Write a piecewise function that models each telephone billing plan. Then graph the function.

$60 per month buys 450 minutes. Additional time costs $0.35 per minute.

Answers

Answer 1

Answer: if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if  0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Answer 2

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

the calculation is as follows:

Here x will represent the number of minutes.

so if  0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

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Related Questions

What is the volume of the following rectangular prism?


I’m doing this on khan academy and I keep failing the test. Now I’m scared of getting questions wrong

What is the volume of the following rectangular prism?Im doing this on khan academy and I keep failing

Answers

Answer:

8 1/8

Step-by-step explanation:

V = 16 1/4 • 1/2

V = 8 1/8

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

\(V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}\)

The Royals softball team played 75 games and won 60 of them. What percent of the games did they lose?

No work = no credit = REPORT

Thx fa helpin <3

Answers

Answer:

0.2 or 20%

Step-by-step explanation:

60/75=0.8

15/75=0.2

Which inequality represents this statement?
The sum of −3 and a number is at least 5.
A −3 + n < 5
B −3 + n ≥ 5
C −3 + n > 5
D −3 + n ≤ 5

Answers

the answer is B. the inequality will always look like that when “at least” is mentioned.
it’s B. It needs to be at least 5

Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. 432 ÷ 73 ≈ ___ *

Answers

Answer:

5.9..... there are a bunch of numbers after that but you would round it to 6.0

Step-by-step explanation:

It would be 5.9,, I looked ok my calculator

Which pair of points forms a vertical line segment that is 4 units long? A. (–3, 5) and (–7, 5) B. (3, –8) and (3, –4) C. (2, 1) and (2, 3) D. (2, 4) and (–2, 4)

Answers

Answer: (-7,5) and (-3,5) :) there for answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

1. Can someone help me with math

1. Can someone help me with math

Answers

Answer:

I am pretty sure it is 1.

Step-by-step explanation:

I am doing addition and subtraction methods.

The answer Is 1 I know this beCise I did it in 2 grade

somebody solve this plsss

somebody solve this plsss
somebody solve this plsss

Answers

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

pls answer the question ty

pls answer the question ty

Answers

answer C

range (big minus smal) for bb is 15-11=4. vb is 16-11=5 so not a

mode (most often) bb 13,14 vb 11 so not b

mean bb 12.8 vb 11.1

median bb 13 vb is 12

the answer would be c
hope this helps

Regan and her friends shared a Big Dipper sundae at Skylight Ice Cream Shop. The 3 of them split the bill, and each person paid $3.75.
Let b represent the total cost of a Big Dipper sundae. Which equation models the problem?

Answers

Answer: B=$3.75×3

Explanation: we want the full price of the Big Dipper so the equation will equal to B, there were 3 friends that split the bill $3.75 each so if we multiple 3.75 by 3 we will get the total cost of the Big Dipper which is $11.25

The solution is: b=$3.75×3, the equation models the problem, when b represent the total cost of a Big Dipper sundae.

Here, we have,

given that,

Regan and her friends shared a Big Dipper sundae at Skylight Ice Cream Shop.

The 3 of them split the bill, and each person paid $3.75.

Explanation:

we want the full price of the Big Dipper so the equation will equal to b, there were 3 friends that split the bill $3.75 each

so if we multiple 3.75 by 3

we will get the total cost of the Big Dipper which is $11.25

i.e. 3.75 × 3

    = 11.25

So,  b=$3.75×3, the equation models the problem, when b represent the total cost of a Big Dipper sundae.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).

Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.

Answers

The instructions that you would include in your explanation are:

Identify the output.

Create a table for four input values.

Plot the points from the table.

The instructions to be included

In the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.

Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.

Learn more about ordered pairs here:

https://brainly.com/question/1528681

#SPJ1

Answer:1 to 2

             2 to 4

Step-by-step explanation:

I need help with circle question

I need help with circle question

Answers

Just add and you will 100% get your answer it’s that easy
U may need to divide? And than multiply

Aaliyah buys 3 1/2 pounds of lemons and 2 2/5
pounds of strawberries. About how much will
the lemons and strawberries cost?

