimum point? Show all algebraic work to calculate the vertices.

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

Answers

Answer 1

Answer:

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

f(x)=4x+3


Related Questions

Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)​

Answers

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

What is 3/x - 2/x = 1/5​

Answers

Answer:

x=5

Step-by-step explanation:

See image below:)

Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?

Answers

Answer:

6 days

Step-by-step explanation:

1 L = 1000 mL

3 days = 1500 mL = 1.5 L

9 L divided by 1.5 L = 6 days

Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.

Answers

Answer:

x=-69/7

Step-by-step explanation:

f (-1) f (x)=(x-10) 3+4

-1=(x-10) 3+4

-1=(x-10) 7

You will multiply 7 by (x-10)

-1=7x-70

Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x

-7x=-70+1

-7x=-69

So you will divide both sides by-7

-7x/7=-69/7

x=-69/7

You have been assigned to conduct a survey of college and career intentions of high school students at a local high school. You need to start by drawing a simple random sample of 40 students. Which of the following is most likely to produce a simple random sample?

a. Select the first 40 students to enter the library.
b. Select every 10th student entering the school cafeteria until 40 students are selected.
c. Select 40 students at random (by using software) from the official school roster.
d. Select 10 each of first-year, second-year, third-year, and fourth-year students.
e. Select the first 40 students to arrive at school in the morning

Answers

Answer:

Textbook Solutions

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mathstatistics and probabilitystatistics and probability questions and answersProblem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High ...

Question: Problem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High School Students At A Local High School. You Need To Start By Drawing A Simple Random Sample Of 40 Students. Which Of The Following Is Most Likely To Produce A Simple Random Sample? Select The First 40 Students To Enter The Library Select Every 10th Student ...

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Problem 9 You have been assigned to conduct a survey of college and career intentions of high school students at a local high

Show transcribed image text

Step-by-step explanation:

Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr

Answers

Answer:

12

Step-by-step explanation:

Formula:

C = 2πr

Given:

r = 2, π = 3

The circumference:

C ≈ 2*2*3 = 12

Hope this help!!!

Have a nice day!!!

Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney's age?​

Answers

9514 1404 393

Answer:

  Sydney is 45

Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

  s +(s -14) = 76

  2s = 90 . . . . . . simplify, add 14

  s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

Check

  Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

Answer:

x + (x - 14) = 76

2x - 14 = 76

2x = 90

x = 45

Sydney is 45

45 - 14 = 31

Devaughn is 31

31 + 45 = 76 ✅

5x5x5x5x5 in expression in exponential form

Answers

Answer:

5^5

Step-by-step explanation:

There are 5 fives being multiplied together.

The expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To express the expression 5x5x5x5x5 in exponential form, follow these steps:

Step 1: Count the number of times the base (5) is multiplied by itself (the number of factors).

Step 2: Write the base (5) followed by the exponent, which is the number of factors from Step 1.

In this case, the base is 5, and it is multiplied by itself 5 times:

5x5x5x5x5 = [tex]5^5[/tex]

So, the expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To know more about exponential form, refer here:

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Module 07: Project Option 1
Instructions
First, you need to come up with an activity. If you are having trouble thinking of what to do, here are some ideas:
• How many jumping jacks can you do in a minute?
• How many times can you write your full address in a minute?
• How many points can you score in a game in three minutes?
• How many pages of a book can you read in four minutes?
• How far can you walk in five minutes?
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Now that you have decided what your activity is going to be, it’s time to get started.

Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
2. How long did you spend doing your activity?
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
4. Which of these variables is your dependent variable?
5. Which one is the independent variable?
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

(Questions 1 to 3 are worth 1 point each; questions 4 to 6 are worth 2 points each.)
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)
0 0
1
2
3
4
5

Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

Follow-up questions

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
8. How long would it take you to reach 100 for the number of times you did your activity?
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

Answers

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function

[tex]y = f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x) = 24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]

[tex]y: \text{number of suburis}[/tex]

[tex]x: \text{time}[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

Factorize by splitting the middle term: 100 x2 – 20x + 1.

Answers

I remember working on this like a few days ago the answer was 35 hope this helps

Answer:

Below;.

Step-by-step explanation:

100x^2 - 10x - 10x + 1

= 10x(10x - 1) - 1(10x - 1)

= (10x - 1)(10x - 1).

Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?

Answers

A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,

AB + BC = AC

4x - 3 + 2x + 1 = 7x - 6

6x - 2 = 7x - 6

-2 + 6 = 7x - 6x

4 = x

Now, since the value of x is 4, the measurement of AB is,

AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units

Hence, the length of the sides AB is 13 units.

