Write the function representing the graph

Write The Function Representing The Graph

Answers

Answer 1

Answer:

The function representing the graph is described by two equations, depending on the "x" value

f(x) = (1/3)x + 3 , if x is greater than -3.

f(x) = -x - 5 , if x is less than -3.

Step-by-step explanation:

First, you have to realize that the graph is described by two functions depending on the "x" value and that it is not defined in x= -3.

Then, for "x" values greater than -3, we look at the right line and we took 2 couple of points (-3,2) and (0,3). Using the formula for the slope and the interception with y axis.....

Slope = y2- y1 / x2- x1 = 3 - 2/ 0 - (-3) ⇒ slope = 1/3.

Interception with "y" axis y= 3

f(x) = (1/3) x + 3.

For "x" values minor than -3, we have to look the left line. Here we used the slope formula and points (-3, -2) and (-5, 0)

Slope = 0 - (-2)/ -5 - (-3) =-1. So, f(x) = -x + b.

Finally we use one of the points to replace in the formula of f(x) to find "b".

-2 = - (-3) + b ⇒ b = -5. ⇒ f(x) = - x -5

Summarizing, f(x) = (1/3)x + 3 , if x is greater than -3.

                      f(x) = -x - 5 , if x is less than -3.


Related Questions

What is the area of the base of this right circular cone in terms of π?

Answers

Answer:

25π

Step-by-step explanation:

A = πr²

B

π[5]² = 25π

I am joyous to assist you anytime.

Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is as followed.

Area = [tex]\pi r^{2}[/tex]

What is the solution to this equation
x +8=-3

Answers

Answer:

Step-by-step explanation:

x+8=3

X=-3-8= -11

X=-11

minus the 8 over and the answer will be -11

Answer:

{X:X=-11}

Step-by-step explanation:

It is done by making x the subject in that relation. Thus grouping of like terms.

the equation then becomes ;

x=-3-8

since moving a positive number to the = sign gives a negative number.

-3-8= -11

Therefore ,{x:x=-11} is the solution

12080 gallons per month into liters per hour. please write out the correct conversions too to figure it out. thanks (:

Answers

Answer: 16.54 liters an hour

Step-by-step explanation:

A month into hours is 730.001 hours

12080 / 730.001  = 16.54 liters an hour.

If y= -7 when x= -3, find y when x=9​

Answers

if i am right you would multiply x= -3 by -3 and you get 9 so you would do the same thing to the y as well so y= -7 and you multiply it by -3 and then y= 21

Attached image please help

Answers

3.3 x 10^(5) + 44,000 = 144,003.3

The decimal number written in scientific notation is 1.44 x 10^(5).

Answer:

3.74 × [tex]10^{5}[/tex]

Step-by-step explanation:

Given

3.3 × [tex]10^{5}[/tex] + 44000

= 3.3 × [tex]10^{5}[/tex] + 4.4 × [tex]10^{4}[/tex] ← factor out [tex]10^{4}[/tex]

= [tex]10^{4}[/tex]( 3.3 × [tex]10^{1}[/tex] + 4.4)

= [tex]10^{4}[/tex](33 +4.4)

= [tex]10^{4}[/tex] × 37.4

= [tex]10^{4}[/tex] × 3.74 × [tex]10^{1}[/tex]

= 3.74 × [tex]10^{(4+1)}[/tex]

= 3.74 × [tex]10^{5}[/tex]

what is the volume of the sphere shown below with a radius of 3

Answers

Answer:

The answer to your question is: letter A

Step-by-step explanation:

Data

radius = 3

Formula

V = (4/3)πr³

V = (4/3) π (3)³ =                      Substitution

V = (4/3) π (27)                         Simplify

V = 108π / 3

V = 36 π u³

A. The volume of the sphere is 36[tex]\pi[/tex] cubic units.

What is formula of volume of sphere ?

Let, r be the radius of the sphere.

Then the volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units

What is the required volume ?