Answers

Answer: to get the answer you will need more information

Step-by-step explanation:

this problem does not show how much strawberries or lemons cost separately so there is now possible answer

who would buy that many lemons and strawberries that is so silly

Use a number line to order the numbers from least to greatest.

Use a number line to order the numbers from least to greatest.

Answers

Assign the numbers to the number line in the following order:

2.15=2.15

220%=2.2

9/4=2.25

*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:

2.15, 2.2, 2.25

9/4=2.25
if 4/4 is 1 then 9/4 is 2 whole with 1/4 left
220%=2.2 and 2.15 is still 2.15

What is the nth term for 3, 10, 29, 66 and 127?

Answers

Answer:

3, 2, 7, 14, 23.

To find the nth term of a sequence, we need to identify the pattern or rule that generates the sequence.

Looking at the given sequence 3, 10, 29, 66, 127, we can see that each term is obtained by squaring the previous term and subtracting a constant value.

Specifically, we can see that:

10 = 3^2 + 1

29 = 10^2 + 9

66 = 29^2 + 7

127 = 66^2 + 1

So the pattern seems to be that each term is obtained by squaring the previous term and adding a constant value that increases by 2 for each successive term.

To find the nth term, we can use the formula:

nth term = (n-1)^2 + c

where n is the position of the term we want to find, and c is the constant value we add to the square of the previous term.

Using this formula, we can find the nth term as follows:

For the 1st term (n=1), we have 3 as the first term.

For the 2nd term (n=2), we have:

nth term = (n-1)^2 + c

= (2-1)^2 + 1

= 1 + 1

= 2

For the 3rd term (n=3), we have:

nth term = (n-1)^2 + c

= (3-1)^2 + 3

= 4 + 3

= 7

For the 4th term (n=4), we have:

nth term = (n-1)^2 + c

= (4-1)^2 + 5

= 9 + 5

= 14

For the 5th term (n=5), we have:

nth term = (n-1)^2 + c

= (5-1)^2 + 7

= 16 + 7

= 23

Therefore, the nth term for the given sequence is:

3, 2, 7, 14, 23.

hope this helps!

Answer:

Therefore, the 6th term of the sequence is 108.

Step-by-step explanation:

To find the pattern and the nth term for the sequence 3, 10, 29, 66, 127, we can look at the differences between the terms:

7, 19, 37, 61

The second differences are constant, which suggests that the original sequence is a polynomial of degree 2 (a quadratic). To find the formula for this quadratic, we can use the method of finite differences.

The first differences are:

7, 19, 37, 61

The second differences are:

12, 18, 24

The third differences are:

6, 6

Since the third differences are constant, we can assume that the formula for the sequence is of the form an^3 + bn^2 + cn + d, where a, b, c, and d are constants.

Using the first four terms of the sequence, we can set up a system of equations:

a(1)^3 + b(1)^2 + c(1) + d = 3

a(2)^3 + b(2)^2 + c(2) + d = 10

a(3)^3 + b(3)^2 + c(3) + d = 29

a(4)^3 + b(4)^2 + c(4) + d = 66

Solving this system of equations, we get:

a = 1/2

b = 3/2

c = 5/2

d = 1

Therefore, the formula for the nth term of the sequence is:

an^3 + bn^2 + cn + d = (1/2)n^3 + (3/2)n^2 + (5/2)n + 1

So, the nth term for the sequence 3, 10, 29, 66, 127 is:

an^3 + bn^2 + cn + d = (1/2)n^3 + (3/2)n^2 + (5/2)n + 1

To find the 6th term of the sequence, we can substitute n=6 in the formula:

a6 = (1/2)(6)^3 + (3/2)(6)^2 + (5/2)(6) + 1

= 108

Therefore, the 6th term of the sequence is 108.

Question 3 (5 points)
Match the number set or type of number with the correct category.

