The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is , and the remaining credit after minutes of calls is . What is the remaining credit after minutes of calls?

Answers

Answer 1

Answer and Step-by-step explanation: Suppose remaining credit is y and time in minutes is x. To determine a value of y corresponding to a value of x, first find the equation for the function.

Since the function is linear, the equation is of the form: y = mx + b. To determine it:

1) Find slope, or inclination, of the line:

slope (m) = [tex]\frac{y_{b}-y_{a}}{x_{b}-x_{a}}[/tex]

where x's and y's are points of the function.

2) Determine the y-intercept, or b: Use a point of the function, replace them at the equation, y = mx + b, and find b.

3) The equation will be: y = mx + b

With the equation, replace x for the minutes the question is asking and calculate to find the remaining credit.

Th result will be a pair (x,y)


Related Questions

Express the following in the usual form
(a) 6.25×10-⁵

Answers

Answer:

0.0000625

Step-by-step explanation:

[tex]10^{-5}=0.00001[/tex]

[tex]6.25*10^{-5}=6.25*0.00001=0.0000625[/tex]

Answer:

So we need to express [tex]6.25 * 10^{-5}[/tex].

What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.

As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:

[tex]6.25 * 10^{-5}=0.0000625[/tex]

If you don't understand what does it mean to move the coma to the left, see this example to understand it:

We move it one time from 6.25 --> 0.625

We move it two times from 6.25 --> 0.0625

We move it three times from 6.25 --> 0.00625

We move it four time from 6.25 --> 0.000625

What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.

So now we know that [tex]\boxed{6.25 * 10^{-5}=0.0000625}[/tex]

Brad drives 527 miles on 17 gallons.How many miles does brad drive on one gallon? I know this is simple but i'm bad at math

Answers

Brad drives 31 miles on one gallon of gas
Brad drives 31 miles on one gallon - 527/17=31

Let f(x) = - 3x – 1 and g(x) = x2 – 3.
Find (fog)(-7).
Then (fog)( - 7)= (Simplify your answer.)

Answers

Answer:-139

Step-by-step explanation:

f(x)= -3x-1

g(x)= x^2-3

(fog)(-7)=?

Soln'

fog(-7)

=f {(-7)^2-3}

=f (49-3)

=f (46)

=-3*46-1

=-139

If 140 students want to go on the Coronado Island field trip and are ALL riding together, how many cars will they need if each car holds 6 people?

Answers

Answer:

24

Step-by-step explanation

bruh...

1. Divide 140 by 6 and you get 23.3 repeating

2. When you multiply 23 times 6 you get 138. (not enough seats)

3. So, you would need to have at least 24 cars in order for everyone to go on the trip. (24 x 6 = 144 seats)

We’re five and twenty two hundredths centimeters as a decimal

Answers

You answer will be 5 22/100

Five and twenty-two hundredths centimeters as a decimal will be 5.22.

What are decimal values?

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole amounts.

Given, we need to find out the five and twenty-two hundredths centimeters as a decimal. Since five is a whole number so it will be 5 and twenty-two hundredths will be 0.22.

Therefore, 5.22 is the decimal value of the given question.

Learn more about decimals here:

https://brainly.com/question/29765582

#SPJ5

sixty nine no plz urgently​

Answers

[tex]:\implies\sf\:\dfrac{4a^3}{a^4+x^4}+\dfrac{8a^7}{x^8-a^8}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3(x^8-a^8)+8a^7(a^4+x^4)}{(a^4+x^4)(x^4-a^4)(x^4+a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3x^8-4a^{11}+8a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3x^8+4a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3(a^8+2a^4x^4+x^8)}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3\tt{(a^4+x^4)^2}}{{\tt(a^4+x^4)^2}(x^4-a^4)}[/tex]

[tex]:\implies\boxed{\bf{\purple{\dfrac{4a^3}{(x^4-a^4)}}}}[/tex]

divide 68 into two parts so that the larger number exeed the smaller one by 6

Answers

Answer:

31, 37

Step-by-step explanation:

Let the smaller number be x

Therefore, longer number = x + 6

According to the given information:

x + x + 6 = 68

2x + 6 = 68

2x = 68 - 6

2x = 62

x = 62/2

x = 31

x + 6 = 31 + 6 = 37

Thus, the two parts of 68 are 31 and 37.

Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client’s complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.

Answers

Answer:

200n+50x+4000=Total Salary

Step-by-step explanation:

One of the angles of a right angled triangle is 52°. Find the other acute angle.

Answers

Answer:

Step-by-step explanation:

total angle of a triangle=180

52+90+x=180

x=180-(90+52)

x=180-142

x=38

Answer:

38

Step-by-step explanation:

Angle of a triangle is 180

52+90+x=180

x=180-(90+52)

x=180-142

x=38


3.How will the number 847.89632 be written if rounded to the nearest hundredth?

