A company sells photo books, and they charge $20 for the book which includes the first ten pages. Each additional page costs $2. Write a function that models the cost of a book.

Answer:

D. y-2=-3(x-2)

Step-by-step explanation:

Answer:

Remember the y-intercept is the y-coordinate of the function for x = 0.

From the graph, the function f(x) is constant, f(x) = 2, so the y-intercept of f(x) is 2.

From the table:

x              g(x)

2               4

4               6

6               8

You do not know the value of the function g(x) for x = 0. Only if you were told that g(x) is a line or you had some other information you might infere the y-intercept of g(x).

For example if g(x) is a straight line you can conclude that g(0) = 2, and that meant that the y-intercepts of f(x) and g(x) are equal

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

4+5*(3^2-9)/3^2=4+5*0/9=4

The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

In this question,

A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.

According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.

The z-score can be calculated as

z-score = \(\frac{x-\mu}{\sigma}\)

On substituting the above options of μ and σ with the score of x = 75,

a) μ = 70 and σ = 5,

z-score = \(\frac{75-70}{5}\)

⇒ \(\frac{5}{5}\) = 1

b) μ = 70 and σ = 10,

z-score = \(\frac{75-70}{10}\)

⇒ \(\frac{5}{10}\) = 0.5

c) μ = 60 and σ = 5,

z-score = \(\frac{75-60}{5}\)

⇒ \(\frac{15}{5}\) = 3

d) μ = 60 and σ = 10

z-score = \(\frac{75-60}{10}\)

⇒ \(\frac{15}{10}\) = 1.5

Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

The complete question is as follows,

If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?

The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.

Learn more about z-score here

https://brainly.com/question/13151359

#SPJ4

Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

Answer:

6x-6y = 30

Step-by-step explanation:

Given the value of x-y we want to get the value of 6x-6y

mathematically;

6x-6y = 6(x-y)

But (x-y) = 5

Thus, 6x-6y = 6(5)

6x-6y = 30

Answer:

40:60:80

Step-by-step explanation:

1. add the ratio first 2+3+4 =9, then divide the amount by the total number of parts

2. multiply the quotient by each part (20×2, 20×3 and 20×4)

Answer:

I think the answer should be option one.

Step-by-step explanation:

I'm not sure

Answer:

{x | x = –6, –1, 0, 3}  

Step-by-step explanation:

We know nothing of the function other than it has solutions for inputs (x) of -6, -1, 0, 3.  We don't know if any other inputs have a valid output.  The only x values, the domain, for which we have information are {x | x = –6, –1, 0, 3} .

Answer:

Option A

Step-by-step explanation:

Given equation is:

\(x^2+1=2x-3\)

Setting it up as a quadratic equation.

\(x^2+1-2x+3=0\\\\x^2-2x+4=0\)

Comparing it with quadratic equation \(ax^2+bx+c=0\), we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

\(\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}\)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

Answer:

Answer 3 (1.89m - 3)

Step-by-step explanation:

Since we know that the price per song is $1.89, that is going to be the part of the equation that goes with the variable.

Since she has a 3 dollar credit, this will reduce the cost of whatever amount of songs she is buying by 3 dollars, which means the second part of the equation is -3. You have your answer, 1.89m - 3.

Answer:

81 9/10

Step-by-step explanation:

The proper formula states that a sphere with a radius of \(15\) has a volume of 4/3π(\(15^{3}\)).

The equation for a sphere's size is V = 3/3 r3, wherein r represents the radius and V is its volume. 1⁄2 of an object's circumference makes up its radius. Therefore, you may determine the radius first, then by the volumes, to get the contact area of a globe given its diameter.

Both a circle as well as a sphere are round, if you compare them. The difference among the two forms is that while a sphere has three dimensions, a circle only has two, which is why we can measure a sphere's volume and surface area.

The formula for the volume of a sphere is V = 4/3π\(r^{3}\), where r is the radius of the sphere.

Substituting \(r=15\), we get

V = 4/3π(\(15^{3}\))

Therefore, the expression 4/3π(\(15^{3}\)) gives the volume of a sphere with radius \(15\).

To know more about  volume of a sphere visit:

https://brainly.com/question/9994313

#SPJ9

Distribution agreements involve both parties mutually contributing to the distribution efforts.