Column A
1.
Integer:
Integer
2.
{1/2, 1/4, 1/8, 1/16, 1/32}:
{1/2, 1/4, 1/8, 1/16, 1/32}
3.
Repeating decimals (0.454545...):
Repeating decimals (0.454545...)
4.
Non-Repeating decimal (.44454647....):
Non-Repeating decimal (.44454647....)
5.
Whole numbers {0, 1, 2, 3, 4, ....}:
Whole numbers {0, 1, 2, 3, 4, ....}

Column B
a. Rational ratio with a denominator of 1
b. Irrational decimal
c. Rational decimal
d. Rational whole numbers and their opposites
e. Rational (ratios)

Answers

Answer:

Step-by-step explanation:

Question 3 (5 points)

Match the number set or type of number with the correct category.

Column A

1.

Integer:

Integer

2.

{1/2, 1/4, 1/8, 1/16, 1/32}:

{1/2, 1/4, 1/8, 1/16, 1/32}

3.

Repeating decimals (0.454545...):

Repeating decimals (0.454545...)

4.

Non-Repeating decimal (.44454647....):

Non-Repeating decimal (.44454647....)

5.

Whole numbers {0, 1, 2, 3, 4, ....}:

Whole numbers {0, 1, 2, 3, 4, ....}

Column B

a. Rational ratio with a denominator of 1

b. Irrational decimal

c. Rational decimal

d. Rational whole numbers and their opposites

e. Rational (ratios)

Can somebody please teach me how to do this?

Can somebody please teach me how to do this?

Answers

Here is how to do the transformations:

I-J and J-K and K-I mark the points

do the same with: I'-J' and J'-K' and K'-I'

K is (1,1) while the other is K' (5,5) to go from 5-1 is dilution of 5

Answer:

I don't know how you  want me to explain it but I know that answer is 5

:D

Donnie is 7 years old. Donnie's age is 3 years less than half of Ana's age. The relationship between their ages can be modeled by the equation 12x−3=7, where x is Ana's age. How old is Ana?

Answers

x=5/6

but you cant be 5/6 years old

But I thought about it and

I'm not exactly sure how I got this but

20 divided by 2 is 10

10-3=7

so maybe 20 years old?

I think Ana might be 9 ? I’m sorry if I am wrong I don’t even think I did the math correctly

Mrs.Timmons displays a drawing of an object and asks her studentsvto calculate the number of cubic units the object contains. What is Mrs.Timmons asking her students to calculate?

Answers

Answer:

volume

Step-by-step explanation:

cubic units means volume

Answer:multiply the value of each dimension (ength, width, and height

Step-by-step explanation:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

Letter A

Step-by-step explanation:

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Based on the table below, Taxi Cab B had the greater rate of change.
True or False?

Based on the table below, Taxi Cab B had the greater rate of change.True or False?

Answers

Answer:

false

Step-by-step explanation:

this is so because when you calculate the sum of money of each Taxi Cab A rather has the greater rate change

V to the power of 2 = 47

(I'M IN CLASS HELP THERES 6 MINUTES LEFT)

Answers

Answer:

Well even though you dont need it now the answer is v = 42 squared

Step-by-step explanation:

I used g00g1e like a normal person would

V^2 = 47

In order to isolate V, we must square root each side.

V^2√2 = 47√2

V = 6.855654600401044 or 6.9 rounded

Hope this helped!

Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on frozen foods. if she spent 22$ on frozen foods. how much money did she spend on fresh foods?

Answers

Answer:

$44

Step-by-step explanation:

Let the total amount of money be represented by Y

Amount spent on fresh food =

\( \frac{4}{7} \times y\)

Remainder =

\(y - \frac{4}{7}y = \frac{3}{7} y\)

Amount spent on frozen foods = two-thirds of remainder = $22

\( = \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y\)

\(\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77\)

The total amount for grocery shopping is $77

Therefore, Brittany spent $44 on fresh foods

\( = \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44\)

$44 because if $22 is 2/3 than 1/3 is $11 this means that 7/7 is $77 so this means that 4/7 is $44

Q1 Write the number in expanded form for the significant digits ( as fractions)
117.000
20.018
13.265
3.4000
0.8100


Q2 - Write the difference in place value of the underlined digits
ex . 12.352 - 2 in the ones place is 1000x bigger than the 2 in the thousandths place

1568.156 ( both of the 5s are underlined)
03.3000 ( both of the 3s are underlined)
5164.66 ( both of the 6s are underlined
9.09 ( the 9s r underlined)

Answers

To write in expanded form is to simply mean writing each number into its place value.