Learn more about Line:

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If d(4)=68. Thus, joe travels 68 mi in 4 hours. How many mi does Joe travel in 45 min

Answers

Answer:

12.75 miles

Step-by-step explanation:

Changing hours to minutes

4 hours 4*60 = 240 minutes

Now we can use a ratio to solve

68 miles            x miles

-------------    = -----------------

240 minutes        45 minutes

Using cross products

68*45 = 240x

Divide each side by 240

68*45 /240 = x

12.75 miles

Answer:

12.75 MILES

Step-by-step explanation:

if he travels 68 miles in 4 we should find how many miles per hour

to find this we divide 68/4 which is 17

So if he is going 17 MPH then to find how far he travels in 45 min we should multiply by 3/4

17 x 3/4 is 12.75

12.75 MILES

Which equation represents the slope-intercept form of the line below?
.
y-intercept = (0, 2)
slope = -
O A. y=-x-2
O B. y=-3x+2
C. y=2x-3

Answers

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

How would you classify the number 121?


A. Perfect square

B. Perfect cube

C. Both a perfect square and a perfect cube

D. Neither a perfect square nor a perfect cube

Answers

A . Perfect square

Step-by-step explanation:

This is your answer

Hope this helps you :)

Answer: B- Perfect cube

Step-by-step explanation: I am smort

Graph the solution to the following linear inequality in the coordinate plane. 5 x - y > -3

Answers

Given:

The inequality is:

[tex]5x-y>-3[/tex]

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

[tex]5x-y>-3[/tex]

The related equation for this inequality is:

[tex]5x-y=-3[/tex]

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

[tex]5(0)-(0)>-3[/tex]

[tex]0>-3[/tex]

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

Can someone please help? U get points just from typing and I would really appreciate it.


The sum of two consecutive numbers is 131. What are the two numbers?
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131


No links or fake answers pls. Thank you for understanding.

Answers

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis

Answers

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

A.______number on the right of zero has an opposite on the left of zero.

B.________ is neither positive nor negative.

C. Integers are______
and negative numbers.

D. A number line is used to represent____

E. Numbers greater than zero are called ______

F. Numbers smaller than zero are called______


please help me guys​

Answers

Answer:

1.  A positive

2. 0/zero

3- Positive

4- Positive and negative numbers

5- Positive numbers

I'm not too sure but I hope this helps.. you can wait for another answer to be sure

You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. Give your answer as a decimal, to two places

Answers

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Thus, Margin of error  = [tex]Z_{critical}[/tex] × σ / √n  ([tex]Z_{critical}[/tex] at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

What is the volume of this rectangular prism? All dimensions are in centimeters.



40 cm3
80 cm3
22 cm3
11 cm3

Answers

Answer:

Volume = 40

Step-by-step explanation:

Formula for Volume: Volume = w*h*l

Plug in the values: Volume = 5*4*2

Volume = 40

I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?

Answers

9514 1404 393

Answer:

  A.  -1

Step-by-step explanation:

The table shows that g(x) = 0 for x = -1.  (third row)

The other solution is x = -1.

what is the area of Ghana?​

Answers

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

The store charges $2.50 for a bottle of soda and $1.25 for a bottle of water. Write an equation in standard form for the number of soda (s) and water (w) bottles that you can buy with $15. PLZ HELPPPP

Answers

Answer:

2.50 + 1.25= 3.75

15.00 - 3.75= 11.25

Step-by-step explanation:

Solve (5y+2)(y+2)=3(5y+2)

Answers

Answer:

y=1, y=-2/5

Step-by-step explanation:

Answer:

y= -2/5 .   y= 1

Step-by-step explanation:

If f(x) = -2[x] + 8, what is f(-1.8)?
4
6
10
12

Answers

Answer:

it's 12!

Step-by-step explanation:

Answer:

C. 10

Step-by-step explanation:

First, you plug in f(-1.8) into the original equation.

f(-1.8) = -2 (-1) + 8

The reason why I rounded -1.8 to -1 is because we're using the ceiling function, which means we need to round up (the brackets tell you in Edge but not on Brainly). Rounding up a negative number means we are going closer to 0. The next whole number close to -1.8 on the right will be -1.

Now solve:

f(-1.8) = 2 + 8 = 10

The answer is 10 if f(-1.8)

If you need more proof I took the quiz as well:

Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13

Answers

Answer:

0.5

Step-by-step explanation:

Given data

[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5

cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n }.
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u k = + (2,3, 1) 2 là một tổ hợp tuyến tính của W , và suy ra [ ] u W

Answers

B

Only answering for points don’t take it seriously

Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
|x − 1| = |3x + 8|

Answers

Answer:

ndwiqnubuyohaiuhdiupas

I GOT A BLEEE

Step-by-step explanation:

Answer:

- 9/2 , - 7/4

Step-by-step explanation:

You can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps. and it is free.

What did she do wrong??

Answers

Answer:

She did nothing wrong

Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a numerical answer.

Answers

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

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