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

Which pair shows equivalent expressions?
3(x+2) = 3x+6
3x + 2x = x2(3+2)
3x+2 - 3(x+2)
-3(2+ )--6-3

Answers

Answer:

the answer is 3(x+2) = 3x=6

Step-by-step explanation:

3(x+2) = 3x+6 = 3 multiplies by x=3x 3 multiplied by 2=6 so it would be 3x+6

3x + 2x = x2(3+2)= 3x+2x= 5x its impossible to do 2x multiplies by 3 cause there is no similar variables there needs to be x in both

3x+2 - 3(x+2)= same as above there's no similar variables

-3(2+ )--6-3= this just doesnt work at all

Answer:

3(x+2) = 3x=6

Step-by-step explanation:

Please help due in 20 minutes!

Answers

Answer:

x =12

Step-by-step explanation:

We use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

x^2 + 5^2 = 13^2

x^2 +25 =169

Subtract 25 from each side

x^2 +25-25=169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12

There are 450 total students at Snowden School. On Tuesdays, 12% of the students stay after school for Comedy Club. How many students stay after school for Comedy Club?​

Answers

Answer:

54 students

Step-by-step explanation:

First, change the percent to a decimal.

12% = 0.12

Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.

450 × 0.12 = 54

54 students stay after school for Comedy Club.

Answer:

3750

Step-by-step explanation:

You have to do is divided 450 from 12% and then you get your answer

Help looks like i forgot to read a ruler

Answers

Answer: 4 1/16

Step-by-step explanation:

4/1//16 i think that

Help please I needed! Find the missing sides please attach your work!

Answers

Answer:

x = 32

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin 30 = 16/ x

Multiply each side by x

x sin 30 = 16/x * x

x sin 30 = 16

Divide each side by sin 30

x = 16/ sin 30

x = 16 / (1/2)

x = 32

Answer:

c, x = 32

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin 30 = 16/ x

Multiply each side by x

x sin 30 = 16/x * x

x sin 30 = 16

Divide each side by sin 30

x = 16/ sin 30

x = 16 / (1/2)

x = 32

please make me the brainliest

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?

A.

XY = 18 mm , YZ = 20 mm , XZ = 37 mm

B.

XY = 18 mm , YZ = 20 mm , XZ = 39 mm

C.

XY = 18 mm , YZ = 19 mm , XZ = 38 mm

D.

XY = 17 mm , YZ = 20 mm , XZ = 38 mm

NEED ANSWER ASAP!!!!!!

Answers

Answer: B and D

Step-by-step explanation:

Sum of 2 sides must be greater than the third side

The spinner shown below is used to play a game.
4
5
3
6
2
7
1
8
What is the probability that the arrow will land on a number greater than 5?
3/5
3/8
5/8
1/3​

Answers

The probability is 3/8

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.

What is Maya’s biking speed?

PLZ HELP IN A BIG RUSH PLZ PLZ PLZ

Answers

Answer:

Maya's biking speed is 8 miles per hour.

Step-by-step explanation:

She can run 18 miles in 3 hours. That means she could run 6 miles in one hour. So, if she can ride her bike 18 miles in 2 hours she can bike 9 miles per hour.

If she bikes for 27 (3 hours) miles and runs 9 miles (1.5 hours) then taking the total of miles dividing it by the time you would get Maya's speed.

HURRY!! WILL MARK BRAINLIEST!!!
whixhxh two points on the number line are opposites? !!HURRY WILL CASHAPP 10 BUCKS. ​

Answers

Points A and D are opposites.

Answer:

points a and d because point a is -1 and 2/3 and point d is 1 and 2/3 so they are opposites

PLZ HELP I NEED THE RIGHT ANSWER ASAP!!!!!!!!

Answers

Answer:

B. 66

Step-by-step explanation:

[tex]\frac{1}{x}(2x + 192)[/tex]       Substitute x = 3

[tex]\frac{1}{3} (2 *3+192)[/tex]    Multiply in the parentheses

[tex]\frac{1}{3}[/tex](6 + 192)          Add

[tex]\frac{1}{3}[/tex](198)                Multiply

66

Which expression should replace the box to finish the expanded form of 387.926?


