XYZ’s print publication charges $15 for each of the first four lines of an ad, and $9 for each additional line. Express the cost of an x-line ad, c(x), as a piecewise function.

Answers

Answer 1

By using the given information we can infer the domains of the function, and we will see that the piecewise function is:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

How to get the piecewise function?

We know that the print charges $15 for each of the first four lines on an add, and $9 for each additional line.

Then we will have one piece for x between 0 and 4, and another piece for x larger than 4. The function will be:

c(x) = $15*x   if  0 ≤ x ≤ 4

c(x) = $60 + 9*(x - 4)   if x > 4.

Where the y-intercept on the second part is equal to the cost for the first four lines of the add.

If you want to learn more about piecewise functions, you can read:

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Related Questions

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
20, 10, 5,

Answers

Answer:

Common ratio = 1/2.

G. S.

Step-by-step explanation:

10/20 = 1/2 and 5/10 = 1/2 so its Geometric.

What is the first multiple of 191

Answers

Answer:

382

Step-by-step explanation:

To find the first multiple, we can just add 191 to itself.

191 + 191 = 382

Best of Luck!

Step-by-step explanation:

382

..................


Scarlett brought a pack of candies for 25 students. She plans to distribute 4 candies to each of her classmates. If five of them were absent, how many candies did each get?

Answers

Answer:

5 candies

Step-by-step explanation:

25×4=100

100/20=5

Desmond purchased 2 1/5 of mixed nuts.

What is the decimal equivalent of the pounds he purchased

Enter your answer in the box

lb

Answers

Answer:

2.2

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation

The reason for this is because if you turn 1/5 into a 10th then you need to multiply 2/2 x 1/5= 2/10= 0.2. and the 2 goes before the decimal point and you get

2.2

If f = 6 and g = 8, what does h equal?

Answers

Answer:

any number

Step-by-step explanation:

it could be any number

Graph the line that passes through the points (0, -5) and (5, 1) and
determine the equation of the line.
y
10
9
00
7
6
5
4

Answers

Answer:

y = 10/1x - 5

Step-by-step explanation:

y=mx+b

m=slope  b=y-intercept

therefore

y=10/1x -5

(10/1 is a fractions just too lazy to make it a fraction on here)

Solve for x.

3x + 2 = 38

Answers

Answer:

3x=38-2

3x=36

3x÷3=36÷3

x=12

Step-by-step explanation:

You start by grouping the like terms on one side, 2 is a constant number so you will group it with the constant 38. When you swap it to the other side of the equal sign, you change its sign. After you will divide both sides of the equation by the coefficient of x which is 3,in order to get the value of x.

44:96.
It is estimated that 7 out
of 10 people invited to a
wedding will attend. If Mark
and Katie invite 120 people,
how many can they expect to
not attend?

Answers

Answer:

They can expect that 36 people will not attend.

Step-by-step explanation:

We are trying to figure out how many people didn't attend, so that would be 10 invites - 7 attendees = 3 bailers, so 3/10 people won't attend.

Now, you need to multiply that ratio to become 120 people:

3/10 --> x/120

In order to change that fraction, you must figure out what 120/10 is:

120/10 = 12

This means that the denominator was multiplied by 12, so the numerator must also be multiplied by 12 to get x:

3/10 --> (3*12)/120

--> 36/120

36 out of 120 people can be expected not to attend.

Which set of angles are alternate interior angles?
A) 1 and 7
B) 1 and 4
C) 2 and 4
D) 3 and 6

Answers

3 and 6 would be alternate interior angles.

In-line skaters A study of injuries to in-line skaters used data from the National Electronic Injury Surveillance System, which collects data from a random sample of hospital emergency rooms. The researchers interviewed 161 people who came to emergency rooms with injuries from in-line skating. Wrist injuries (mostly fractures) were the most common.

The interviews found that 53 people were wearing wrist guards and 6 of these had wrist injuries. Of the 108 who did not wear wrist guards, 45 had wrist injuries. Why should we not use the large-sample confidence interval for these data?

a. Because 161 people are not enough for using the large-sample confidence interval.
b. Because the difference in sizes of the two groups is too large.
c. Because there are only 6 skaters in one group having wrist injuries.
d. Because the sample error is two large.