A joint venture is another way of referring to a non-equity mode of entry with an alliance partner. An acquisition is another way of referring to an equity mode of entry, including, but not limited to, an acquisition. A license grants the right or permission to use the property, including intellectual property, of another. A distribution agreement is an agreement between at least two parties to join their efforts in an attempt to sell a product or service. The two main types of distribution agreements are sponsored and collaborative. In a sponsored distribution agreement, one party sponsors the other party's product or service, while in a collaborative distribution agreement, both parties work together to sell the product or service.

To know more about Distribution here

https://brainly.com/question/29664850

#SPJ4

The probability that a randomly selected box of cold medicine will cost more than $15 is approximately 0.8413.

To find the probability, we need to calculate the area under the normal distribution curve to the right of $15. We can use the z-score formula to standardize the value of $15 and then look up the corresponding area in the standard normal distribution table or use statistical software.

First, we calculate the z-score:

z = (x - μ) / σ

where x is the value ($15), μ is the mean ($17), and σ is the standard deviation ($4.5).

z = (15 - 17) / 4.5 = -0.4444

Using the standard normal distribution table or a calculator, we find that the area to the left of z = -0.4444 is approximately 0.3581. Since we want the area to the right of $15, we subtract this value from 1 to get the probability of the box costing more than $15:

P(X > $15) = 1 - 0.3581 = 0.6419

Therefore, the probability that a randomly selected box of cold medicine will cost more than $15 is approximately 0.6419 or 64.19%.

Learn more about standard normal distribution here;

https://brainly.com/question/15103234

#SPJ11

Answer:

x = 3 , − 8

Step-by-step explanation:

Answer: The range of this quadratic function is f(x) is greater than or equal to - 121/4

Step-by-step explanation: I hope it helps :)

Answer:

b = P - a - c

Step-by-step explanation:

Step 1: Write equation

P = a + b + c

Step 2: Solve for b

Answer:

615

Step-by-step explanation:

ffcjehhrrhfg

jdjdhfhfhchfhfhhfhdhfggc DC DC FB b NH bang BB bg

The kinetic energy change of the block is 4.05 J

Kinetic energy is energy due to motion of an object

Since two forces, of magnitudes F1 = 95.0 N and F2 = 50.0 N, act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure.

If Initially, the center of the block is at position xi = -3.00 cm. At some later time, the block has moved to the right, and its center is at a new position, xf = 6.00 cm.

To determine the change Kf−Ki in the kinetic energy of the block as it moves from xi = -3.00 cm to xf = 6.00 cm, we use the work-kinetic energy principle.

So, Fd = ΔK where

Given that

So, substituting the values of the variables into the equation, we have that

ΔK = Fd

= ( F₂ + F₁)(x₂ - x₁)

.= [95.0 N + (-50.0 N)](0.06 m - (-0.03 m)

=  [95.0 N - 50.0 N)](0.06 m + 0.03 m)

= 45.0 N × 0.09 m

= 4.05 Nm

= 4.05 J

So, the kinetic energy change is 4.05 J

Learn more about kinetic energy change here:

https://brainly.com/question/29475646

#SPJ1

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

To solve this problem, let's write down the data given;

Data;

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

\(12 + 8 = 20\)

Let's proceed for the first event

\(P = \frac{8}{20}= \frac{2}{5}\)

The probability the second event occurs will be

\(P = \frac{7}{20}\)

The probability both events occur will be

\(P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%\)

The probability that both events occurs is 14%

Learn more on Probability without replacement here;

https://brainly.com/question/11405286

#SPJ1

The size of the surplus in the market at a price of P=38 is 67 determines the size of the surplus.

In order to determine the size of the surplus, we need to find the quantity demanded and the quantity supplied at the given price. According to the demand equation, when P=38, the quantity demanded (Q) is calculated as Q = 143 - 2P = 143 - 2(38) = 143 - 76 = 67. Similarly, using the supply equation, the quantity supplied (Q) is calculated as Q = 5 + 4P = 5 + 4(38) = 5 + 152 = 157.