2 × 1100

20

0.02

20 × 110

Answers

Answer:

0.02

(or 2 x 1/100)

Step-by-step explanation:

Number:

387.926

The number '2' in this number is in the hundredth place.

*Remember, it is a decimal so in expanded form it is multiplied by a fraction*

Therefore, it is written as 2 x 1/100 or 0.02

Answer:

its 2x1/100

Step-by-step explanation:

i got it correct

Sandra found the difference of 12.7 – 4.705. She added the difference to 1.06. What is her final answer?

Answers

Answer:

9.055

Step-by-step explanation:

12.7 - 4.705 = 7.995

7.995 + 1.06 = 9.055

Answer:

9.055

Step-by-step explanation:

12.7 - 4.705 = 7.995

7.995 + 1.06 = 9.055

100 points i will mark brainliest for fist correct answer

Answers

Answer:

Equal, equal, not equal, not equal

Step-by-step explanation:

A) Equal, because they have the same height and base. To find the area of a triangle, you use "(b+h)/2". In this situation, the "b" and the "h" are equal.

B) Equal, as they also have the same height and base. To find the area, you use b*h, and they are equivalent.

C) Not equal. The two lengths given are not equal.

D) Not equal. The two triangle's heights are equal, but their bases are not. If you look at the second triangle, you can see that if is further from the triangles' intersections. This means that the base is larger than the one on the left.

Function A is represented by the equation

y=1/3x+5. Function B is represented by the graph. Which function has a greater rate of change? explain.

Answers

Answer:

They have the same rate of change.

Step-by-step explanation:

Well the graph of Function B is y = 1 / 3x + 2

So they have the same rate of change, since they have the same slope.

The table shows values of f(x) What is f(2)? f(x) = 4, 2, 3, 9, 1 x= 0, 1, 2, 3, 4

Answers

I’m confused ???can you post the table that they provide you with?

there's no way to answer this because you didn't specify the domain and range (x,y)

PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!

Answers

Answer:

The answers 15

Step-by-step explanation:

You just subtract Q1 from Q3

So for the first its: 45 - 30 = 15

and the second one is 50 - 35 = 15

DUE NOW PLZ HELP
6, 9, 3, 7, 8, 7, 5
minimum:
maximum:

Answers

Answer:

minimum is 3 and maximum is 9

Step-by-step explanation:

your min is 3 and ur max is 9

Below are the average incomes for different education levels. How does the outlier affect the mean?mm

Answers

Answer:

It affects the Mean by how many different numbers.

Step-by-step explanation:

Find the medianDetermine all of your answers. and Figure out if the mean and the outlier are similiar.

What is the domain of the function y = Vx+6 - 7?

Answers

Answer: Choice B) [tex]x \ge -6[/tex]

If you were to plug x = -6 into the equation, you'd find the x+6 portion turns to 0. Any smaller x value is not allowed because x+6 would be negative. We cannot take the square root of a negative value to get some real number.

Put another way, solving [tex]x+6 \ge 0[/tex] leads to [tex]x \ge -6[/tex]

In terms of transformations, [tex]y = \sqrt{x}[/tex] becoming [tex]y = \sqrt{x+6}[/tex] means the graph has been shifted 6 units to the left. The original domain [tex]x \ge 0[/tex] becomes [tex]x \ge -6[/tex], as the domain has also shifted the same 6 units.

Visually, the left most point on the graph will directly determine the smallest domain value. The domain is the set of all allowed x inputs.

