George wants to increase the amount of push-ups that he can do each day by 2. He is already able to do 14 push-ups. The amount of push-ups George wants to do each day is given by the linear function f(x) = 2x + 12. Which explicit rule is equivalent to this linear function?

Answers

Answer 1

Answer:

Explicit rule used is: f(n) = f(1) + (n - 1)d

Step-by-step explanation:

We are told he currently does 14 push ups per day.

Now, he wants to increase the push ups by 2 per day.

Now, the first term in the sequence of push ups is 14 while the constant difference is 2.

Now, the explicit rule to be used here is arithmetic progression whereby;

f(n) = f(1) + (n - 1)d

Where;

f(1) is first number in the sequence

d is constant difference

n is number of days

Thus, plugging in our values from the question, we have;

f(n) = 14 + (n - 1)2

f(n) = 14 + 2n - 2

f(n) = 2n + 12

This tallies with the linear function given in the question.

Thus; the explicit rule used here is;

f(n) = f(1) + (n - 1)d


Related Questions

-9+n/4 = -11 The slash represents a fraction so (n over four.) Please help thank you!! :)

Answers

Answer:

n=-8

Step-by-step explanation:

-9+n/4=-11

n/4=-2

n=-8

Step-by-step explanation:

n/4= -11+9

n/4= -2

n= -2× 4

n= -8


2. What is the equation in slope-intercept form of the line that passes through the given points in
the table?
x
2
3
y
-1
-4

Answers

Answer:

3y= -1 + 2x -4

Step-by-step explanation:

cause.... COOCHIEMAN

need help with slope ​

Answers

X-Intercept: (0,100)

Y-Intercept: (-250,0)

Find a equation of the line for which (5,10) is a point on the line

Answers

Answer:

you go to the right 5 and go up 10

Step-by-step explanation:

PLEASE HELP QUICK WILL THANK AND GIVE BRAINLY

A doctor has office hours 3 days each week. Each day she sees 24 patients.
How many patients does she see in one year? Remember, there are 52 weeks in a year.

Answers

Answer:

3774

Step-by-step explanation:

Josie deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals how muck money is in Josie's account at the end of four months?

Answers

Answer:

$309.20

Step-by-step explanation:

$450 - 4(35.20)

After four months she will have $309.20

Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el tercer juego pierde el 40% de todo lo que ha perdido quedándole 37 soles para seguir apostando. Dar como respuesta el dinero que el apostador tenía al principio menos su 75%

Answers

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

[tex]= 30/100 \ of \ x\\= 0.3x[/tex]

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

[tex]= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x[/tex]

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

[tex]=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x[/tex]

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

[tex]= 106.48-79.86\\= 26.62[/tex]

Here is a list of numbers
-45 -21 -16 12 33 40

Write down two numbers that have a difference of 29

Answers

Answer:

45 and 16 because:45 - 16 = 29

Help me on this please

Answers

Answer:

It would be y=-6.

The Newton city park has 11 basketball courts which are all in use. There are 54 people playing basketball some are playing one on one and some are playing in teams. A one on one game requires two players and a team game requires 10 players. Write a system of equations that represents the number of one on one and team games being played

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of basket ball courts = 11

Total number of people playing basketball = 54

Number of players required for one on one game = 2

Number of players required for team game = 10

Inequality to represent number of one on one and team Games being played :

Let one on one games = a

Team games = b

Number of players required for each game * number of games

2a + 10b = 54 - - - (1)

a + b = 11 - - - (2)

a = 11 - b

2(11 - b) + 10b = 54

22 - 2b + 10b = 54

8b = 32

b = 4

a = 11 - b

a = 11 - 4

a = 7

Number of one on one games = 7

Number of Team games = 4

yall i need this answerd asap plz help

Answers

Answer:

B

Hope this helped ;)

The correct answer is option B, I would appreciate a brainliest thank you

A realtor makes a 3% commission on every house they sell. If they just sold a house for $314 000, how much did the realtor make?

Answers

Answer: $9420

Step-by-step explanation: 314000x0.03 is 9420

Answer: 314,000 x 0.03 = $9,420

just had a brain spat. help?

Answers

Answer:

6

Step-by-step explanation:

First you multiply both sides by 3. Than you simplfiy. Next you add 24 to both sides. Simplify. Finally you divide both sides by 12 & simplify. Which should give you 6.

(Answer = 6)

Answer:6

Step-by-step explanation:

Math I need help 8th grade

Answers

Answer:

Part A x=60

Step-by-step explanation:

68+52= 120

180-120=60

So x=60

Please help me with this question!!