Given radius of sphere (r) = 3 units

So, the volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units

                                           = [tex]\frac{4}{3}\pi *3^{3}[/tex] cubic units

                                           = [tex]\frac{4}{3}*27\pi[/tex] cubic units

                                           = [tex]36\pi[/tex] cubic units

Learn more about volume of sphere here :

https://brainly.com/question/27007326

#SPJ2

CHECK YOUR UNDERSTANDING
Kyle invests $20,000 in a partnership that has five other partners.
The total investment of the partners is $160,000. What percent of the
business is owned by the five other partners?

Answers

If Kyle has invested $20,000 of the total $160,000 invested, that means the other give investors invested $140,000. Divide the about they invested by the total amount invested, and you will get .875. That is equal to 87.5%. The five investors own 87.5% of the business.

The percentage of the business that is owned by the five other partners is 87.5%.

Amount invested by Kyle = $20000

Total investment of the partners = $160000

The percentage of the business that is owned by the five other partners will be:

= ($160000 - $20000) / $160000 × 100

= $140000/$160000 × 100

= 87.5%

Therefore, the other partners have 87.5% of the investment.

Read related link on:

https://brainly.com/question/12186568

a. 2.95 + 18.3 +11
b.9.2 - 0.375
c. 0.275 + 27.5
d. 90 - 0.903​

Answers

Answer:

a. 32.25

b. 8.825

c. 27.775

d. 89.097

A large multiplex movie house has many theaters. The largest theater has 44 rows. There are 20 seats in the first row. Each row has four seats more than the previous row. How many total seats are there in this​ theater?

Answers

Final answer:

The total number of seats in this movie theater is 4224. This is calculated using the sum of an arithmetic series formula.

Explanation:

The question describes an arithmetic sequence where each row in the theater has four more seats than the previous row. The first row has 20 seats and the last row (44th row) has[tex]20 + 4*(44-1) = 172[/tex] seats. The total number of seats in this theater is therefore the sum of an arithmetic series formula, which is given by:

[tex]S = n/2 * (a + l)[/tex]

Where:

S is the sum of the sequence n is the number of terms a is the first term l is the last term

So for the number of seats, we have:

[tex]S = 44/2 * (20 + 172) = 22 * 192 = 4224.[/tex]

So, the total number of seats in the theater is 4224.

Learn more about Arithmetic Series here:

https://brainly.com/question/16415816

#SPJ3

A man caught a fish. It weighed 5/7kg + 5/7 its own weight what did it weigh

Answers

The fish would weigh around 2.69 lbs

2x+y=4________(1) and x²+xy=-2_______(2) solve this simultaneously find X and Y​

Answers

Answer:

[tex][2 - \sqrt{6}, 2\sqrt{6}] \\ [2 + \sqrt{6}, -2\sqrt{6}][/tex]

The work is shown above.

I am joyous to assist you anytime.

A company packs boxes at a constant rate of 3/4 of a box every of a box every
1/2 minute. What is the number of boxes per
A company packs boxes at a constant rate of
minute the company packs?

Answers

Answer:

1  1/2 boxes per minute

Step-by-step explanation:

The company packs boxes at a rate of 3/4 of a box every 1/2 minute. By multiplying this rate by the reciprocal of the time (2/1), we find that the company packs 1.5 boxes per minute.

The student's question involves finding out the rate at which a company packs boxes. The company packs boxes at a constant rate of 3/4 of a box every 1/2 minute.

To find how many boxes are packed per minute, we need to adjust the given rate to reflect the number of boxes packed in one full minute. We can do this by dividing the number of boxes (3/4) by the fraction of the minute (1/2) during which they are packed.

Here's a step-by-step explanation:

Multiply the number of boxes by the reciprocal of the time fraction: (3/4) × 2/1.Simplify the result: 3/4 × 2 = 6/4, which reduces to 3/2 or 1.5.

Therefore, the company packs 1.5 boxes per minute.

Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
month, how many months will it take her to save enough money to buy the
scooter?
F. 29
6.31
H. 27
J. 33​

Answers

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

[tex]35M = 1015[/tex]

where [tex]M[/tex] is the number of months that Rachel has saved up money.

