Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25

Answers

Answer 1

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them


Related Questions

What is the rate of change ( slope) for the given line

Answers

It’s extremely hard to tell, but it looks like it’s 3 over 2, which is 3/2.

3/2 is 1.5, or just 3/2. Since the line is going down, the slope would be negative, so -3/2.

Hope this helps!

Answer:

Step-by-step explanation:

-3/2 i think

THis might be wrong tho

in a school of 330 students , 85 of them are in drama ,200 of them are in a sports teAM AND 60 OF THEM DO DRAMA AND SPORTS.

fIND THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS

Answers

THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Let's denote students

D = in the drama club ,

S = in a sports team

So, P(D) = 85/330

P(S) = 200/330

P(D and S) = 60/300

P(D or S) = P(D) + P(S) - P(D and S)  

P(D or S) = 85/330 + 200/330 - 60/330

P(D or S) = 15/22

P(neither D nor S) = 1- 15/22

P(neither D nor S) = 7/22

Thus, THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.

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¿Qué número es 100 más que 897?

Answers

Answer:

997

Step-by-step explanation:

Hope this helps a little.

how many terms does the expression 6a + 3ab + 2 have

Answers

Answer:

3 terms

Step-by-step explanation:

6a is a term

3ab is a term

2 is a term

Find the code!
• It has 6 different digits
• Even and odd digits alternate (note: zero is an even number)
• Digits next to each other have a difference greater than one
• When we break the code into three sets of two-digit numbers, then the first and middle are a multiple of the last What is the code? (more than 1 solution)​

Answers

Answer:

692703

816903

496307

816309

903618

Step-by-step explanation:

With even and odd digits alternating, and difference greater than one, then the last 2 digits can only be:

03, 05, 07, 09, 14, 16, 18, 25, 27, 29, 30, 36, 38, 41, 47, 49, ... any higher and we can't make multiples for the first or second pair

Let's check for multiples where even and odd digits alternate and have difference greater than one:

03 has 27, 63, 69, 81

07 has 49, 63

09 has 27, 63, 81

18 has 36, 72, 90

25 has none

27 has none ...

No others work following the rules

When we try to make full numbers that follow all the rules we find only these:

692703

816903

496307

816309

903618

:)

Is the graph increasing, decreasing, or constant?

Answers

the graph is decreasing

Answer:

Decreasing

Step-by-step explanation:

Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.

Complete the table of inputs and outputs for the given function.
g(x)=3-8x

Answers

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that g(x) = 3 - 8x, hence:

When x = -3; g(-3) = 3 - 8(-3) = 27

When x = -1; g(-1) = 3 - 8(-1) = 11

When x = 0; g(0) = 3 - 8(0) = 3

When x = 1; g(1) = 3 - 8(1) = 5

When x = 3; g(3) = 3 - 8(3) = 21

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

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Help me with number 14 plss

Answers

Answer:

-3 1/5

Step-by-step explanation:

to find the slope of the line you use the equation (y2 - 1) / (x2 - x1)

when plugged in you get

(5 + 3) / (-2 1/4 - 1/4)

then you do what is inside the parenthesis

8 / -2 1/2

8 / -2.5

lastly you divide

you get -3 1/5

that is your answer

Now Ann is x years old and her sister is eight years younger than her. After five years , Anne's age is twice the age of her sister.

Write down the ages of Anne and her sister after five years in terms of x.

Please help me friends

Answers

Answer:

You can refer to the given attachment

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book
Number
Fantasy
10
Literature
25
Children’s
4
Nonfiction
11

Answers

The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book      Number

Fantasy                 10

Literature              25

Children’s               4

Nonfiction             11

t, showing the distribution of the number of books in a library.

Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.  

So just because books literature more we cannot say it is not representative  II option is not right, because each book was not chosen uniquely, just random books were drawn.

What is the population?

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

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In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?

A 564.270
B 695.187
C 713.442
D 870.349

NEED HELP ASAP

Answers

Answer:

B 695.187

because 7 in 468.705 has value 1/10

1/100×1/100 is 1/1000 which is 0.007.

Answer:

B. 695.187

Explanation:

In the number 468.705, the number 7 is in tenths place (0.1)

If the value of 7 in that number which is 0.1 has value of 1/100, then

0.1 × 1/100 = 0.001  (thousand place)

Then the number 7 will be in thousands place: 0.007

Among options, option B (695.187) has the value of 7 in thousands place.

Please help!! A. 170 B. 205 C. 230 D. 105

Answers

Answer:

D. 105

Step-by-step explanation:

500-270, there's 230 total 2 head.

270-100 of one head, is 170 purple one head. 170+125 purple equals 295.

296 subtract from 500 total is 205 for total green.

205-100, 105 2 head.

Find the value of x that makes line m parallel to line n.​

Answers

Answer: x = 20

Step-by-step explanation:

   If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

The depth of a diver is her distance below sea level because depth represents a distance

Answers

The depth of the diver is 32 feet below sea level.

What is the angle of elevation?

The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.

