PLEASE HELP ASAP!
Let f(x)=x²-x-12 and g(x)= x -4.
What value can the expression (f/g)(x) never equal?

Answers

Answer 1

Answer:

7

Step-by-step explanation:

This function can never equal 0. Why? well here:

(f/g)(x) also just means [tex]\frac{f(x)}{g(x)}[/tex]. In this case, we get [tex]\frac{x^2-x-12}{x-4}[/tex] Or [tex]\frac{(x+3)(x-4)}{x-4}[/tex]. It seems like you can cancel out x-4 and bam, you get x+3 and any value should work.

However, x can never equal 4 because 4 leads to a case where you divide by 0. This is called discontinuity. Thus, the value you can't get is x=4, or 7 because when you plug 4 in, you get 0/0. Otherwise, any other real value is defined by x+3.


Related Questions

Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account. If Pam has 40 dollars in her account, how much money does her brother have in his account?

Answers

Answer:

the answer is

Step-by-step explanation:

100

Becasue when you do the math of how many two's you used to get to 40 and you do that with the fives that her brother makes it is 100.

Wage per hour $11.13.

3 hours per day of work.

Takes 44.93 (45) hours of work to get $500.

For your birthday, you received $50 in gifts from family and friends. Write an equation and solve, letting h represent hours, to find how many hours you will have to work to save the $500 with the $50 in gifts based on your hourly wage. How many weeks is that?

Answers

Answer:

It will be about fourteen days or two weeks to save that much while only working 3 hours each day for every day of the week

Step-by-step explanation:

HELP PLEASEEEE!!!!! [Easy]

Answers

Answer: 120

   

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

The debate team is hosting a tournament.
They received $320.00 in tournament
registration fees and raised $126.76 in
concessions. The team would like to budget
this money over the 12 month calendar
year. How much money will be available
each month?

Answers

Answer:

$37.23 will be available each month.

Step-by-step explanation:

Choose the graph that matches the inequality y <-2x+4.

Answers

The graph for the Inequality y <-2x+4 is attached below.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, Olivia is selected in the 12U Softball. How old is Olivia? You don't know the age of Olivia, because it doesn't say "equals". But you do know her age should be less than or equal to 12, so it can be written as Olivia's Age ≤ 12. This is a practical scenario related to inequalities.

Given:

y <-2x+4.

The Inequality shows the shaded region in the Graph.

So, the intercept for the inequality is 4 and slope is of 2 units.

Hence, the graph for the Inequality y <-2x+4. is attached below.

Learn more about Inequality here:

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-24-3-3n)+1 =
I NEED HELP ASP

Answers

Answer:

−3n−26

Step-by-step explanation:

−24−3−3n+1

=−24+−3+−3n+1

Combine Like Terms:

=−24+−3+−3n+1

=(−3n)+(−24+−3+1)

=−3n+(−26)

If 23 is added to a number, the result is 41 less than twice the number. Find the number.

Answers

Answer:

64

Step-by-step explanation:

Let x represent the number.

x + 23 represents 23 added to the number.

2x - 41 represents 41 less than twice the number.

Set these expressions equal to each other and solve for x to find the number:

x + 23 = 2x - 41

23 = x - 41

64 = x

So, the number is 64

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3,7) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (8,2).
The equation is

Answers

A if you multiply the divide the. Subtract the add the. Iudjnff

what is wrong with the equation? ​

Answers

Answer:

I think X=3

Step-by-step explanation:

When adding fractions you have to find a common  denominator, the easiest way is to use the other number for it. So with [tex]\frac{x}{2}[/tex] you would multiply the top and bottom by 6, and with [tex]\frac{x}{6}[/tex] you would multiply both the top and bottom by 2. You should then have [tex]\frac{6x}{12}[/tex]+[tex]\frac{2x}{12}[/tex]. You add the tops together which will leave you with 8x and the bottom stays the same. Then you multiply the the 2 by the 12, and when doing this the 12 will cancel out. leaving you with 8x= 24. Finally you divide 24 by 8 and X is 3.

Which expression has a value of 90?

3,600 ÷ 50
5,400 ÷ 60
6,400 ÷ 80
7,200 ÷ 90

Answers

Answer:

1. 73.2

2. 90

3. 80

4. 80

Step-by-step explanation:

you will have to divide 3,600 by 50

Answer:

None of them...