Dividing both sides by 35, we get the answer:

[tex]M = 29[/tex]

Correct answer should be = F (29 months)

How to solve -17-3(2x+13)+24

Answers

Answer:

Step-by-step explanation:

-17 - 3(2x + 13) +24

-17 - 6x - 39 +24

-17 - 6x - 15

-6x - 32

0 = -17-3(2x+13)+24
0 = -20(2x+13)+24
0 = -40x-260+24
0 = -40x-236
0 = -10x-59
10x = -59
x = -59/10

State a true conclusion.
1) If B is between A and C then AB + BC = AC.
2) Q is between R and S.
Conclusion

Answers

Answer: QR + RS = QS

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use multiplication and the Distributive Property to find the quotient. 96 divided by 6?

Answers

Answer:

6/96 is 16

Step-by-step explanation:

so the answer is 16

Answer:

16

Step-by-step explanation:

Given are two numbers 96 and 6.

We have to divide the first number by the second number using multiplication and distributive property.

Let us write

[tex]96 =60+36\\96 =6(10+6)\\[/tex]

Thus we find using multiplicative and distributive property

6 when multiplied by 16 gives 96

So quotient is 16.

5 + 3 x 2 - 6 value: 10 what is the answer

Answers

Answer:

10

Step-by-step explanation:

5+3=8

8×2=16

16-6=10

Jackson wants to divide a pound box of
trail mix into small bags. Each of the bags
will hold pound of trail mix. How many
bags of trail mix can Jackson fill?​

Answers

the answer to your question is : 4 :-) hope this is correct

Jackson can fill 2 bags of trail mix, with each bag holding ½ pound of trail mix.

To calculate how many bags of trail mix Jackson can fill:

First, determine how many bags can be filled with 1 pound of trail mix:

1 pound bag ÷ ½ pound per bag = 2 bags

Next, divide the pound box into bags: 1 pound box ÷ ½ pound per bag = 2 bags

Therefore, Jackson can fill 2 bags of trail mix.

Sally was 200 apples she Eliot’s all of them up in 39 how many apple slices would she have now

Answers

Answer:

I don't know the question but I think you mean something that has to do with multiplication

Step-by-step explanation:

If you have 200 apples and you cut them up into 39 slices each there is now 39 slices for each of those. You now have 200 x 39 slices. So, to simplify it you have 7800 apple slices

Topic: Multiplication

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 ​units, what fraction of the area of ACIG is represented by the shaded​ region?

Answers

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

[tex]A=b^{2}[/tex]

where b is the length side of the square

we have

[tex]A=49\ units^2[/tex]

substitute

[tex]49=b^{2}[/tex]

[tex]b=7\ units[/tex]

therefore

[tex]AB=BE=ED=AD=7\ units[/tex]

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

[tex]A=(AC)(AG)[/tex]

substitute the given values

[tex]A=(9)(10)=90\ units^2[/tex]

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

[tex]A=(DE)(DG)[/tex]

we have [tex]DE=7\ units[/tex]

[tex]DG=AG-AD=9-7=2\ units[/tex]

substitute[tex]A=(7)(2)=14\ units^2[/tex]

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

[tex]A=(EF)(CF)[/tex]

we have

[tex]EF=AC-AB=10-7=3\ units[/tex]

[tex]CF=BE=7\ units[/tex]

substitute

[tex]A=(3)(7)=21\ units^2[/tex]

step 5

sum the shaded areas

[tex]14+21=35\ units^2[/tex]

step 6

Divide the area of  of the shaded region by the area of ACIG

[tex]\frac{35}{90}[/tex]

Simplify

Divide by 5 both numerator and denominator

[tex]\frac{7}{18}[/tex]

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

Answer:

7/18

Step-by-step explanation:

The left and right page numbers of an open book are two consecutive integers whose sum is 519. Find these page numbers.

