for f(x)=2x+1 and g(x2-7 find f/g (x)

For F(x)=2x+1 And G(x2-7 Find F/g (x)

Answers

Answer 1

Answer:

Option c.

Step-by-step explanation:

We are given these following functions:

[tex]f(x) = 2x + 1[/tex]

[tex]g(x) = x^2 - 7[/tex]

Division:

The division of those functions is:

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

Domain:

We have a fraction, so we have to take the domain of the function in consideration. The denominator cannot be 0, thus:

[tex]x^2 - 7 \neq 0[/tex]

[tex]x^2 \neq 7[/tex]

[tex]x \neq \pm \sqrt{7}[/tex]

Thus, the correct answer is given by option C.


Related Questions

100 points if u get it right!!!







Answers

Answer:

To be honest I think its C but it may be A

Step-by-step explanation:

C? i think most likely

Let the sequence be 1, 3, 5, 7, 9……… then this sequence is

Answers

the answer is 11 because 2 multiple are increasing

Answer:

An arithmetic sequence, The difference in any term with the previous term is same.

Step-by-step explanation:

See, ah this is a little bit easy question so let’s start solving it -:

Firstly, um see the difference between the given numbers-: 1, 3, 5, 7,9 _?

Between 1 and 3 the difference is 2

Between 5 and 3 the difference is 2

Between 7 and 5 the difference is 2

Between 9 and 7 the difference is 2

So, here we see the difference among all is same. So. it is an arithmetic sequence.

So, let's   find the fourth term. We can either do it by arithmetic progression or  by simply adding 2 to 7. I.ll first show you by doing A.P. then we will check the answer by adding 2 to 7.

So, as we know the basic formula of A.P. which is -: a1+(n-1)d

Here, a1=1, n=5, d=2

Let’s put the values in the formula-: 1+(5–1)2 = 1+(4)2 = 1+8 = 9

Now let’s check it. As the difference between each digit is same so definately the difference between 9 and the unknown number is 2.

Then, the unknown no. is 9+2 = 11

Hence, the answer is 11

What is the exam score for an exam whose z-score is 1.25?

Answers

Answer:

85

Step-by-step explanation:

A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85

Jordan is going to a friends birthday party. He couldn’t decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon.
plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question.

Answers

Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

I WILL MARK BRAINLIEST
Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram what decomposed into two triangles, what would be the area of each triangle? ​

Answers

Answer:

Part A=2cm²

Part B =The area of each triangle will be 1cm²

Explanation:

Part A

Area of parallelogram similar to that of rectangle =length x width

Area of the parallelogram= 3 x 2/3

= 2cm²

Part B

If you draw a line from A to C or B to D the form 2 triangles

Area of a triangle =1/2 x base x Height

=1/2 x 3 x 2/3

= 6/6

= 1cm²

Therefore both triangles are 1cm²

Sorry for not explaining at first I submitted the answer by accident

help pls it's due in 4 mins

Answers

Answer:

Probely B since theres less water

Step-by-step explanation:

Answer:

Your answer would be A.Changes in the food chain

Step-by-step explanation:

The reason why this would be the answer is that Biodiversity is just the Variety of life in a habitat or ecosystem.

Please Mark as Brainliest

Hope this Helps

The value of x for which the expressions 5(3x-4) equal to 2(2x+1)

Answers

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.

Required:
a. What is the Z score for a person who watches more than 8 hr/day?
b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?
c. What number of television hours per day corresponds to a Z score of +1?
d. What is the percentage of people who watch between 1 and 6 hr television per day?

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

Larry's father had to travel 385 miles to a work project. If he left at 8 A.M., travelling at a speed of 55 mph, how far would he be by noon?​

Answers

Answer:

220 miles

Step-by-step explanation:

Given the following data;

Distance = 385 miles

Take-off time = 8 AM

Speed = 55 mph

To find how far would he be by noon;

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Making time the subject of formula, we have;

[tex]Time = \frac{distance}{speed}[/tex]

Substituting into the equation, we have;

[tex]Time = \frac{385}{55}[/tex]

Time = 7 hours

This ultimately implies that, he covers 55 miles per hour.

Next, we would determine how far he would be by noon.

Noon = 12 PM

By noon, time = 12 - 8 = 4 hours

Distance = speed * time

Distance = 55 * 4

Distance = 220 miles

Therefore, Larry's father would have covered a distance of 220 miles by noon.

Figure ABCDE has vertices A(-2, 3), B(2, 3), C(5,-2), D(0, -4), and E(-2,-2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles. Part A: How many triangles and rectangles did you make? (1 point) Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points) Part C: What is the area of Figure ABCDE? Show your work. (5 points)​

Answers

9514 1404 393

Answer:

  A: 1 rectangle and 2 triangles (or 1 trapezoid and 1 triangle)

  B: AB = 4; AE = 5

  C: area = 34.5 square units

Step-by-step explanation:

Part A

The figure can be decomposed into a right trapezoid and a triangle. The right trapezoid can be decomposed into a rectangle and a triangle.

easiest decomposition: 1 right trapezoid and 1 triangle

decomposition per instructions: 1 rectangle and 2 triangles.