Step-by-step explanation:

3,600 ÷ 50 = [tex]\frac{1}{4}[/tex]

5,400 ÷ 60  = [tex]\frac{3}{4}[/tex]

6,400 ÷ 80  = [tex]\frac{6}{5}[/tex]

7,200 ÷ 90 = [tex]\frac{63}{20}[/tex]

Did you read the problem correctly?

place these numbers in order from least to greatest: ( picture)

Answers

Answer:

[tex]\sqrt3[/tex],  [tex]\sqrt6[/tex], π, 4.625

Step-by-step explanation:

Just turn the values into decimals and then put in order form least to greatest

A roll of chain is 26 000 mm long to 2 sf. Necklaces are 540mm exactly. What is the greatest guaranteed number of necklaces that could possibly be made from the roll?

Answers

Answer:

47

Step-by-step explanation:

2 sf for this number means to the nearest 1 000

1 000 ÷ 2 = 500

So length of chain on roll is 26 000 ± 500

Greatest guaranteed number given by 25 500 ÷ 540 = 47.33... so answer is 47.

choose the equation that does NOT represent the function of the graph shown below.

Answers

The equation for that graph is f(x) = 3 sin 8x.  Nothing else is correct. THere is no horizontal shift (phase shift), nor is there vertical shift.  Just a period adjustment.

3 sin 8x

HOPE IT HELPS (◕‿◕✿) SMILE!!

I need help graphing y equals -4/3 x - 1 o​

Answers

Answer:

Check out my graph!

First graph -1 which is on the bottom on the y axis. Then, since your subtracting and it’s negative, move down 4 and the denominator is -3 so you have to move to the right. You should be at point -5,3. So the graph should have the points plotted at -1 and -5,3. Hope this helps!

find the value of x root (4/7)^2x-1=16/49​

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given expression:

                     [tex](\frac{4}{7}) ^{2x - 1}[/tex]   = [tex]\frac{16}{49}[/tex]

  Solve for x;

Solution:

    16  = 4²

   49 = 7²

  So;

           [tex](\frac{4}{7}) ^{2x - 1}[/tex]  = [tex]\frac{4^{2} }{7^{2} }[/tex]

          [tex](\frac{4}{7}) ^{2x - 1}[/tex]   = [tex](\frac{4}{7} )^{2}[/tex]

     Now;

              2x - 1 = 2

              2x = 3

                x  = [tex]\frac{3}{2}[/tex]

answer all 4 problems please help

Answers

Answer:

1. m=2/7

2. there are 25 students in her class

3. x=16

4. each notebook cost $2

Step-by-step explanation:

2. Two bicyclists on a 75-mile trail ride toward each other. One bicyclist
begins at the 45-mile marker. The other begins at the end of the trail. The
expressions shown represent the distance from the Parking Lot for each
A. Write an equation to represent the bicyclists' meeting after x hours.
plify.
bicyclist when they meet.
B. After how many hours do the bicyclists meet?
Parking
Lot
75 - 10x
45 + 10x
75 mi
C. How far away are the bicyclists from the
parking lot when they meet?

Answers

Answer:

A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x

B. The bicyclist meet after 1.5 hours

C. They were 60 miles from the parking lot when they meet

Step-by-step explanation:

A. The starting location of the one of the bicyclist = 75-mile marker

The starting location of the other bicyclist = 45-mile marker

The direction of motion of the bicyclist = Towards each other

The time after which the bicyclist meet = x hours

The expression for the distance from the parking lot are

75 - 10x and 45 + 10x

Whereby the bicyclist are have the same speed, v, we have;

The location where they meet is 75 - v×x = 45 + v×x

B. Solving for x, we have;

75 - v×x = 45 + v×x

75 - 45 = v×x + v×x = 2×v×x

30 = 2×v×x

x = 30/(2×v)

Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;

x = 30/(2×v) = 30/(2×10) = 1.5

x = 1.5 hours

The bicyclist meet after 1.5 hours

C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;

75 - 10 × 1.5 = 60 miles

45 + 10 × 1.5 = 60 miles

Therefore, they were 60 miles from the parking lot when they meet.