Answers

Answer:

The answer is 259 and 260

Step-by-step explanation:

519/2= 259.5

259+260=519

What is 10 × 7 thousands in unit form

Answers

Answer:

ten thousands/thousands/hundreds/tens/ones

          7          /         0      /        0     /    0 /   0

Explanation:

10 x 7,000 = 70, 000

Answer:

70000

Step-by-step explanation:

According to the Zero-Product Rule, multiply 7 by 1000 to get 7000, then attach that extra 0 to the answer, giving you 70000.

I am joyous to assist you anytime.

find the quotient of 144 and 12

Answers

Answer:

The answer is 12

Step-by-step explanation:

12 can go into 14 one time and 12 goes into 24 twice

Answer: 144 divided by 12 = 12

Step-by-step explanation:

Convert 65,000,000 to scientific notation.

Answers

Answer:

6.5 x 10^7. PLEASE MARK BRAINLIEST IF THIS HELPS.

Step-by-step explanation:

Well, its kind of hard to explain but i'll do my best.

65,000,000 has six zeros, and in order to get the answer, you have to put the answer into a decimal. So all you have to do is put the decimal right here. 65000000.< Hope that makes sense. Then all you have to do is move that decimal to the left however many times is needed to make the answer a decimal (in this case it is 7 times). Which makes the answer 6.5 but your not done yet, then, since you had to move to the left seven times in order to get your decimal, that means the second part of your answer is 10^7, (10 to the seventh power) since you moved seven times. Example: if you had had to move to the left 9 times to get your decimal, then it would have been 10^9, if that makes any sense. So that means your final product would be 6.5 x 10^7

Answer: 6.5 x [tex]10^{7}[/tex]

Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.

In this case, we can write 65,000,000 as 6.5000000 and notice that there is only one digit to the left of the decimal point.

Next, we count the number the number of places the decimal point would need to move in order to get back to our original number which is 65,000,000. In this case, we would need to move the decimal point 7 places to the right in order to get back to our original number. Since we would need to move the decimal point 7 places to the right to get back to our original number, this would mean that we have an exponent of 7.

Therefore, 65,000,000 can be written in scientific notation as 6.5 x [tex]10^{7}[/tex]

A rectangle has a length of 43 5/7 feet and a width of 42 1/10 feet. What is the perimeter (distance around the edges) of the rectangle in feet? Express your answer in mixed number form, and reduce if possible.

Answers

Answer:

1839.77

Step-by-step explanation:

What is 5.8×10^6 seconds in minutes?

3.48×10^4 ​​minutes

9.67×108 ​​minutes

9.67×104 minutes

3.48×108 ​​minutes


PLZ HELP
i will give brainlyest

Answers

Answer:

9.67 x 10^4

Step-by-step explanation:

5.8 x 10^6 / 60

= 96700 minutes

= 9.67 x 10^4 minutes

Answer:

9.67 x 10^4

Step-by-step explanation:

Write a subtraction expression using integers, whose difference equals -5.

Answers

-3+ -2= -5

same sign add

-7 + 2 = -5

different signs subtract and keep the sign of the BIGGER number

Order from least to greatest.

34%, 4/15, 0.3

Answers

Today we are ordering. To do this, I recommend you to convert to either decimal or fraction. Let's go with fractions, cause why not.

To order, make 0.3 into 3/10 because 3 is 3 of 10. We make 34% as 17/50 since 1% equals 1/100.

Reorder:

17/50, 4/15, 3/10. All fractions here can be x/750.

Reorder:

225/750, 200/750, 225/750.

As you see, there are two 225s. It's okay of however you write it as. We also have to remember that the question has to be using 34%, 4/15, and 0.3.

Answer: 4/15, 17/50, 0.3 is the answer.

An aircraft flies against the wind for a distance of 300 miles in 2 hours then the aircraft makes the return trip with the wind in 1 hour what was the aircraft average speed for the entire trip

Answers

Final answer:

The aircraft's average speed for the entire trip, both against and with the wind, is 200 miles per hour. This is calculated by dividing the total distance travelled (600 miles) by the total time taken (3 hours).

Explanation:

To solve this problem, we'll use the formula for average speed: Total Distance/Total Time. In this case, the aircraft flies 300 miles against the wind and 300 miles with the wind, so the total distance is 600 miles (300+300).

