What are the key aspects of the graph of f(x) = x2 - b2 where b is a real number?​

Answers

Answer 1

Answer:

Sample Response: The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2.

Step-by-step explanation:

Edge 2021

Answer 2

Answer:

The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2.

Step-by-step explanation >: )

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Related Questions

4(g - h) + 10 , when g = 12 , h = 7

Answers

Answer: 30

Step-by-step explanation:

4 (12 - 7 ) + 10

Do 12 - 7 first.  It'll equal 5

4(5)+10

Now multiply 4 and 5.

It'll be 20.

20+10 =30

Answer:

30

Step-by-step explanation:

4(12-7)+10          or:         4(12-7)+10

48-28+10                          4(5)+10

20+10                                 20+10

30                                        30

you can do it either way  hope this helps

Two trains, Train A and B, weigh a total of 251 tons. Train A is heavier than train B. The difference of their weights is 181. What are the weights of each train?

Answers

Answer: A = 216; B = 35

Step-by-step explanation:

Based on the information given in the question, we can then make it into a mathematical equation. This will be:

A + B = 251 ....... i

A - B = 181 ....... ii

From equation i,

A = 251 - B

Put the value of A into equation ii

A - B = 181

(251 - B) - B = 181

251 - B - B = 181

251 - 2B = 181

2B = 251 - 181

2B = 70

B = 70/2

B = 35

Since A = 251 - B

A = 251 - 35

A = 216

shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amount of money in her account, A dollars after n weeks.

Answers

540-35x= y

540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.

SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context

Answers

Answer:

The population is 384 bacteria at 2pm

Step-by-step explanation:

Because u just need multiplied

math easy question?
pls help

Answers

step 2

because she should substitute the negative sign to 6
The correct answer should be step 2, B is correct choice (step 2)

A right rectangular prism is shown. Find the surface area of this prism. A) 80 square feet B) 164 square feet C) 196 square feet D) 220 square feet PLEASE HELP

Answers

it would be better if you put a picture next time but i’ll just cauclate a normal rectangle to get the normal answer which is C) 196 square ft

Answer:C 196

Step-by-step explanation:

Find the value of x.




110


80


40


35

Answers

Answer:40

Step-by-step explanation:

The answer is 40:)))

Which table correctly shows Brian and Robert's heights in both feet and inches?​

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Ben purchases a coffee and several cupcakes. If he spends a total of $14.40, how many cupcakes did he purchase. Prices Coffee: .............. $1.90 cupcake: .................$2.50

Answers

Answer:

5 cupcakes

Step-by-step explanation:

5 ×$2.50 is $12.50+ $1.90 is $14.40

Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.

3, 10, 6, 9, 7, 4

Answers

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

Solve this PLZZZZZZ

Answers

Answer:

X = -1, 3

Step-by-step explanation:

PLEASEEE HELP!
The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up?

Answers

Answer:

4

Step-by-step explanation:

120/30=4

12 volunteers already signed up.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

We have,

She knows that finishing the shed will take 120 work hours.

let n be the number of volunteers.

So, 1/n - 1/(n+1)= 1/120

(n+1-n)/n(n+1)= 1/120

1/n²-n = 1/120

n² - n= 120

n² - n -120= 0

n= 11.46 and n= -10.46

Thus, 12 volunteers already signed up.

Learn more about Algebra here:

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what is the value of b?​

Answers

Answer:

The b-value is the middle number, the number next to the x

Step-by-step explanation:

Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.


Select all true statements below based on this information.



A The cost for 2 tickets is $20. The cost for 2 tickets is $20.


B The cost is $7 per ticketThe cost is $7 per ticket


C For $42 you could get 6 tickets. For $42 you could get 6 tickets.


D 12 tickets would cost you $60

Answers

Answer:

B

Step-by-step explanation:

28/4=7 therefore, each ticket is $7.

Answer:

B, C

Step-by-step explanation:

A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.

B is right due to the fact that each ticket is $7 if you divide $28 by 4.

C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)

D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.