Answers

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]

Jessie was dividing these two fractions:

[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]

And got the incorrect result

[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]

The correct result is 2 pounds per quart

Can someone help me with eatheR G AND H, I AND J, OR. K AND L plzzzz two of any of your choice :)

Answers

G) 2x= 60 degrees and x Is 30 degrees H) is 30 degrees

i just need some help on a few math questions. i'm very bad at math sorry :(

Answers

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

Susan had $30 before she bought 7 mugs. Afterwards, she only had $5.50 left. The scenario can be expressed by: 30 - 7k = 5.50 where k represents the price for 1 mug. What is the value of k? a) k = 24.50 b) k = -3.50 c) k = 5 d) k= 3.50​

Answers

Answer:

Answer choice D. k is equal to 3.5

Step-by-step explanation:

In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.

30 - 7k = 5.5

-30          -30

Then we get...

-7k = -24.5

Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.

-7k = -24.5

-7        -7

And we get...

k = 3.5

And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.

8x-13+4+1=90 helppppppp

Answers

Answer:

x = 49/4

Step-by-step explanation:

How would I do this?

Answers

Go to desmos graphing calculator

Ok I have a couple of questions please help on the one you know please!!

Answers

Answer to Roberto's question:

4

Step-by-step explanation:

I'm not sure how to explain this one (my apologies).

Answer to Parallelogram JKLM question:

Q = 110° & ST = 9 ft

Explanation:

When reflecting this, the angle/side lengths remain the same. That means the information is going to be the exact same. All you have to do is figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. Making L = K, M = J, and so on.

Basically, flip the shape upside down for this problem, and look at that and the shape without angles, find the corresponding letter to the angle to get your answer. In this case, Q is that corresponding letter. Meaning your answer for Q = 110°

When it comes to figuring out ST, since the shape is just flipped and all the lines making the parallelogram are equal to each other, the feet remains the same. Meaning ST = 9 ft.

Answer for a triangle with vertices equation:

(-6,7) (2,8) (-4,3)

This one I didn't know how to do but I looked up the problem and this was the answer.

Answer to Hailey's plywood question:

7 inches

Explanation:

This one's a trick question. The size of an object does not change no matter how much you rotate it. Therefore the answer is going to be the same.

Sorry this took so long, hope I helped!

Write an equation for the line with slope that contains the point (-4, 8)

Answers

Answer:

y= 2(-4) + 8

hope it helps

Given QRS =TUV,QS=3n+4,and TV=6n-8,find the length of QS and TV.

Answers

Answer: A. 16

Step-by-step explanation:

It would be C, but at the end you have to plug it in the 3n + 4. :)

50 POINTS!!!
Write two linear functions, f(x) and g(x). For example, f(x) = 3x – 7 and g(x) = –2x + 5. Then see whether f(x) – (–g(x)) is equivalent to f(x)+ g(x). Hint: To find –g(x), just change the signs of all the terms in g(x). Discuss whether you think your results would apply to every function.

This can be any equation that would work for this, there is no specific answer.

Answers

9514 1404 393

Answer:

f(x) = xg(x) = -2x+1f(x) -(-g(x)) = -x+1f(x) +g(x) = -x+1f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

Answer:

f(x) = x

g(x) = -2x+1

f(x) -(-g(x)) = -x+1

f(x) +g(x) = -x+1

f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

 f(x) = x

 g(x) = -2x+1

Then the reflected function -g(x) is ...

 -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

 f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

 f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

GIVING BRAINLIEST!!! A student observes a beaker of room temperature water resting on a table. She states that the beaker of water does not have any energy. Which statement below is accurate regarding her observation?
a. She is correct because the beaker of water is not moving.


b. She is incorrect because the beaker of water has thermal energy.


c. She is incorrect because all water contains hydrogen and oxygen.


d. She is correct because the beaker of water is at room temperature.

Answers

Answer:

b

Step-by-step explanation:

A country is dealing with a serious macroeconomic problem. Businesses
around the country have been shutting down, leaving millions of people out of
work. Even citizens with a high level of education and technical skills are
struggling to find jobs.
Which problem is this country dealing with?
A. A high unemployment rate
B. A high level of inflation
C. A low per capita GDP
D. A rapid growth in GDP

Answers

Answer:

A: A high unemployment rate

Step-by-step explanation:

A high unemployment rate is the problem which is dealing by the country

What is Business?

Business is the practice of making one's living or making money by producing or buying and selling products.