__

Part B

AB is a horizontal line, so its length is the difference of the x-coordinates of B and A: 2 -(-2) = 4.

AE is a vertical line, so its length is the difference of the y-coordinates of A and E: 3 -(-2) = 5.

  AB = 4, AE = 5

__

Part C

The area of the trapezoid is given by ...

  A = 1/2(b1 +b2)h

The figure shows the base lengths to be 4 and 7, and the height to be 5. The trapezoid's area is ...

  A = 1/2(4+7)(5) = 27.5 . . . . square units

The area of triangle CDE is given by the formula ...

  A = 1/2bh

The figure shows the base length to be 7 and the height to be 2 units. The triangle area is ...

  A = 1/2(7)(2) = 7 . . . . square units

The total area of figure ABCDE is 27.5 +7 = 34.5 square units.

Answer:

Answer:

 A: 1 rectangle and 2 triangles (or 1 trapezoid and 1 triangle)

 B: AB = 4; AE = 5

 C: area = 34.5 square units

Step-by-step explanation:

Part A

The figure can be decomposed into a right trapezoid and a triangle. The right trapezoid can be decomposed into a rectangle and a triangle.

easiest decomposition: 1 right trapezoid and 1 triangle

decomposition per instructions: 1 rectangle and 2 triangles.

__

Part B

AB is a horizontal line, so its length is the difference of the x-coordinates of B and A: 2 -(-2) = 4.

AE is a vertical line, so its length is the difference of the y-coordinates of A and E: 3 -(-2) = 5.

 AB = 4, AE = 5

__

Part C

The area of the trapezoid is given by ...

 A = 1/2(b1 +b2)h

The figure shows the base lengths to be 4 and 7, and the height to be 5. The trapezoid's area is ...

 A = 1/2(4+7)(5) = 27.5 . . . . square units

The area of triangle CDE is given by the formula ...

 A = 1/2bh

The figure shows the base length to be 7 and the height to be 2 units. The triangle area is ...

 A = 1/2(7)(2) = 7 . . . . square units

The total area of figure ABCDE is 27.5 +7 = 34.5 square units.

Step-by-step explanation:

trust meh

A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore

Answers

Answer:

10% of students buy neither the textbook nor the supplement from the bookstore

Step-by-step explanation:

We have that:

15% buy only the textbook.

75% buy both the textbook and the supplement.

None buy only the supplement.

a) What percent of students buy neither the textbook nor the supplement from the bookstore

15% + 75% = 90% buy at least one of them. So

100% - 90% = 10% buy neither.

please help me with this​

Answers

Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

take lcm of the denominator

lcm = 100

25*100 + 32*10 +4*1/100

2500 + 320 +4/100

2824/100

28.24

Find the value of (1 point)

Answer D .28.24

The rate to rent a small moving van is $30 per day, plus $2 per mile. Jada rented a van to drive to her new home. It took
two days, and the total cost was $360. How many miles did she drive?

Answers

150 miles cause 150 x 2 is 300 plus the $30 a day fee

A random sample of 10 college students was drawn from a large university. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years, with a sample standard deviation of 3.2. Suppose that you want to test whether the population mean age differs from 20. What is your decision based on a test at a 1% significance level

Answers

Solution :

Given :

The sample mean = 21.3

Standard deviation = 3.2

The null hypothesis is : [tex]H_0: \mu =20[/tex]

The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]

This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.

Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]

The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]

The t-statistic is computed as follows :

[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]

[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]

 = 1.285

Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that  [tex]\text{the null hypothesis is not rejected.}[/tex]

The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]

Conclusion

Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.

Item 3
How many meters are equal to 11 kilometers?

Answers

Answer:

11kilometers = 11000 meters

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

11,000

»»————- ★ ————-««  

Here’s why:  

We first need to note that a kilometer has the equivalent to 1,000 meters. The prefix kilo- means a thousand.

⸻⸻⸻⸻

[tex]1000 * 11 = \boxed{11000}[/tex]

⸻⸻⸻⸻

There are 11,000 meters in 11 kilometers.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  


Find the lateral surface area of a
cylinder whose radius is 1.2 mm and
whose height is 2 mm.
Round to the nearest tenth.
[?] mm2

Answers

Answer:

24.1 mm^2

Step-by-step explanation:

HELP PLS THIS IS MY FINAL

Answers

there is no solution to the equation

Step-by-step explanation:

(+3x)-3x+12=-3x-12(+3x)

12=-12

But it is not sensible, so the ans is no solution

Latoya Abdul and dale sent a total of 88 text messages over their cell phones during the weekend Latoya sent 8 more messages than Abdul.Dale sent 4 times as many messages as Latoya how many messages did they each send?

Answers

Answer:

Abdul - 8 messages

Latoya - 16 messages

Dale - 64 messages

Total - 88 messages

Step-by-step explanation:

A: (x)

L: (A + 8)

D: (L* 4)

A: 8 = 8

L: 8 + 8 = 16

D: 16 * 4 = 64

8 + 16 + 64 = 88

Hope this helps!