The depth of the diver is the absolute value of -32 since it can't be negative.

= |-32|

= 32

Therefore, we can conclude that the depth of the diver is 32 feet below sea level.

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Which row of the input/output table is incorrect? y = 2 x - 3 x y Row A 3 3 Row B 5 7 Row C 7 11 Row D 10 15 Row B Row C Row A Row D

Answers

The row of the input/output is incorrect is Row D.

What is equation?

Given equation: y = 2x - 3

For, row A:  

x = 3

y = 2x - 3

So,

y = 2(3) - 3

y = 3, which is correct

For row B:

x = 5

y = 2x - 3

So,

y = 2(5) - 3

y = 7, which is also correct.

For row C:

x = 7

y = 2x - 3

So,

y = 2(7) - 3

y = 11, which is also correct.

For, row D:

x = 10

y = 2x - 3

So, y = 2(10) - 3

y  = 17, which is incorrect.

Hence, the row of the input/output is incorrect is Row D.

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Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .

Answers

Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as

x=7/10

What is the sum of the two numbers?

Generally, the equation for Number is mathematically given as

[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]

x=7/10

In conclusion,  the sum of the two numbers

x=7/10

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MATH!!! 15 points ;)) find the volume of the composite figure
please answer correctly and check over your work...

Answers

Answer:

(2*2*1.5*1/3)+(2*1.5*4)= 14

Step-by-step explanation:

To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.

What is the area of the target that earns at least 30 points on a throw?

Select the correct from the drop-down menu.

Answers

The area of the target that earns at least 30 points on a throw is 379.94 square inches

How to determine the area?

The target areas that earn at least 30 points on a throw are:

30-point, 40-point and 50-point


From the question, we have:

Radius 50-point = 3Width 40-point = 4Width 30-point = 4

So, the total radius is:

r = 3 + 4 + 4

Evaluate the sum

r = 11

The area is then calculated as:

A = πr²

This gives

A = 3.14 * 11²

Evaluate

A = 379.94

Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches

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Answer:

49  square inches

Step-by-step explanation:

edmentum/ Plato hope this helps

Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? show your work. (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? explain your reasoning. (2 points)

Answers

Answer:

a-x=y+25

b-35 minutes

c-nort possible

Step-by-step explanation:

can't explain due to the fact it will take 30m to type up

A sequence is defined recursively by the formula f(n 1) = f(n) 3 . the first term of the sequence is –4. what is the next term in the sequence? –7 –1 1 7

Answers

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

How to determine an element of a sequence

In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:

f(n + 1) = f(n) + 3

Thus, the following term of the sequence is:

f(2) = f(1) + 3

f(2) = - 4 + 3

f(2) = - 1

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

Remark

The statement is poorly formatted and reports typing mistakes. Correct statement is:

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7

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Find an angle between 0 degrees and 360 degrees and that is coterminal with 1260 degrees.

Answers

Answer:

The 180 degrees angle.

Step-by-step explanation:

We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.

Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.

X • 1/5 = 60 Find out what x represents. Show work.

Answers

Answer:

x*1/5=60

5[x*1/5=60]

x=5*60

x=300

Step-by-step explanation:

-introduce the multiplicative inverse of 1/5 to the equation.

- 5*1/5 gives 1 on L.H.S

-Similarly 5*60 gives 300 on R.H.S

-finally x=300

14.4.1:there are five girls in a tennis class. how many different doubles teams of two girls each can be formed from the students in the class?

Answers

The number of teams that can be formed is 10

How to determine the number of teams?

The given parameters are:

Girls (n) = 5Teammate (r) = 2

The number of teams is calculated as:

[tex]Team = ^nC_r[/tex]

So, we have:

[tex]Team = ^5C_2[/tex]

Apply the combination formula

Team = 10

Hence, the number of teams is 10

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Estimate the size of a crowd at a concert where the area is 100 feet by 300 feet
(approximately the size of a football field). Assume 1 person for each 2.5 square feet.
a. 12,000
b. 10,000
c. 24,000
d. 5,000

Answers

The size of the crowd is 12,000

What is area of plane shape?

This is the portion covered by the shape.

Analysis:

Area of field = 100 x 300 = 30000 square feet

If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.

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What is the value of -3r+ 8 when r=4

Answers

Answer: -4.


Explanation: Because -3*4=-12. -12+8=-4.

When accessing your credit card information online, you cannot ___

see statements

view the balance

make purchases

view the bill due dates

Answers

When accessing your credit card information online, you cannot makes purchase.

What is credit card?

A credit card is a card that enables a card holder to buy or purchase things online on credit.

A credit card holder can carryout the following when accessing their credit card data online:

See their statementsView their balanceView their bill due dates

Therefore the correct option is C.

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Solve5x+3=23

answers:

4

5.5

15

25​

Answers

The answer is 4.
23-3=20
5x=20
And 5x4=20
X = 4
5x + 3 = 23
5x = 23 - 3
5x = 20
X= 4

What is the y-intercept of this line?
y = =+5
b = [?]