Answers

Using the Central Limit Theorem, it is found the correct option regarding why the large-sample confidence interval for these data.

c. Because there are only 6 skaters in one group having wrist injuries.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], that is, as long as there are at least 10 successes and at least 10 failures in the sample.

In this problem, for the sample of people wearing wrist guards, only 6 had injuries, hence the large-sample confidence interval should not be used and option C is correct.

To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213

Help mat math Math ASAP

Answers

Answer:

(11, 2 )

Step-by-step explanation:

3y + 2x = 28 → (1)

x = 5y + 1 → (2)

substitute x = 5y + 1 into (1)

3y + 2(5y + 1) = 28 ← distribute parenthesis on left side and simplify

3y + 10y + 2 = 28

13y + 2 = 28 ( subtract 2 from both sides )

13y = 26 ( divide both sides by 13 )

y = 2

substitute y = 2 into (2)

x = 5(2) + 1 = 10 + 1 = 11

solution is (11, 2 )

Solve the system of equations x+y=-9x+y=−9 and -8x-2y=54−8x−2y=54 by combining the equations.

Answers


I should help u the 1st equation
x+y=-9x+y
→x+9x=-2y
→10x=-2y
→x=-2y/10
Ans:x=-y/5
Maybe it's the ans Of Equation No 1....

Square pyramid surface area?

Answers

Answer:

576 cm^2

Step-by-step explanation:

16^2 + 2 x 16 x 10

  256 + 32 x 10

    256 + 320

       = 576

Please solve this don’t say you can’t see it if you see it answer please only if you know the answer

Answers

Answer:

5) 3 units

6) 9 units

7) 15.5

8) 67

What information do banking institutions use to help detect fraudulent
transactions?
A. Local business' sales forecasts
B. National financial trends
C. Internet search engine statistics
D. Historical transaction data

Answers

The information that banking institutions use to help detect fraudulent

transactions is Historical transaction data.

How do banks protect their customer information?

Banks do use some kind of Encryption to protect their customer's information. Through that, a person's transactions and personal information  are protected online via encryption software.

Note that a lot of times, fraudulent activities do occur and as such banks or Financial institutions through the use of data and data analytics of the transaction process will help them better know what occurred.

Learn more about banking  from

https://brainly.com/question/25664180

jerry has 840 cubic inches 6 in height and 10 width, what is the length?

Answers

Answer:

solve

Step-by-step explanation:

do 840 divided by 60

Answer:

14 in

Step-by-step explanation:

cubic means three

take the 2 you do have:

6 and 10

multiply them:

60

divide 840 by 60 to get the third:

14

Need help asap, ty I have no idea how to start this problem

Answers

Answer:

95

Step-by-step explanation:

Because I did the math, and it answered 95.

please help this question​

Answers

Answer:

0

Step-by-step explanation:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

What type of number is 2/3?

Answers

Answer:

rational

Step-by-step explanation:

beacaue its a ration

Answer:

It is a rational number

Help help help ASAP

Answers

Answer:

The answer is C

Step-by-step explanation:

A trend line should attempt to be in the middle of the data points not above them. If it does not do as staed above, it is NOT a correct trend line.

Have an amazing day!

PLEASE RATE!!

what is the amplitude and period of f(t) = sin2t

Answers

The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function

The amplitude of the function is 1The period of the function is [tex]\pi[/tex]

How to determine the amplitude?

The equation of the sine function is given as:

[tex]f(t) = \sin(2t)[/tex]

A sine function is represented as:

[tex]f(t) = A\sin(B(t + C)) + D[/tex]

Where

A represents the amplitude

By comparison;

A = 1

Hence, the amplitude of the function is 1

How to determine the period?

In (a), we have:

[tex]f(t) = A\sin(B(t + C)) + D[/tex]

Where the period is:

[tex]T = \frac {2\pi}B[/tex]

By comparison;

B = 2

So, we have:

[tex]T = \frac {2\pi}2[/tex]

[tex]T = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]

Read more about sine wave functions at:

https://brainly.com/question/23214084

Answer:

A on edge

Step-by-step explanation:

How many terms are in the expression 5d3 + d - 6c + 2?

Answers

Answer:

3

Step-by-step explanation:

Im did this in school but i forgot how so its probably wrong

Answer:
A equação tem 4 termos.
Step-by-step explanation:
Os termos são sempre separados por sinais equacionais, neste caso temos adição e subtração (+ e -), logo "5d3" é o primeiro termo seguido do "d" segundo termo, "6c" terceiro termo e "2" quarto termo.