It’s simple just write in expanded form which is writing into each numbers place value correctly

Last year, Trey opened an investment account with $7400. At the end of the year, the amount in the account had increased by 23.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Increase in amount: what $
Year-end amount: What$

Answers

Increase in amount: $1,739
7400*.235= 1,739
Year-end amount: $9,139
7400+1739=9,139

Answer:

i have no idea

Jim drove 804 miles in 12 hours.
At the same rate, how long would it take him to drive 603 miles?

Answers

Answer:

Step-by-step explanation:

Hi there!

According to the question,

Jim drove 804 miles in 12 hours

For 1 mile it will take him \(\frac{12}{804}\) hours

For 603 miles it will take him  \(\frac{12}{804}\) * 603 hours

Therefore it would take him 9 hours to drive 603 miles.

Hope it helps!

SUBTRACT 99 POINTS FROM MIXED NUMBERS, PLEASE PROVIDE PROOF!

SUBTRACT 99 POINTS FROM MIXED NUMBERS, PLEASE PROVIDE PROOF!

Answers

Answer:

2 5/18

Step-by-step explanation:

7 2/3 - 3 1/6 - 2 2/9 =                    Given    7 12/18 - 3 3/18 - 2 4/18 =              Bring to common denominator of 18(7 - 3 - 2) + (12 - 3 - 4)/18  =           Group integers and fractions2 + 5/18 =                                       Simplify2 5/18                                            Answer
The correct answer is 2 5/18

The first step is to find a common denominator. (I will be using • to represent multiplication) The lowest common denominator that 3, 6, and 9 share is 18.
3 • 6 = 18
6 • 3 = 18
9 • 2 = 18

To rewrite your numbers using 18 as a denominator, you must multiply the numerator and denominator by the same number.
Since 3 • 6 = 18, 7 2/3 will be rewritten as
7 12/18 (since 2 • 6 = 12) we don’t have to worry about the whole number (7), so leave it as it is.

3 1/6 can be rewritten as
3 3/18, since 6 • 3 = 18 and 3 • 6 = 18
Once again we leave the whole number alone

2 2/9 can be rewritten as
2 4/18, since 9 • 2 = 18 and 2 • 2 = 4

Now we simply subtract our whole numbers and our fractions. Let’s first subtract our whole numbers.

7 - 3 - 2 = 2

Now we can subtract our fractions. Remember that when we subtract fractions, the denominator stays the same. In other words, we only subtract the numerator and ignore the denominator.

12/18 - 3/18 - 4/18 = 5/18

Therefore youre solution is

2 5/18

If you have any questions either about this equations or any other problems within this topic just reply under this answer and I’ll do my best to assist you! Hope this helps and good luck!

Help! Help! Help! 8th grade math is terrible
Triangle DEF was reflected over the y-axis and then translated 5 blocks down. After the transformation, what would be the length of F'E'?

A) 2 blocks

B) 3 blocks

C) 4 blocks

D) 5 blocks

Help! Help! Help! 8th grade math is terrible Triangle DEF was reflected over the y-axis and then translated

Answers

A. 2 blocks becaus the y axis correlates down the Edie answering to A

A teacher was interested in the cafeteria food that students preferred in a particular school. She gathered data from a random sample of 200 students in the school and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for her data?

Stem-and-leaf plot
Line plot
Histogram
Box plot

Answers

Answer:

histogram would seeming be the best one please let me know if I got it wrong though

Answer:

Histogram

Step-by-step explanation:

A histogram is a bar graph that shows the frequency DATA values in the INTERVALS.

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? 6.3+b=15.7 12.6+b=15.7 2a+6.3=15.7 2a+12.6=15.7

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This

Answers

Hey There!!

The answer to this is: isosollese triangle has 2 equal sides that are longer than legnth of base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3, wat is legnth of base

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 idneical sides

2(6.3)+b=15.7

12.6+b=15.7

subtract 12.6 from btohs ides

b=3.1

Thus, answer is base=3.1 cm

Hope It Helps!~

Answer:

answer B 12.6 +b =15.7

Step-by-step explanation:

hope this helps got it correct

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