Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

Answers

Answer 1

Answer:

t(x) = 6x + 438

Step-by-step explanation:

The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.

Note that the first function is fixed and doesn't  actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.

// combining the two functions

t(x) = 450 + 6(x − 2)

// simplification

t(x) = 450 + 6x − 12

t(x) = 450 + 6x − 12

// the simplified function is

t(x) = 6x + 438


Related Questions

HELP PLEASE 20 POINTS
Describe what a solution is for a system of equations and explain how this relates to setting the equations equal to each other?​

Answers

Sorry, can you tell me in Spanish, I don't understand much English, I really want to help you, can you do what I told you? Thanks

3y - 8 = -3(4 - 2x)
Step 2 of 2: Find the equation of the line which passes through the point (- 12. -3) and is parallel to the given line Express
your answer in slope-intercept form. Simplify your answer.

Answers

Answer:

y=2x+21

Step-by-step explanation:

Look at attached pictures for further explanation

13. simplify and factor this expression; 12x+18y+18x D NEED HELP ASAP​

Answers

Answer:

30x+18y

Step-by-step explanation:

12x+18y+18x

combine like terms

30x+18y

Answer:

6 ( 5x + 3y ) did the calculations, just simplified

Where would the shape located after a reflection across the x-axis?

Answers

I think it would be quadrant 2

I need help plzzzzzzzzzz

Answers

Answer: The perimeter of the triangle is 33b - 8

Step-by-step explanation:

If a punch bottle says 10% fruit juice, and it is a 150 milliliter bottle, how many milliliters of fruit juice is in the bottle?

Answers

Answer:

i believe the answer is 15 milliliters

Step-by-step explanation:

Answer:

Figure it out yourself

Step-by-step explanation:

15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?

*IMAGE LINKED*

4x+16

4(x+3)

x+34

-4(x+3)​

Answers

Answer:

It would be 4(X + 3)

Step-by-step explanation:

There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).

NOLUR DOGRU CEVAP VE ANLATIMLI OLSUN doğrusu na 30 puan​

Answers

Answer:

Step-by-step explanation:

A'nın dört olası değeri vardır: 16, 17, 18, 19

Answer:

Step-by-step explanation:

cevap d şıkkı yani 6

What are these negative fractions converted to positive ones (I suck at math so I need an explanation): -5/6, -7 3/8, -3/11

Answers

Answer:

multiply each by -1

-5/6 x -1 = 5/6

-7 3/8 x -1 = 7 3/8

-3/11 x -1 = 3/11

Step-by-step explanation:

I really need help answering this please

Answers

Answer:

Step-by-step explanation:

NM=26

LM=[tex]\sqrt{26^{2} +33^{2} }[/tex]

LM=42.0

Will mark brainliest!! Look at picture for question please

which expression is equivalent to 6Vg^5, if g> 0

Answers

Step-by-step explanation:

Option d is he correct answer.

.....

Option D is correct. Since 6 is the index, it automatically becomes the denominator for a fraction. And since 5 is the exponent, it becomes the numerator. (G is the radicand).

So to simplify this equation, it becomes
g5/6 (5/6 in exponential form.)

5. Round 16.975 to the nearest hundredths
A 16.10
B. 16.98 C. 16.20 D. 16.97
6. Encircle the letter of the number that rounds off to 10.85
A 10.859
B. 10.857 C. 10.851 D. 10.856
7. Which of the following order numbers from greatest to least?
a 3.756
37.56
375.6 0.3756
b. 0.2468
0.2486 0.2648 0.2846
C. 11.010
11.011 11.0110 1.1101
d. 2.86
2.75
2.68
2.56​

Answers

Answer:

5. B

6. C

7. D

Step-by-step explanation:

hope this is correct and helps hehe

19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)

Answers

Answer:

A total of  8 (eight) completely filled cups.

Step-by-step explanation:

Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.

Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:

Volume = 19 x 6 x 30 = 3420 cm^3

The amount of water in it fills 2/3 of its volume, then:

amount of water = 2/3 (3420) = 2280 cm^3

Now to find how many cups can be filled with such amount of water, we do the division:

2280 / 275 = 8.29

Then the maximum number of completely filled cups is: 8

operación 1: (6+(4*12)/12-2)+5​

Answers

Answer:

13

Step-by-step explanation:

6+ (4)(12) /12 −2+5

=6+ 48 /12 −2+5

=6+4−2+5

=10−2+5

=8+5

=13

please show work and solve (3x^2) (-2x^4)

Answers

Answer:

[tex]-6x^6[/tex]

Step-by-step explanation:

We have the expression (3x^2)(-2x^4) and are being asked to solve.

