Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. (5 points)

Answer:A) write the piecewise function for this company’s sales model

B) how much would an order of 17

Cookies cost        20$

C) how much would a order of 25 cookies cost 22.5

D) what does the equation f(100)=60 mean in this context

Step-by-step explanation: I am sorry but I only know the answers to b and c I hope that I help for those parts. :(

Answer:

thanks for the points

Step-by-step explanation:

thanks once again

Answer:

Yes, is there more to the question?

Step-by-step explanation:

50.76922

after 50.8 seconds because

50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles

The quadratic equation x² - 10x + 9 = 0. = 0 by completing the square, which of the following equations is a step in the process

(x – 10)2 = 34

(x – 10)2 = 16

(x – 5)2 = 34

(x – 5)2 = 16

Given that

To find

So, according to the question

We have

We have to solve that quadratic equation by completing square method.

So, we know that

In Completing square method, we have to convert this quadratic equation in square form.

So,

                  x² - 10x + 9 = 0.

Now, by multiplying both sides by the square of the x-coefficient, we get

                  x² - 10x + 9 + (-10/2)² = 0 + (-10/2)²

                       x² - 10x + 9 + (-5)² = 0 + (-5)²

Now, simplify it

                       x² - 10x + 9 + (-5)² = 0 + (-5)²

                          x² - 10x + 9 + 5² = 0 + 5²

                          x² - 2×5×x + 5² + 9 = 0 + 5²

∵ (a - b)² = a² - 2ab + b²

∴ (x - 5)² = x² - 10x + 5²

                                   (x - 5)² + 9 = 25   [since (x² - 10x + 5² = (x - 5)²]

                                        (x - 5)²  = 25 - 9

                                         (x - 5)² = 16

Answer:

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Answer:

C ≈ 31.42 in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 5 = 10π ≈ 31.42 in ( to 2 dec. places )

The equation of the absolute value function is y = -|x - 3| + 6

The given parameters are

Vertex = (3, 6)

Crosses the x-axis at (-3,0) and (9,0)

An absolute value equation is represented as

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

y = a|x - 3| + 6

At (-3, 0), we have

0 = a|-3 - 3| + 6

This gives

0 = a|-6| + 6

So, we have

0 = 6a + 6

Solve for a

a = -1

Substitute a = -1 in y = a|x - 3| + 6

y = -|x - 3| + 6

Hence, the equation of the absolute value function is y = -|x - 3| + 6

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The number of wins is 68 ad losses is 26.

Let the number of losses = l

Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16

Total games = 94

Therefore we will add the equation

l + 16 + 2l = 94

3l + 16 = 94

3l = 94 - 16

3l = 78

Divide

l = 78/3

l = 26

Losses = 26

Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68

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Answer:

-10 + 5v

Step-by-step explanation:

5(6 + 5v) + 5(-8 - 4v)

We distribute first

30 + 25v -40 - 20v

Then we can combine like terms: 30 plus (-40) is -10.  25v plus (-20v) = 5v.

-10 +5v

Using linear equations, A rental car company charges prices based on the number of days you rent the car will charge  $185 if you rent the car for 7 days.

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Let us consider the number of days = x

The equation when number of days(x) <= 4,

⇒ $50 + $25x1 = y1

If the car is rented for more than 4 days, (x>4)

⇒ $45 + $20x2 = y2

Now, we are to calculate the rent for 7 days,

which equals,

y2 = $45 + $20x2

for x2 = 7,

y2 = $45 + $20 × 7

⇒ 45 + 140

⇒ $185

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Here is how the function g is defined.

g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.

Given that,

Here is how the function g is defined.

g(x)=2x²-7

The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.

We have to find the function of h(x).

Translation of the quadratic function.

A quadratic function is presented in the form where in its standard form.

f(x)=a(x-h)²+k

Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.

h(x)=g(x)+k

Where g(x)=2x²-7 and k=3

h(x)=g(x)+3

h(x)=2x²-7+3

h(x)=2x²-4

Therefore, the function of h(x)=2x²-4.

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For the given function, we have that:

The domain of a function is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, the function is defined between x = -4 and x = 4, hence the domain is [-4,4].

The zeros are the values of x for which f(x) = 0, that is, when it crosses the x-axis.

Hence, for this problem, the zero is at (0,0).

The function is positive when it is above the x-axis, and negative when it is below, hence:

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The total volume of fluid that the patient takes in is:

V = 1284.13 mL

We need to add the total volume of liquid that the patient consumes.

First, we need to rewrite both volumes in mL, remember that:

1 pint = 568.26 mL

Then for the 1/2-pint of apple juice:

1/2 pint = (1/2)*568.26 mL = 284.13 mL

And:

1L = 1000L

For the liter we have:

1 L = 1000ml

Then the total volume of fluid that the patient takes in is:

V = 284.13 mL + 1000ml = 1284.13 mL

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The difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper

What is the difference of depths between them, and which trench is deeper?