Given that a country is dealing with a serious macroeconomic problem. Businesses around the country have been shutting down, leaving millions of people out of  work.

Even citizens with a high level of education and technical skills are

struggling to find jobs.

This problem is dealing with high unemployment rate.

Unemployment is a measure of the percentage of the labor force that is without work but actively seeking employment.

By given data it suggests that many businesses have shut down, leading to a significant increase in the number of people who are out of work. This situation is often referred to as a high unemployment rate.

Hence, a high unemployment rate is the problem which is dealing by the country.

To learn more on Business click:

https://brainly.com/question/15826604

#SPJ7

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

i need help ASAPPPP A spinner has 3 equal sections, one that is red, one yellow, and one blue. The spinner is spun 20 times and the results are recorded in the table.
Color Frequency
Red 7
Yellow 9
Blue 4
Based on these results, what is the experimental probability that the next time the spinner is spun it lands on yellow?
a.0.35
b.0.45
c.0.920
d.0.2

Answers

Answer:

B

Step-by-step explanation:

Hope this helps  :)

If so mark brainliest

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?

Answers

Complete question :

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes

Answer:

Prax and sandy

Step-by-step explanation:

Given that:

Jim's pace = 4 miles in 38 minutes

Jim's rate = Distance covered / time.

Rate = 4 / 38 = 0.1052631 miles /min

Prax ran 6 miles in 57 minutes:

Prax rate : 6miles / 57 mins = 0.1052631

Jose ran 5 miles in 45.5 minutes:

Jose's rate = 5 miles / 45.5 = 0.1098901 miles /

minute

Sandy ran 7 miles in 66.5 minutes:

Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes

Zynep ran 3 miles in 27 minutes:

Zynep's rate : 3 / 27 = 0.1111111 miles / minutes

Please helpppp pleaseee

Answers

Answer:

-5x⁹ y⁵

Step-by-step explanation:

x⁵y² ((-5x⁴)(y³)) = -5x⁹ y⁵

Answer:  x5y2(5x4y3) =5x9y5

Step-by-step explanation:

Other Questions
An object weighs 530.0 Newton. It is being pushed along a horizontal surface by a 340.0-Newton force. Determine the mass of the object. Enter a numerical answer. Which of the following is NOT a part of the family life cycle?Question 7 options:School ageMarriage/partnerIndependenceRetirement age I need two examples of using informal commands to give driving directions. Aquanauts explore the area called? Question 61 point)Chip earns a base salary of $500 per month as a salesman. In addition to the base salary, he earns $100 per product that he sells. If hisgoal is to earn $5000 per month, how many products does he need to sell? In the figure, BAT CAT. Which statement is true by CPCTC?ABS SCTSB BCBT CT BAT CTA Assume Merck (MRK) just announced that its next dividend will be $2, paid one year from now (you just missed the prior annual dividend). You expect the dividend will grow (after the $2 dividend) by 3% per year forever. Your required return is 10%. What are you willing to pay for a share of Merck stock HELP ASAP: Can you draw a quadrilateral that's not a parallelogram with only one pair of congruent angles? Explain why one pair of congruent angles isn't enough information to prove that a quadrilateral is a parallelogram. Which of these equations will you used to find the final velocity if the initialvelocity and time is given? * 2.(3x 4y = -10(6x + 3y = 42SOLUTION: what expresion is equal to What economic activity level are they- Belarus-Cuba -Mexico -Iceland -Japan-Kuwait -Mali -Bhutan -Thailand -USA Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel from the Sun to Mercury. Neptune is the farthest, with an average distance of 2.8 x 109 miles from the Sun. How many times farther from the Sun is Neptune than Mercury? How long does it take light to reach Neptune? Follow the steps to find out. 1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer. which one does not belong ?1/20 _20/25 _2/3_ 5/4And why is the answer correct?. A team is required when?A. Reporters are inexperiencedB. The news organization is understaffedC. Journalists must travel to anotherstateD. A project has multiple elements hola mi nombre es victoria y espero que todos tengan un feliz halloween if X = 5 then 3( 2X - 4) - X What are the notes used in the song?In hickory dickory dock A tide pool is a puddle of seawater left in the rocks when the tide goes out. Tide pools are often full of life. Which group includes only abiotic factors from the tide pool habitat?a. sea plants, rock, sand, airb. sea stars, anemones, sea plantsc. rocks, sand, water, air, saltd. water, air, anemones, sand TRUE OR FALSEAngle BAH and angle DAG form linear pair.