Answers

Answer:

b = 5

Step-by-step explanation:

The y intercept is the value when x =0

y = mx+b  where b is the y intercept

b = 5

Answer:

b = 5

Step-by-step explanation:

Slope-Intercept form: y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]

[tex]\sf \textsf{slope:}-\dfrac{4}{3}[/tex][tex]\sf \textsf{y-intercept:}\ 5[/tex]

Therefore, the value of b is 5.

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find the equation of the line:

Answers

The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.

So, the equation of the line is:

y + 1 = -0.5(x - 5)

y + 1 = -0.5x + 2.5

y = -0.5x + 1.5

Any ideas for solving this beast

Answers

Answer:

option c

Step-by-step explanation:

Other Questions
Jack and John __________ helpful.A-beB- have been C- wasD- had been Read the text carefully, then answer the question. in 2009/10 there were 26 061 reported injuries to employees classified as major injuries. the corresponding rate was 101.5 per 100 000. the most common accidents involved slipping or tripping (41%), and falls from a height (16%). a further 95 369 reported injuries to employees caused an absence from work of over three days. the corresponding rate was 371.5. of these injuries, the most common kinds of accident were caused by handling, lifting or carrying (36%), and slipping or tripping (24%). although all personal injuries, near misses or cases of job-related diseases in the workplace are classed as incidents, the purpose of reporting an accident as opposed to an incident is quite different. the former is to inspect a bodily injury, while the latter serves as a means to probe its actual cause. the accident report* form is filled out by the employee who experienced the accident, whereas the incident report form is completed by the duty manager inspecting the case. both the forms call on the employee to record their personal details, injury specifics and any necessary medical assistance, as well as events leading up to the accident. however, the duty manager is solely obligated to record witness details and to anticipate any preventive means or future proceedings. depending on the likelihood of a recurrence, due to a prevalent job structure, systems of work or procedural liabilities, the duty manager should also instruct on further investigations to follow. the accident and incident report forms are used as vital reporting tools to scrutinise and prevent similar occurrences in the future. they are considered to be vital precautionary measures that support the development of adequate safety procedures. management are bound by legislation to ensure the safety of workers. *reported major injuries: specified serious injuries to workers, including most fractures, amputations and other injuries leading to resuscitation or 24-hour admittance to hospital. *reported over-3-day injuries: other (non-major) injuries to workers that lead to absence from work, or inability to do their usual job, for over three days. julie is an administrator. on one working day, julie burnt her right hand when she was using the laminator. she then went to hospital and was given emergency treatment. julie was off work for twelve days. in this scenario, which form should she fill in? a. major injuries accident form b. major injuries incident form c. over 3 days injuries accident form d.over 3 days injuriesincident form could someone please help will give brainliest The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles. What type of triangle is created by the three cities?an acute triangle, because 222 + 542 >512an acute triangle, because 222 + 512 >542an obtuse triangle, because 222 + 542 >512an obtuse triangle, because 222 + 512 >542 Individuals should participate in activities __________ to improve cardiovascular fitness.A.twice a dayB.three to five days a weekC.two to three days a weekD.seven days a week HURRY!! Which of the following is true about population and resources? A. There is no relationship between population and the use of natural resources. B. People in the US use more resources per person than people in less developed countries. C. People in underdeveloped countries use more resources per person than people in the US. D. Each person in the world uses an equal amount of natural resources. What is the measure of USQ Which graph represents f(x)= | x+3| did I solve this problem right? Write down the first three and last two terms of the binomial expansion of:a) (3x+(2/x))^15b) (2x-(3/x))^20 Give three reasons why chordates are different from all other animals? Which aspects of English culture were affected by Norman rule?Check all that are true.architecturereligiongovernmentlanguagesocial structure Y 5 What is the equation of the graphed line written in standard form? 4 3 2 1 O 2x + 3y = -6 O 2x + 3y = 6 O y=-{x-2 O y=x-2 5-4-3-2 12 1 2 3 4 5 x 2 -3 Short essay: Write a paragraph on a time that people can remember when they had to advocate for someone else or a group of people or even for themself, explain the situation and the outcome of it, It does not have to be related to only your disability, even though it can be for anything else in life. Just share one experience.Answers for this question 22+6[(14-5)3(17-14)]I got 76 and every calculator I use says 76 but in the back of the book it says the answer is 28. Am I missing something or could it be a typo? My work: 22+6[(14-5)3(17-14)]22+6[(9)3(3)]22+6 [(3)(3)]22+6(9)22+54 = 76 A runner runs a distance of 350 metres in a time of 50 seconds. What is his average speed? Can someone help me answer this 1/4 of the players on every team are girls. Write 3 fractions equivalent to 1/4 After mitosis each identical daughter cell has a complete set of:. Esther is constructing a table of values that satisfies the definition of a function f(x).x -10 17 8 -4 0 23 f(x) -12 -7 -7 0 3 8 10Which number can be placed in the empty cell so that the table of values defines a function?A.-10B.-12C.8D.17