3 in. 6 in. 5 in. Find the surface area of the shape above, A 14 in 2 B 56 in? C 90 in? D 126 in​

Answers

Answer:

C) 90in

Step-by-step explanation:

3 x 6 x 5 = 90

Hurrrry
Djdbdidbdudhhebfjfnifnf

Answers

Answer:

I don't know that answer will come back to you

Plz help i know it is a lot, but could somebody, do al least a few?? plz (T-T)

Answers

Answer:

Step-by-step explanation:

Wow why your teacher give such things for you to do it today , you should ask you math teacher to help you , and I think the thing look like it already answer

write your answer (168 ÷ 7) × 3^2 - 43

Answers

Answer:

173

Step-by-step explanation:

Answer:

173

Step-by-step explanation:

Choose the letter of the point which is at (3.5, 3.5) in the following figure.

Answers

J.

3.5 across, 3.5 up

the perimeter of a square patio is (8x-28). what is the length of one side?

Answers

Answer:

choice 1) 2x - 7

Step-by-step explanation:

(8x - 28)/4 = 2x  -7

what is the mixed number: 1 and 3/4 as a percent​

Answers

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

Find the sum of the first 6 terms of the following series, to the nearest integer.

180, 30, 5, ...

Answers

Answer:

Step-by-step explanation:

First solve for the common ratio:

[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]

Use the geometric summation equation to solve for sum:

[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]

The sum of the first 6 terms of the following series is 540.

What is the geometric series?

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The sum of the terms of the geometric sequnece is given by;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

The common ratio of the sequence is;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]

The sum of the first 6 terms of the following series is;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]

Hence, the sum of the first 6 terms of the following series is 540.

Learn more about geometric sequence here;

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12 am 6om 60 A 180 cm B) 160 cm C 200 cm D 240 cm? ~PLEASE RESPOND AND LOOK AT PIC~ ​

Answers

Option A. 180 centimeter square

Terrance has 12 of the 15 collector's edition books in a series. Keymar has LaTeX: \frac{4}{5}4 5 of the series. Who has more books? Group of answer choices both oof them Terrance keymar

Answers

Answer: Both of them

Step-by-step explanation:

There are 15 books in the series.

Terrance has 12 of them and Keymar has 4/5 of them.

The number that Keymar has is:

= 4/5 * 15

= 60/5

= 12 books

They therefore both have the same number of books from the collection.

There are 500 middle school students. 60% of them ride their bikes or walk to school each day. How many middle school students ride their bikes or walk to school each day?


A. 450
B. 300
C. 400
D. 220

Answers

B.

60% of 500 is 300.

A windowpane is 6 inches by 8 inches. What is the
distance between opposite corners of the windowpane?
URGENT!!!

Answers

Using Pytharagos Thereom,

[tex]a^{2} + b^{2} =c^{2}[/tex]

36+64=100

[tex]\sqrt{100[/tex] = 10

the distance between the opposite corners is 10 inches

An initial investment of $200 is worth $315.24 after seven years of continuous compounding. Find the interest rate.​

Answers

Answer:

16.46

Step-by-step explanation:

subtract 315.24-200=115.24

then divide 115.24 and 7 to see what you get each year which is 16.46 rounded not rounded id 16.462857143.

neeed hellpppp asap noww​

Answers

Answer:

-3/5

(0,4)

Step-by-step explanation:

The slope, or m, is the change in y over the change in x. So to find m calculate how much y changes then divide that by how much the x value changes. On the table, the y-values decrease by 3 each time, and the x-values increase by 5 units each time. This means m must equal -3/5.

The y-intercept is when the line crosses over the y-axis. This will also be when x=o. So to find the intercept find when x=0; in this case, when x=0, y=4. This means the intercept is (0,4).

PLEASE HELP HURRY 20 POINTS AND I WILL MARK BRAINLEST
Justin’s pay is represented by this line graph.
How much is Justin paid for one hour of work?

Answers

I would say it would be 20 dollars since you don’t see a 1 hours you would have to improvise

plsss help i need a good grade

Answers

Answer:

Step-by-step explanation:

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