Since the quantity supplied (157) exceeds the quantity demanded (67) at the price P=38, there is an excess supply or surplus in the market. The surplus is the difference between the quantity supplied and the quantity demanded, which is 157 - 67 = 90. Therefore, the size of the surplus at a price of P=38 is 90 units.

Learn more about size here:

https://brainly.com/question/27393915

#SPJ11

Step-by-step explanation:

Es un problema de sistema de ecuaciones lineales. Podemos representar la cantidad de galletas vendidas de cada tipo como variables x e y, donde x es el número de galletas vendidas a 1,40€ y y es el número de galletas vendidas a 1,60€. Entonces, podemos escribir dos ecuaciones:

x + y = 30 (el número total de galletas vendidas es 30)

1.4x + 1.6y = 44 (el dinero total ganado es 44€)

Resolvamos el sistema usando el método de sustitución:

x + y = 30

x = 30 - y

1.4(30 - y) + 1.6y = 44

42 - 1.4y + 1.6y = 44

42 = 44

No es posible, ya que los dos lados de la última ecuación no son iguales. Esto significa que no hay una solución posible para el número de galletas vendidas de cada tipo. Es decir, no es posible determinar cuántas galletas se vendieron a 1,40€ y cuántas se vendieron a 1,60€ con la información proporcionada.

Answer:

∠ Q ≈ 53.1°

Step-by-step explanation:

cos Q = \(\frac{adjacent}{hypotenuse}\) = \(\frac{QS}{QR}\) = \(\frac{6}{10}\) , then

∠ Q = \(cos^{-1}\) (\(\frac{6}{10}\) ) ≈ 53.1° ( to the nearest tenth )

Answer:

29.40-19.80=9.6

9.6/6=1.6

So the answer is $1.60

Step-by-step explanation:

Answer:

8-(7/10)t=6-(1/5)t - Get Easy Solution

Simple and best practice solution for 8-(7/10)t= 6-(1/5)t equation. Check how easy it is, and learn it for the future. Our solution is simple,

Step-by-step explanation:

make me as brain liest

Answer:

r=1.37

Step-by-step explanation:

so first we have to change 32/2 to a decimal

to do that you have to divide 32÷3=10.66...7

the formula to find the radius when given the volume is r=(\(\frac {v}{4*pi}\))^1/3

r=(\(\frac {10.6666666667}{4*pi}\))^1/3

r= 1.37

then to check your work-

v=4/3π1.37^3

v=10.77

technically 10.77 and 10.6666666667 aren't equal but that's as close as it'll get

good luck :)

i hope this helps

have a nice day !!

The magnitude of vector A of the following components AX and AY is 88.95m

In this question we will apply the pythagoras theorem which will be depicted as

\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)

where , R = resultant magnitude of vector

            AX and AY are the components of vector

As per the question

AX = 83m

AY = 32m

Putting the values in the equation (1) we get

                               \(R= \sqrt{83^{2} +32^{2} }\)

                               \(R =\sqrt{6889+1024}\)

                               \(R=\sqrt{7913}\\\)

                               R  =  88.95m

Thus the magnitude of vector A for the following components is 88.95m

To learn more about vectors

https://brainly.com/question/30817683

https://brainly.com/question/25705666

Answer:

x= 21

Step-by-step explanation:

\( \frac{63}{x} = 3 \\ 3x = 63 \\ \\ x = \frac{63}{3} = 21\)

I hope I helped you^_^

Answer:

21

Step-by-step explanation:

63 times 21 will equal 3

63 divided 3 will equal 21

oops sorry I didn't simplify

Answer:

B

Step-by-step explanation:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:f(x)= 9280 - 20x \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: \cfrac{1}{16} x + \cfrac{1}{320} y - 29 = 0\)

\(\qquad \tt \rightarrow \: \cfrac{1}{16} x + \cfrac{1}{320} y = 29\)

\(\qquad \tt \rightarrow \: \cfrac{20 x+ y}{320} = 29\)

\(\qquad \tt \rightarrow \: 20x + y = 29 \sdot320\)

\(\qquad \tt \rightarrow \: y = 9280 - 20x\)

\(\qquad \tt \rightarrow \: f(x) = 9280 - 20x\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

Learn more about credit periods here:

brainly.com/question/2264363

#SPJ11