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3 years ago

8

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.

1 answer:

STatiana [176]3 years ago

4 0

Answer:

Cost = 2x + 180

Step-by-step explanation:

Let the number of pages of a book be x

Cost of the first ten pages = $20 × 10

= $200

The number of remaining pages is; x - 10

Cost of the remaining pages = $2 × (x-10)

= $(2x-20)

Total cost of the book= 200 + 2x - 20

= 2x + 180

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ra1l [238]

<h2>Explanation:</h2>

Let's use a trial and improvement method to find this solution.

Step 1. Let's choose x = 8.5

Substituting into the equation:

$(8.5)^2+ 3(8.5) - 94=0? \\ \\ 72.25+25.5-94=0? \\ \\ 3.75\neq 0$

Step 2. Let's choose x = 8.4

Substituting into the equation:

$(8.4)^2+ 3(8.4) - 94=0? \\ \\ 70.56+25.2-94=0? \\ \\ 1.76\neq 0$

Step 3. Let's choose x = 8.3

Substituting into the equation:

$(8.3)^2+ 3(8.3) - 94=0? \\ \\ 68.89+24.9-94=0? \\ \\ -0.21\neq 0$

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

$x=8.3$

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3 years ago

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Dmitry_Shevchenko [17]

Answer:

1178.1

Step-by-step explanation:

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3 years ago

Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

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$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

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Substitute in the given differential equation

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Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

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Substitute the values in the differential equation

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Hence, $x^3$ is a solution of given differential equation.

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