A loan company charges $80 interest for a three-month loan of $550. Find the annual interest rate (APR) they are charging.

Answers

Answer:

Step-by-step explanation:

using the simple interst formula;

SI = Principal * Rtae * Time/100

Given

Principal = $550

SI = $80

Time = 3 month = 3/12 years

Required

Annual interest rate

Substitute

80 = 550 * R * 3/12*100

80 = 1650R/1200

96000 = 1650R

R = 1650/96000

R = 0.017

Rate = 0.017 * 100 = 1.7%

HELPPPPP
what is the distance, to the nearest unit, between your house and the subway stop?

Answers

Answer:

9

Step-by-step explanation

brainlypatrol keep  deleting my answers

match the figures with thier name =D--------------C​

Answers

We can’t match if we can’t see

If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5​

Answers

Answer:

67

Step-by-step explanation:

d(n) = 4n + 2

= 4(5) + 2

=22

t(d(n)) = 3(22) + 1

= 67

Write an equation of the line passing through each of the following pairs of points.
(5, 7), (−8, −4)

Answers

Answer:

y= 11/13x + 36/13

Step-by-step explanation:

y=mx+b

y2 -y1         -4-7 = -11

x1-x2           -8-5= -13

slope is 11/13

Answer:

y = [tex]\frac{11}{13}[/tex] x + [tex]\frac{36}{13}[/tex]

Step-by-step explanation:

First, find the slope of the line passing through the points

Then find the y-intercept of the line

Then construct the formula

1. find the slope

remember the formula

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] is used to find the slope

now plug in the given points

(5, 7)

(-8, -4)

[tex]x_{1} = 5\\y_{1} = 7\\x_{2} = -8 \\y_{2} = -4[/tex]

[tex]\frac{(-4) - (7)}{(-8) - (5)}[/tex]

simplify and solve

= [tex]\frac{-11}{-13}[/tex]

= [tex]\frac{11}{13}[/tex]

2. find the y-intercept

remember the base formula for a line

y= mx + b

where m is the slope and b is the y-intercept

we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept

y = mx + b

y = [tex]\frac{11}{13}[/tex]x + b

use the first set of given coordinates for a point on this line: (5, 7)

7 = [tex]\frac{11}{13}[/tex]  * 5 + b

solve by inverse operations and simplifying

7 = [tex]\frac{55}{13}[/tex] + b

[tex]\frac{36}{13}[/tex] = b

3. construct the formula

now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:

y = mx + b

where m is the slope and B is the y-intercept

we found that

m = [tex]\frac{11}{13}[/tex]

and

b = [tex]\frac{36}{13}[/tex]

so that means the equation is

y = [tex]\frac{11}{13}[/tex] * x + [tex]\frac{36}{13}[/tex]

What is the scale factor for this dilation? How do you
know?

Answers

Answer:  2

Look at the left-most part of the blue diagram. It is 1 unit high. The corresponding left-most part of the red diagram is 2 units high, which is twice as high as the blue portion it corresponds to.

The scale factor tells us how to enlarge or shrink the object. In this case, the red figure is twice as tall and wide compared to the blue figure.

You can pick any pair of corresponding sides to get the scale factor.

A 7 character computer password is made up of 4 letters followed by 3 numbers. How many different passwords are possible? a. 333,135,504 b. 358,800,000 c. 456,976,000 d. 78,364,164,096 Please select the best answer from the choices provided A B C D

Answers

Answer:

c. 456,976,000

Step-by-step explanation:

Number of Letters = 4

Number of Letters on the Alphabet = 26

Total Numbers used = 3

Total Range of Numbers = (0-9)

Since the first 4 characters are letters, the total number of combinations for each of them would equal to 26.

And for the following 3 numbers, the total number of combinations for each of them would equal to 10.

To find the answer, we multiply all the values:

26*26*26*26*10*10*10 = 456,976,000


mPQ = 113°. What is mZPOQ?
Enter your answer in the box.
113°
I NEEDHELP ASAPPPPP

Answers

A circle has 360 degrees internal, so mPOQ would be 360 - 113= 247 degrees
Good luck!
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