Answers

It would be 847.90000
Or you could write it as 847.9

Which is the inverse function of y=3x-9

Answers

Inverse is y = 1/3x - 3

Answer:

y=1/3-3

Step-by-step explanation:

Kerry has 77 dolls. Perry has e more dolls than Kerry. Write the expression that shows how
many dolls Perry has.

Answers

Answer: 77+e=Perry

Step-by-step explanation:

if you pulg in any number that is exacly what you will do to the number.

Find the equation of the hyperbola shown below. 15 Points, will give Brainliest! Due in 2 HOURS! A. (x - 1)^2/4 - (y + 4)^2/9 = 1 B. (y - 1)^2/4 + (x+4)^2/9=1 C. ( y + 1)^2/4 - (x - 4)^2/9 = 1 D. (y - 1)^2/9 - (x + 4)^2/4 = 1

Answers

Answer:

Solution:

[tex]\frac{\left(y-1\right)^2}{9}-\frac{\left(x+4\right)^2}{4}=1[/tex]

Step-by-step explanation:

We have the general equation for our up - down facing hyperbola as (y - k)² / b²- (x - h)² / a²  = 1. Let's start listing the properties of this graph -

• Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1). Therefore (h, k) = (- 4,1).

• Another thing here is our key value a. This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference. Therefore a = 3.

• That leaves us with our asymptotes. Now remember that it will be in the form y = ± b / a. We already know a = 3, so we have to find b. Looking at this graph I can say that another point besides (- 4,1) that lies on the " dotted line " is (- 2, - 2). Calculating the slope of the dotted line would be as follows,

Given: (- 4,1) and (- 2, - 2)

Slope = - 2 + 4 / - 2 - 1 = 2 / 3

We have the equation y = 2 / 3x. Therefore b = 2. Let's substitute to receive our equation...

h = - 4, k = 1, b = 2, a = 3

(y - 1)² / (3)²- (x + 4)² / (2)²  = 1

(y - 1)² / 9 - (x + 4)² / 4  = 1 ~ your solution is the last one, option d

Which of the following does NOT demonstrate a physical property of matter? A Salt and water combine to form a solution of salt water B Chocolate melts when it's left in the warm sun. C Batter changes to become cake when it is baked. D Water changes to water vapor when it reaches the boiling point

Answers

Answer:

b:chockelet

Step-by-step explanation:

What is the value of i5
1
−i
i
−1

Answers

I’m assuming you mean: What is the value of i^5? This symbol (^) means that the 5 is an exponent of five.
If you did mean i^5, then the answer is i.

or to put it in simpler terms,
i^5=i

I hope this helped!

x+y/ 3 = 5 solve for x x+y is the numerator and 3 is denominator

Answers

Answer:

x=−y+15

Step-by-step explanation:

21 and 23 can best be described as -​

Answers

Answer:

odd numbers

Step-by-step explanation:

you can see that end with odd numbers 1 and three so they can best be described  as odd numbers

HOPE YOU FIND IT USEFUL

 I NEED HELP ASAP PLSS A regular hexagon has vertices at the coordinates listed below. Find the perimeter of the hexagon.
(-12, -8),(-12,7), (0,16),(12,7),(12, –8),(0, -17)
A. 90
B. 99
C. 114
D. 78

Answers

B is the answer I think

Answer:

B.99 its the answer....

A hot dog cart charges exactly $0.50 per hot dog. If the equation t=kh represents the total amount a customer is charged, t, for purchasing h hot dogs, what is the value of k?

Answers

Answer:

$0.50

Step-by-step explanation:

According to the information given, in the equation  t=kh, t is the total amount a customer is charged and h is the amount of hot dogs purchased. So, to be able to get the total amount a customer is charged you have to multiply the amount of goods bought by the price of each good. Because of that, K would be the price per hot dog which is $0.50.

4 of 5
7 pens and 2 pencils costs £22.
3 pens and 4 pencils costs £11.
Find the cost of a pen.
Find the cost of a pencil.
pen: £
pencil: £
I

Answers

Answer:

pen: £3

pencil: £0.5

now I'm typing cause it said the answer needs to be at least twenty words long...