The total time is the time it takes to fly against the wind plus the time it takes to fly with the wind, which is 3 hours (2+1).

So, the average speed for the entire trip is 600 miles/3 hours = 200 miles per hour.

Learn more about Average speed here:

https://brainly.com/question/17661499

#SPJ2

Use the properties of addition to simplify 2d + 2 - 7f+ 4d - f.

Answers

6d - 8f + 2

hope this helps


Answer:

6d - 8f + 2

Step-by-step explanation:

Other Questions
The mountain peaks shown below were initially formed millions of years ago through the processes of folding, faulting, and overthrusting. Image courtesy of the U.S. NPS Over the past several million years, these peaks have been gradually worn down. If not for the process of _______ carrying small bits of sediment away, the peaks above might be 1,000 meters taller. A. erosion B. chemical weathering C. deposition D. physical weathering A salesperson driving to visit a client located two hours away has a tire blow out on the highway. He walks about a mile to the next exit where he finds a service station. The owner of the station says he can replace the blown tire, but it will cost twice as much as it would to purchase a tire in the salesperson's home city. The salesperson, not wanting to be late for his appointment, agrees to pay the higher price in order to get back on the road. This case illustrates the effect of ______________________ on buying behavior. Write an if statement that assigns to the variable biggest the Greatest value contained in variables i, j and k, Assume the three values are distinct. List the major factors that affect atmospheric CO2on long geological time scales. Draw a simple box model of the influences on atmospheric CO2, showing the major reservoirs and fluxes. The model does not need to be quantitative. Use the binomial theorem to compute (2x-1)^5 Describe the key features of the Watson-Crick model for DNA structure. Find all optimal solutions to the following LP using the Simplex Algorithm:maxz = x1 + 2x2 + 3x3s.t.x1 + 2x2 + 3x3 10x1 + x2 5x1 1x1,x2,x3 0 2 pts Paul and Michael sell magazine subscriptions by telephone. Paul is paid $1.00 for every 5 calls he makes, while Michael is paid $1.00 for each call that sells a subscription. Pauls telephoning is reinforced on a _____ schedule, whereas Michaels is reinforced on a _____ schedule.A.Variable-ratio; fixed-ratioB.Fixed-interval; variable-ratioC.Fixed-ratio; variable-intervalD.Fixed-ratio; variable-ratio The development of early Greek culture occurred over a period of approximately how many years after the end of the Mycenaean Civilization?400120018002200 What would happen if there is no connective tissue With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously? Explain why new Englanders protested the war I am having a Tell your story meaning I have to share my story, right infront of my class on Monday, and I am super nervous for that! And I dont like being so nervous, can you please help me how to not get nervous to share my story infront of the class?y A rectangular prism has a diagonal of 18.1 cm and its base has a diagonal of 16.2 cm.What is the approximate height of the rectangular prism?A.1.9 cmB.8.1 cmC.19.9 cmD.24.3 cm - In your opinion, should Cromwell have treatedthe rebels so harshly? (Explain with evidence) On Monday, Ken spent half of his money on a new game. The next doy he earned $ 12 mowing lawns He now has $32. How much money did Ken hoy before bought the game ? On June 1, 2018, Dirty Harry Co. borrowed cash by issuing a 6-month noninterest-bearing note with a maturity value of $480,000 and a discount rate of 9%. Assuming straight-line amortization of the discount, what is the carrying value of the note as of September 30, 2018? (Round all calculations to the nearest whole dollar amount.) 15. Explain how you can calculate each squareroot mentally.a) 31 x 31b) 431 X 431c) 17 squaredd) 432 squared The IT department sent out a memo stating that it will start delivering desktop computer interfaces through the IT data center via a web browser interface. What technology is the IT department using?a. Public cloud computingb. Server clusteringc. Directory serverd. Virtual desktop infrastructure The concentration of H30 in your swimming pool is 4 x 10^-5 M. What is the pH of your pool? O a.-4.4 Ob.4.4 Oc. 0.00004 O d.-0.6 O e.0.6