The -7 at the end does not affect the domain at all. We can replace it with anything you want, and the domain will still be the same. This value affects the range only.

what is the measure of angle 15

Answers

Answer:

A

Step-by-step explanation:

m<15 = m<1 because of how the transversals are placed. so m<1 = 90º - 65º = 25º

that means that m<15=25º

Answer:

<15=25º

Step-by-step explanation:

big brain

Does anyone know the answer? thank you!​

Answers

Answer:

x= c - b / 3a

Step-by-step explanation:

3ax + b = c

3ax = c - b

x= c - b / 3a

Given: m arc AB = 4x, m arc BC = 3x
m arc CD = 2x, m arc DA = 3x
Find: m∠APB

Answers

Answer:

a > m/bp

Step-by-step explanation:

flip the equation

abp > m

divide both sides with bp

abp/bp > m/bp

a > m/bp

Answer:

m<APB = 30 degrees

Step-by-step explanation:

The sum of angles in a circle is 360 degrees. Add up all the arcs to get the equation : 4x+3x+2x+3x=360 degrees.

x is equal to 30 degrees

m arc AB = 4x = 120 degrees

m arc DC = 2x = 60 degrees

By secants exterior angles, m<APB = 1/2(m arc AB - m arc DC) = 1/2(120-60) = 30 degrees.

The answer is m<APB = 30 degrees

70% of Mr. Austin's students like Geometry. 35% like both Algebra and Geometry. What percent of those who like Geometry also like Algebra?

A. 50%


B. 35%


C. 70%


D. 30%

Please help I’ll give branliest answer

Answers

Answer:

Either Impossible question or B

Step-by-step explanation:

2 Ideas...

B because the question states that 35% like both Algebra and Geometry. The question then goes on to ask "What percent of those who like Geometry also like Algebra?" which is stated in the above (35%)

Or...

It is a trick question (although that isn't an option so it is less likely)

Because 75+35 = more than 100

Hope this helps

HELPPP

If x=-1, which quadrant does the point (2x,-x) lie in?

Answers

Answer:

Second

Step-by-step explanation:

x=-1

(2x, -x)

(2*-1, - -1)

(-2 ,1)

(negative, positive) is in the second quadrant

II      |       I

-------|----------------

III      |      IV

I need help please as soon as possible

Answers

Answer:

0

Step-by-step explanation:

1 1/8 + 1/8 is 1 2/8 or 1 1/4

you subtract 1 1/4 minus 5/4 which is 1 1/4

Answer:

0

Step-by-step explanation:

9/8 + 1/8 = 10/8

5/4-5/4 = 0

Which logarithmic equation is equivalent to the exponential equation below?
ea = 35
A. log35 2 = e
B. In 35 = a
c. log235 = 2.5
D.. In a = 35

Answers

Answer:

B

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

[tex]e^{a}[/tex] = 35, then

[tex]log_{e}[/tex] 35 = a, that is

ln35 = a → B

I think id c that what i think(:($(::;(;:::);;);).-)(/-:

Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually. Determine the amount needed in the account for Tami to do this. Round to the nearest cent. a. $115,052.98 b. $103,641.00 c. $91,651.92 d. $93,759.91 Please select the best answer from the choices provided A B C D

Answers

Answer:

Answer:

Option c -$91,651.92

Step-by-step explanation:

Given : Tami would like to withdraw $10,364.10 at the end of each year, for 10 years, from an account paying 2.3% compounded annually.

To find : Determine the amount needed in the account for Tami to do this.    

Solution :

We apply the present value formula to get the amount,

     

Where, PV is the present value ,the required amount

P is the principal P=$10,364.10

r is the rate r=2.3% annually, r=0.023

n is the time n=10 years

Substitute in the formula,

   

   

   

   

     

     

Therefore, The amount needed is $91651.92.

Hence, Option c is correct.

Read more on Brainly.com - https://brainly.com/question/3432251#readmore

Step-by-step explanation:

Answer choices for both of them are
A) linear
B) exponential
C) quadratic

Answers

Answer:

#16 is linear but idk what 17 is

Sara has x dollars and Dina has 15 dollars less than Sara . Together the number

of dollars they have is?

Answers

Answer:

2x-15

Step-by-step explanation:

Sara has x dollars

dina has 15 less which is

x-15

together it will be

x+x-15

=2x-15

What are some good note for Notes for Median and mean

Answers

Answer:

To find the Median arrange the data in order from least to greatest then find the middle number. To find the middle number cross of one from the front and one from the bcak. If there are 2 numbers left in the middle add those numbers together and them divided the sum by 2.

The mean is the average of the numbers. It is easy to find. First,  add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

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