What is the value of x

Answers

x equals negative 8 that's it

Answer:

-8

Step-by-step explanation:

3x+5-x=x-3

collect like terms

3x-x-x=-3-5

x=-8

There are 10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles in a box. If two marbles are drawn at random without replacement, what is the probability that both marbles removed are not blue?​

Answers

Answer:

7/20

Step-by-step explanation:

10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles

25-10 = 15

There are 15 not blue marbles

P( not blue ) = not blue marbles / total = 15/25 = 3/5

keep the not blue marble

25-1 = 24 marbles left

15-1 = 14 not blue marbles

P( not blue ) = not blue marbles / total = 14/24 = 7/12

P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20

Answer:

7/20

Step-by-step explanation:

10(blue) + 4(black) + 5(white) + 6(red) = 25(total)

25(total)-10(blue)=15(not blue)

not blue/all = 15/25 = 3/5 = probability that first marble removed are not blue

If we remove 1 marble;

25-1 = 24 (total) , 15-1=14(not blue)

second not blue/all = 14/24 = 7/12 = probability that second marble removed are not blue

probability that both marbles removed are not blue : 3/5. 7/12 = 21/60

21/60 = 7/20

Hope this helps ^-^

What is the range of the function represented by the table?

Answers

Answer:

The second option

Step-by-step explanation:

the range is all the y vaules

how do you graph y= 6/5x + 1?​

Answers

Answer:

Start at postive 1 on the y axis put a dot there. From the dot go down 6 and go left 5.

Step-by-step explanation:

6/5=rise over run

1=y-axis

y=mx+b

m=slope

b=y-intersept

Step-by-step explanation:

Hey, there!!

To graph a equation, we must find the coordinates of x and y.

So, as the equation is,

[tex]y = \frac{6}{5} x + 1[/tex]

Here, the equation is for finding the coordinates of y and x should be supposed. Remember, always suppose the value in equal interval.

Now,

x = 0 1 2 3

y= 1 2.2 3.4 4.6

Here, if you are confused how do i get 1, 2.2,3.4,4.6 as y value, put the value of x such as,

[tex]y = \frac{6}{5} \times 0 + 1[/tex]

which is equal to 1.

so,in this we got values.

Now,

List coordinates,

(0,1),(1,2.2),(2,3.4),(3,4.6)

Then plot on graph!!!

Hope it helps.....

PLEASE HURRY WILL MARK BRAINLIST
what is the valuse of (-14^0)^-2?

-1/196
1/196
0
1​

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1 and 1 to the power of anything is 1.  In this case it is negative:

(-14^0)^-2

-1^-2

1

In the function f(x) = 4x -2, which of the following is the name of the function?

Answers

Answer:

The answer is "Linear function".

Step-by-step explanation:

Linear features would be those that have a linear graph. Its following location identified to a linear function, that is [tex]\bold{f(x) = a+bx}[/tex].

This function had a variable one of reliant to its variable, which is "x", and it's distinct and the response variable is reliant.

please find the attachment of the graph.

TRUE OR FALSE QUESTIONS PLZ HELPPPP ME I BEG YOU:(((((((((((( pleaseee A story that is biased is slanted towards a particular point of view. True False The First Amendment protects freedom of speech. True False The federal government can influence state laws by withholding funding from states until they pass certain laws; for example, until they raise the legal drinking age to 21. True False When public opinion is led by public policy, the decisions or actions of political leaders influence the way people feel about certain situations. True False Republicans tend to favor more control by the federal government, while Democrats generally support more control by the people and states. True False People are more likely to vote in a close election. True False In a mayor-council system, a mayor serves as a city’s chief executive, while a city manager serves as the legislature. True False Local governments receive very little funding from state and local grants. True False

Answers

Answer:

True! i read the whole thing just for you, better thank me 5star review and brainliest

Step-by-step explanation:


May you please with this questions

Answers

Answer:

m∠AED = 130°

Step-by-step explanation:

Definition of Supplementary Angles: 2 angles adjacent to each other that add up to 180°

Step 1: Define variables

m∠AEC = 50°

m∠AED = x (unknown)

Step 2: Set up equation

50 + x = 180

Step 3: Solve for x (subtract 50 on both sides)

x = 130°

Step 4: Replace variable x

m∠AED = 130°

Answer:130°

Step-by-step explanation: 50° is on a straight line. Therefore 180-50=130

13. In a cricket match, a batswoman hits a boundary 6times
out of 30 bells she plays. Find the probability that she plays .find the probability that she did not hit a boundary.​

Answers

Answer:

4/5

Step-by-step explanation:

6/30 times she did

aka 1/5

5/5-1/5

=4/5 :)

Select the correct answer Which is the correct simplified form of the expression (4m-2n^8)^1/2 ———— 9m^-6 n^-8

Answers

Answer:

[tex]= \frac{2m^2n^8}{3}[/tex]

Step-by-step explanation:

Given expression is

[tex](\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}[/tex]

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift [tex]m^{-6}[/tex] to the numerator and we will use the negative exponent rule, that is

[tex]= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}[/tex]

now we will shift the [tex]n^{-8}[/tex] to the numerator and we will use the negative exponent rule, that is

[tex]= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}[/tex]

here we will solve the above equation which is shown below

[tex]= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}[/tex]

So,

[tex]= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}[/tex]

Which gives result

[tex]= \frac{2m^2n^8}{3}[/tex]

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