Answer:

A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x

B. The bicyclist meet after 1.5 hours

C. They were 60 miles from the parking lot when they meet

Step-by-step explanation:

A. The starting location of the one of the bicyclist = 75-mile marker

The starting location of the other bicyclist = 45-mile marker

The direction of motion of the bicyclist = Towards each other

The time after which the bicyclist meet = x hours

The expression for the distance from the parking lot are

75 - 10x and 45 + 10x

Whereby the bicyclist are have the same speed, v, we have;

The location where they meet is 75 - v×x = 45 + v×x

B. Solving for x, we have;

75 - v×x = 45 + v×x

75 - 45 = v×x + v×x = 2×v×x

30 = 2×v×x

x = 30/(2×v)

Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;

x = 30/(2×v) = 30/(2×10) = 1.5

x = 1.5 hours

The bicyclist meet after 1.5 hours

C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;

75 - 10 × 1.5 = 60 miles

45 + 10 × 1.5 = 60 miles

Therefore, they were 60 miles from the parking lot when they meet.

true or false -5 > -9

Answers

Answer:

True

Step-by-step explanation:

Positive Number = 7 > 5

Negative numbers : -5 > -7

True ! -9 means it’s further and -5 means it’s closer which means it’s colder

Quick!!!!
Find the mean of this data set: 593, 580, 544, 434, 420, 398, 390, 375
A.427
B.420
C.564
D.394

Answers

I did this and I got 466.75

Answer:

nonono its 420

Step-by-step explanation:

420 666 6969

I need help to solve this math problem

12 yd = __ ft

Answers

Answer:

36 feet

Step-by-step explanation:

12inches =1 yard

Answer:

36 feet

Step-by-step explanation:

There are 3 feet in a yard, so all you have to do is multiply 12 by 3. 12x3=36

Have a great day!!! I hope this helps C:

Find f(2) if f(x) = (x + 1)2. 9 6 5



I'll give brainiest if right

Answers

Answer:

x=2

Step-by-step explanation:

Find the rate. Principle= $50, Interest= $10, Time= 2½ years​

Answers

Answer: It should be 50% or 0.5

Step-by-step explanation:

What is the domain for f(x) = 1/2(x + 1) + 3?

What is the domain for f(x) = 2?

What is the domain for f(x) = -2(x - 2) + 1?

Answers

Answer:

the domain of f(x) = 1/2(x + 1) + 3 on this graph is [-6,-1] because there are solid dots on -6 and -1

the domain of f(x)=2 on this graph is (-1,2] because there is an open circle on -1 and a solid circle on 2

the domain of f(x) = -2(x - 2) + 1 is (2,6] because there is an open dot on 2 and a solid circle on 6

The domain of the given all three functions are explained below.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

We must identify each value of the independent variable (often represented by x) for which the function is specified in order to establish the domain of the function.

A function's domain may be constrained by certain guidelines or limitations, such as:

The domain must be free of any x values that would result in the denominator being 0 since the function could contain a fraction with a denominator that cannot be zero.The domain must be free of any values of x that would turn the expression beneath the radical into a negative expression since the function could contain a square root of a negative number.

From the graph, the domain of the given function is f(x) = 1/2(x + 1) + 3 is [-6, -3].

From the graph, the domain of the given function is f(x) = 2 is (-3, 2].

From the graph, the domain of the given function is f(x) = -2(x - 2) + 1 is (2, 6].

Learn more about function here:

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A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.

Answers

Answer:

-2

Step-by-step explanation:

Y=500+250x

The graph shows the linear relationship between Elevation in feet and distance along trail in miles.

Intercept = 500 feets Slope = 250 (positive) y = 500 + 250x

The intercept is the point where the regression line intersects the y - axis.

From the graph, the intersect is 500 feets

From the graph, the slope is positive, as elevation increases with distance.

The slope = Rise ÷ Run

Slope = (2500 - 500) ÷ (8 - 0)

Slope = 2000 ÷ 8

Slope = 250

The regression equation written in the form :

y = a + bx a = intercept ; b = slope y = 500 + 250x

Learn more :https://brainly.com/question/18405415

This is due today and I need some help please

Answers

Answer:

B

Step-by-step explanation:

Find the greater ratio - 6:7 and 7:8​

Answers

Answer:

6:7

Step-by-step explanation:

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

Answers

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Answer

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Step-by-step explanation: got the answer from the last person who answered and they are correct

The following amount of food in a recipe makes 50 portions, how much will you need in order to
make 150 portions?
18 lb. lamb shoulder
O 6 lb.
o 54 lb.
O 45 lb.
O 9 lb.