The given parameters are:

Mariana Trench = 11 km

Japan Trench = 9 km

The Mariana Trench is deeper because 11 is greater than 9

The difference between the depth is

Difference = 11 km - 9 km

Difference = 2 km

Hence, the difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper

Expression to represent the number of tiles that must be added = 4(n + 2) - 4

Each time a new square floor design is created, there are 8 more new tiles added. To make Designs 2 and 3, respectively, 8 and 16 more tiles were placed on Design 1 and Design 2, respectively.

Possible expressions are:

4n + 4

2(n + 2) + 2n

(n + 2)² - n²

n + n + n + n + 4

4(n + 2) - 4

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Answer:

3pi

Step-by-step explanation:

all of the other ones are out of range

Answer: f(g(-11)) = out  -23

Step-by-step explanation:

The value of the composite function (fog)(-11) is 3√14 - 41.

When the output of one function is given to the input of another function they are called composite functions.

In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, Are two functions f(c) = 3c - 8 and g(c) = √14 - c.

Now, We know that (fog)(c) is the output of g(c) is in the input of f(c).

So, g(-11) = √14 - 11.

Therefore,

(fog)(-11) = 3(√14 - 11) - 8.

(fog)(-11) = 3√14 - 33 - 8.

(fog)(-11)  = 3√14 - 41.

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Answer:

8+2g=11

1. subtract 8 from both sides

2g=3

2. Divide both sides by 2

ANSWER: g=1.5

Answer:

t = -24

Step-by-step explanation:

[tex]\frac{4t}{4}=4\left(-6\right)\\t=-24[/tex]

Answer: -80

Step-by-step explanation:

j = -4 and k = -1

j² 5k=

5kj²=

5(-1)(-4)²=

-5(16)=-80

A)- The distribution is skewed left.

B)- The histogram has one​ mode, at 74 to 76 years.

The distribution of numerical data is roughly shown by a histogram. Karl Pearson is credited with coining the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as a series of discrete intervals that don't overlap. Histograms provide a general idea of the density of the underlying distribution of the data, and are frequently used for density estimation: estimating the probability density function of the underlying variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.

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Answer: 22.1

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

2. (-2, -3)...............

The new depth of the orange juice is now 4cm

From the question, we are to calculate the depth of the orange juice after Jane turns the carton

First, we will determine the volume of orange juice in the carton.

The volume of orange juice in the carton = 10 cm × 6 cm × 8cm

Volume of orange juice in the carton = 480 cm³

Now, we will determine the depth of the orange juice when the carton stands on the shaded face

If carton stands on the shaded face,

The length becomes 20 cm

and

The width becomes 6 cm

Let the new depth of the orange juice be h

Then,

We can write that

480 = 20 × 6 × h

480 = 120 × h

h = 480/120

h = 4 cm

Hence, the new depth of the orange juice is now 4cm

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Answer:

x =20°

Step-by-step explanation:

since both sides are equal

3x° = (5x-40°)

3x = 5x - 40°

CLT( collect like terms)

40°= 5x - 3x

40° = 2x

40°/2= 2x/2

20° = x

therefore x =20°

Examples of Algebra Word problems and their expressions are;

1) What is 9 increased by a number cubed?

9 + x³

2) What is the product of the sum of a number and five and the difference of a number and 5? (x + 5) * (x - 5)

Algebraic word problems are defined as questions that require translation of sentences into equations, and after that, we now solve those equations. They usually contain a single variable that depicts an unknown quantity in a real-life scenario.

Examples of Algebra Word problems and their expressions are;

1) What is 9 increased by a number cubed?

9 + x³

2) What is the product of the sum of a number and five and the difference of a number and 5? This is expressed as;

(x + 5) * (x - 5)

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Answer:

4 over 6 = 20 over 30

Step-by-step explanation:

it's the same poster but enlarged to be bigger proportionally. So to get 20 from 4 and 30 from 6 you have you multiply by 5. it's a 5 times bigger poster

Answer:

2.395

Step-by-step explanation:

0.57+1.825 the answer is 2.395

Answer:

y = -5/4 x + 4

Step-by-step explanation:

Make sure the -5/4 is beside the x. It should not look like the x is on the bottom of -5/4 alongside of the 4.

Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.

Slope-intercept eq:

y = mx + b

You fill in slope where the m is. And you fill in the y-intercept for the b.

In your problem they gave you the slope: m = -5/4 and the y-intercept: b=4.

Fill the m and b in with the given numbers!

y = -5/4 x + 4