(3x^2)(-2x^4)

When we have this type of question with exponents, it may seem easier to try and solve/simplify the exponents, but here's an easier way, add the exponents and multiply the constant numbers.

Therefore :

2 + 4 are the exponents

^6

and 3 * -2 are the constant numbers

-6

-6x^6

[tex]-6x^6[/tex]

3. Find the surface area of the cylinder. (1 point)
2009.6 in
401.9 in
803.8 in
602.9 in

Answers

Answer:

Option (3)

Step-by-step explanation:

Surface area of a cylinder is given by the formula,

Surface area = 2πr(r + h)

Here, r = radius of the circular surfaces

h = Height of the cylinder

From the figure attached,

r = 8 in.

h = 8 in.

Therefore, Surface area of the cylinder = 2π(8)(8 + 8)

                                                                 = 256π

                                                                 = 803.8 in² [If π = 3.14]

Option (3) will be the correct option.

Subtract. 28.5−2.7 help

Answers

Answer:

25.8

Step-by-step explanation:

y = 5x – 22
3x + 2y = 34

Answers

Answer:

y = 5x – 22

3x + 2y = 34

Step-by-step explanation:

Answer:

x = 6, y = 8

Step-by-step explanation:

[tex]y=5x-22\\3x+2y=34\\\\3x + 2(5x-22)=34\\3x + 10x - 44 = 34\\13x - 44 = 34\\13x = 78\\x = 6\\\\y = 5*6-22\\y = 30-22\\y = 8[/tex]

two sixth times five

Answers

Answer:

1 4/6

Step-by-step explanation:Put 5 into a fraction (5/1) then time 5/1 times 2/6 and get 10/6 then covert it into a mixed number 1 4/6

Find the sale price of a $70 item after a 20% discount.

Answers

Answer:

$56

ez

Step-by-step explanation:

I think the answer could be 56

Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)

Answers

Answer:

I think its (7,-4)

Step-by-step explanation:

solve x:

plug in y

-x+3=-3x+17

solve

x=7

solve y:

plug in what you got for x

y=-3(7)+17

solve

y=-4

Do This
The following details are notes in meters in the field book of a surveyor. Find the area of the fields.​

Answers

Answer:

8900

Step-by-step explanation:

there are 4 triangles and 1 trapezoid in the shape

the area of first triangle

½×40×60

20×60

1200

the area of second triangle

½×(30+60)×60

½×90×60

30×90

2700

the area of third triangle

½×(40+30)×60

½×70×60

30×70

2100

the area of fourth triangle

½×30×30

15×30

450

the area of the trapezoid

½×(30+40)×(30+40)

½×70×70

35×70

2450

the area of the field

1200+2700+2100+450+2450

8900

note: the attached shape is got from the table and the shape is not made to accuracy

Select the graph that best represents the given table of values.

x f(x)
6 4
2 8
10 0

witch graph is right
1 2 3 or 4

Answers

Answer:

The first image,

Step-by-step explanation: Hope this helps!

You are applying for an 80/20 mortgage to buy a house costing $100,000.
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What will the total
amount of the mortgage be?

Answers

Answer:

$200,703.60

Step-by-step explanation:

this is the is the answer, i used a tvm solver

The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.

Answers

Midpoint Definition: The point where a line is perfectly split in half

Coordinates exist in the form of ( x, y )

Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.

In other words,

Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )

You should get ( -22.5, 11 ) as your answer.

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.
What is the slope of the graph? Show your reasoning.

What does the slope tell us about this situation?


Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.


Does the equation y-250x=500 represent the same relationship between the distance from the start of trail and the elevation? Explain your reasoning.

Answers

Answer:-2

Step-by-step explanation:y=500+250x

Three oil companies, A, B and C, are exploring for oil in an area. The probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20. If B discovers oil, the probability that A will also discover oil is increased by 20%. Assume that the chance of C discovering oil is independent of A and B.
i) What is the probability that oil will be discovered in the area by one or more of the three companies?
ii) If oil is discovered in the area, what is the probability that it will be discovered by company C?

Answers

Answer:

Step-by-step explanation:

i )

the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.

probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464

probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A

= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60

= .256 + .032 + .072

= .36

probability that oil will be discovered by three companies.