Answers

Answer:

54

Step-by-step explanation:

150/ 50 = 3

18 x 3 = 54

18. Supongamos que tras una encuesta se ha concluido que si se elige al azar a una persona, la probabilidad de que esté a favor de la retransmisión de partidos de fútbol es de 0,8; de que esté a favor de la existencia de canales de televisión de pago, de 0,4;y de que esté a fa vor de la retransmisión de partidos de fútbol y tam bién de la existencia de canales de pago, de 0,3 a) Calcula la probabilidad de que una persona esté a favor de la retransmisión de partidos de fútbol o de la existencia de canales de televisión de pago.

Answers

Responder:

0,9

Explicación paso a paso:

Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago

probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8

Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4

La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3

Usando la fórmula de notación de conjuntos

P (MuT) = P (T) + P (M) - P (MnT)

Sustituir los parámetros dados

P (MuT) = 0,4 + 0,8-0,3

P (MuT) = 1,2-0,3

P (MuT) = 0,9

De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.

Answer:Responder:

0,9

Explicación paso a paso:

Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago

probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8

Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4

La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3

Usando la fórmula de notación de conjuntos

P (MuT) = P (T) + P (M) - P (MnT)

Sustituir los parámetros dados

P (MuT) = 0,4 + 0,8-0,3

P (MuT) = 1,2-0,3

P (MuT) = 0,9

De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.

Step-by-step explanation:

use the algrebraic description (x,y)=(x+2, y-3) to find the image of

Answers

Answer:

(2,-3)

Step-by-step explanation:

basically u connect the numbers to what its giving u like x+2 connect the "x" to the x in (x,y) and you do the same for "y", y-3 to (x,y) gives u (x,-3)

Other Questions
Pest describes the act of using senses or tools to gather information?ating a hypothesisking an observationmmarizing the resultsording the measurements Every hour we shed 1.5 million skin cells. What do these skin cells become and whateats them? Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account. If Pam has 40 dollars in her account, how much money does her brother have in his account? find the value of x root (4/7)^2x-1=16/49 What was one outcome of the debate around fair punishment in the eighteenth century? Find the greater ratio - 6:7 and 7:8 Question 9 of 10When humans are depleted in Hindu art, they are usuallyA clothed in togas,B. smaller than animalse, worshipping a gedD. shown in motion We have unlimited wants but our resources such as time and money are limited. This concept is known as A. Scarcity B, Consumption C. Trade D. Currency I need help please somebody answer ASAP please Id highly appreciate it Organic whole wheat flour sells in bags weighing 2.915 kilograms.How much flour is this when rounded to the nearest tenth? Use a place value chart and number line to explain your thinking. What symbolized the narrators guilt about killing Pluto in Edgar Allan Poes short story The Black Cat? Expository "Our Feathered Friends"Persuasive "For the Birds!What four differences do you notice in the texts? Write the name given to a largeWrite the name given to a large body of salt water that is smaller than an ocean body of salt water that is smaller than an ocean Which of the following is true about local knowledge?Local knowledge was discovered soon after an area was settled, and changes little since then.Local knowledge is fundamentally derived from the everyday activities of residents.European colonizers quickly recognized the value of local knowledge.Local knowledge is now available in written and electronic forms.Local knowledge is generally quite unified and widely shared in a community. Find the rate. Principle= $50, Interest= $10, Time= 2 years Use the substitution method to solve the system of equations. Choose the correct ordered pair 2x+y= 10y=x-5(a) (5,0)(b) (7,2)(c) (9,-8)(d) (8,-6) Consider a 1.5-m-high and 2.4-m-wide glass window whose thickness is 6 mm and thermal conductivity is k = 0.78 W/mK. Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at 24C while the temperature of the outdoors is 5C. Take the convection heat transfer coefficients on the inner and outer surfaces of the window to be h1 = 10 W/m2K and h2 = 25 W/m2K, respectively, and disregard any heat transfer by radiation. Which type of atom will attract electrons what is the heat of reaction H2 + 1/3N2 2/3NH3 A roll of chain is 26 000 mm long to 2 sf. Necklaces are 540mm exactly. What is the greatest guaranteed number of necklaces that could possibly be made from the roll?