I need the Tables and Graphs answered. I can do the Holes and Asy

Please help with this: save picture and draw your answer on it if you can Please. send it to me on discord Dela#4068

It will mean the world to me

Answers

Answer:

7.) vertical asymptote: x= -3   holes:  no holes   (graph below, table below)

8.)vertical asymptote: x= -3          hole: (2, 1/5) (graph below, table below)

9.) vertical asymptote: none          hole: (2,12) (graph below, table below)

if you wanted high quality graphs just go on des_mos

tep-by-step explanation:

Below are the tables/graphs

the holes/asymptotes will be solved here

7.) To solve for the vertical asymptote simplify what you can and set the denominator= 0 and solve for x

x+3=0

x= -3

8.) We can cancel out the x-2 from the numerator and denominator, set the denomiator= 0 and then solve for x

x+3=0

x= -3

Because we canceled the set of numbers there is a hole

we know that when x=2 (in the unsimplified version) the answer is undefined. To solve for the y coordinate plug in x=2 into 1/(x+3)

1/5

9.) start by factoring 3x²-12 = 3(x+2)(x-2)

same deal for the vertical asymptote (simplify what you can and set the denominator equal to 0)

cancel out the x-2 but in doing so the denominator is one and so there is no vertical asymptote

to solve for the hole plug in x=2 for 3(x+2)

get (2,12)

I need the answer fast p,s

Answers

Answer:

d

Step-by-step explanation:

Process of elimination:

It can’t be a or b, because the plot does not have any 2’s.

Its not c, because the plot does not have any 5’s

So it must be d

Answer:

D is the answer

Step-by-step explanation:

it only shows two 1s three 3s one 4 no 5s three 6s and so in and so forth

The ___is the middle number of a group a numbers

Answers

Answer:

The Median is the middle number of a group of numbers.

I

Help meeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

the answer is in the above image

X2 +3x+2 is what I got

Which of the coordinate pairs below are separated by a horizontal distance of greater than 11 units? Select all that apply.
A) (-6.4, 5.1) and (5.5, 5.1)
B) (4.7, -5.5) and (-3.3, -5.5)
C) (11/3, 4) and (−10/3, 4)
D) (-12, 5) and (2, 5)

Answers

9514 1404 393

Answer:

   A, D

Step-by-step explanation:

The horizontal distance between the points is the difference of their x-coordinates.

A) 5.5 -(-6.5) = 12.0 . . . greater than 11

B) 4.7 -(-3.3) = 8.0

C) 11/3 -(-10/3) = 21/3 = 7

D) 2 -(-12) = 14 . . . greater than 11

Im am not sure how to do this but I wanna say it’s C

Answers

Answer:

The answer is A which is 5/16

At the store, Alyssa spent $3.25 on stickers and $6.50 on candy. She paid with a $10 bill. How much change did she get back?

Answers

A quarter or $0.25.

Answer:

$0.25

Step-by-step explanation:

First, find how much the stickers and candy cost in total:

3.25 + 6.50

= 9.75

Subtract this from 10 to find how much change she got back:

10 - 9.75

= 0.25

So, she got back $0.25 in change

What is the quotient?



Answers

Answer:

A

Step-by-step explanation:

this is a fraction we two powers with the same base so we have tu subtract the exponents and maintain the same base

5^(-6-3) = 5^-9 = 1/5^9

the answer to a division problem

Please help! 15 points!

Answers

Answer:

3/1/2 units 3

Step-by-step explanation:

What is the distance between the two points? (-18, -6) & (-18,-1)

A. 4
B. 5
C.6
D. 7

Answers

Answer:

5

Step-by-step explanation:

D² = ( x2 - x1 )² + ( y2 - y1 )²

= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²

= ( -1 + 6 )²

D² = ( 5 )²

hence, D = 5

Answer: B) 5

Step-by-step explanation:

Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive

-18-(-18)

-18+18

0

There is no distance away from the x value so the distance we need to count is from the y value

-1-(-6)

-1+6

5

The distance between the two points is 5.

I need this by to night somebody help pls

Answers

Answer:

0° < x < 83.76°

Step-by-step explanation:

Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.

The largest value for the angle x+2 is when the height of the pyramid is almost zero.

Then the face is an isosceles triangle with base 13 and height 14.

The angle opposite the base is then

x+2  = 2*atan(6.5/7) = 2* 42.879 = 85.76°

when the height is almost infinite, the angle is almost zero.

Therefore the range of the value of x

0° < x < 83.76°

At a drug rehab center 41% experience depression and 27% experience weight gain. 14% experience both. If a patient is randomly selected, find the probability that the patient experiences neither depression nor weight gain.

Answers

Answer:

46%

Step-by-step explanation:

P(A) = 41% depression

P(B) = 27% weight gain

P(A and B) = 14% both

Therefore

P(A or B) = P(A)+P(B)-P(A and B) = 41+27-14 = 54%

P(~A and ~B) = 1 - P(A or B) = 1-54%=46%

Other Questions
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