= .40 x .60 x .20 = .048

Total probability = .464 + .36 + .048 = .872

ii )

Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A

+ Probability by A , B and C .

= .20 x .6 x .4 + .20 x .40 x .40 +  .20 x .60 x .60 + .40 x .60 x .20

= .048 + .032 + .072 + .048

= .20

If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872

= .23

The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:

1)

The discovery probabilities of 1, 2 or 3 companies must be added. (0.40 x 0.40 x 0.80 + 0.60 x 0.60 x 0.80 + 0.60 x 0.40 x 0.20) + (0.48 x 0.60 x 0.80 + 0.40 x 0.60 x 0.20 + 0.60 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) (0.128 + 0.288 + 0.048) + (0.2304 + 0.048 + 0.072) + 0.048 = X 0.464 + 0.3504 + 0.048 = X 0.8624 = X

2)

1.20 = 100 0.20 = X 0.20 x 100 / 1.20 = X 20 / 1.20 = X 16.66 = X

Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Learn more about maths in https://brainly.com/question/26138968

Simplify to create an equivalent expression.

2(−2−4p)+2(−2p−1)

Choose 1 answer:

(Choice A)
A
-12p-6

(Choice B)
B
-10p-6

(Choice C)
C
-12p+6

(Choice D)
D
12p-6​

Answers

Answer:

choice A

Step-by-step explanation:

-8p-4p - 4 - 2

= -12p-6

A 2-liter bottle is filled completely with water from a faucet in 10 seconds. How much water is filled into the bottle each second?
Pls who ever sees this (can you pls respond I’m desperate )

Answers

Answer:

2 L/10 sec is equal to the amount of water per second. which would be 0.2 liters per second

can someone help me with a two step equation that is x=3 please its for a math project

Answers

Answer:

Equation: 4x+15=3(x+6)

Step-by-step explanation:

Answer:

4x + 3 = 1(x + 12)

Step-by-step explanation:

Can u explain more?

Other Questions
If an object is thrown upward with an initial velocity of 16 ft/s, its height after t seconds is given by h - 16 - 16t^2.Find the maximum height attained by the object. Show your work. A) 0 ftB) -12 itC) 16 ftD) 4 ft plzzzzzzzzzzz helppppppppppppppppppp Use the model to write a equation Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can determine the amount she should pay by adding the total amount of the bill (b) to 18% of b + 18% b. Which expression shows another way that dinah can calculate the total amount she will pay, Including tip? Help me plssss Elena had $50 in the bank on Monday. She had $56 on Tuesday. What was the percent of increase from Monday to Tuesday? A.100 fish B.40 fish C.60 fish D.80 fish the fifth vital sign is____a.blood pressure b.pain .c.temperature d.respiration The general price level is 150.00 and people expect it to increase to 156.00 next year. Therefore, the expected rate of inflation equals percent. Moreover, there is a one-year bond that promises to pay $107,000.00 next year and is selling for $100,000.00 in the bond market today. So, the nominal interest rate equals percent, and the ex-ante real interest rate on this bond equals percent. Because of some news about the state of the economy, people revise their expectations of the future price level to 159.00. According to the Fisher Effect, the price of the bond today will change to_______ dollars. What significant childhood connection does Katniss have to Peeta? Jenee has a package of 30 cards. There are 5 orange cardsand 25 yellow cards.If she randomly picks 6 cards, what is the best predictionfor how many cards should be orange? If you horizontally stretch the quadratic parent function, f(x) = x2, by a factorof 3, what is the equation of the new function?O A. g(x) = xO B. g(x) = (3x)2C. g(x) = 3x2O D. g(x) = (3x)2 4/5+ 1/3 how much is it What day is Atticus trial on What is the answer to 2/6 + 1/2? Hi! Please help :) (will give brainliest Help Help Help help help help help pls Read the sentence:The celebratory dinner was roast beef and mashed potatoes.Identify the complete subject in the sentence. Celebratory dinner Dinner Roast beef Roast How are exponents used for measuring an earthquake? Can you explain? Can someone help me understand interphase, prophase, metaphase, anaphase, and telophase Find the solution of y = -x - 3 for x = -2.A.(-2, 1)B.(-2, -5)C.(-2, -1) Write in por or para and the reason whysp (por: around, transportation, through, reason, after doing something, cost, thanks, exchange, or duration. para: purpose, effect, recipient, future/point in time, employment, comparison, or towards.)