A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0 ≤ x ≤ 100 (in dollars per suit), where x is the number of suits sold each week. Then the total revenue from selling 60 suits is $

Answer:y=x^2 translated 3 to the right gives

y=(x-3)^2,   the vertex shifts from (0,0) to (3,0)

translate it 4 up by adding 4

y=(x-3)^2 + 4, this shifts the vertex up to (3,4)

f(x) = (x-3)^2 + 4   or call it

g(x) = (x-3)^2 + 4  if you want to distinguish it from the original f(x) function

Step-by-step explanation:In this question we have been given a function f(x) = |x|

When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|

And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2

Therefore the given graph in option B is the correct option.

Answer:

  y = 1.36x

Step-by-step explanation:

There will be no touchdown throws if no games are played. The y-intercept must be zero. That is, the number of touchdown throws is considered to be proportional to the number of games, with the constant of proportionality being 1.36:

  y = 1.36x

Answer:

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

_____

Additional comment

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.

Answer:

9 weeks

Step-by-step explanation:

So he basically took 14 quizzes in 7 weeks.

14/7 = 2/quizzes per week

18/2 = 9 weeks

I don't know what you mean by unit rates but this is what I got.

Answer:

12.6 = c

Step-by-step explanation:

The Pythagorean therom is a^2 + b^2 = c^2

We already know 2 varibles (12 and 4) so we can just plug them in.

12^2 + 4^2 = c^2

144 + 16 = c^2

160 = c^2

[tex]\sqrt{160}[/tex] = [tex]\sqrt{c^2}[/tex]

12.6 = c

Hope this helps :)

The Total Number of socks is 10 in all, bear in mind that there is no blue socks hence it will not add to the total amount of socks

Note : 1 pais = 2 socks

Given Data

The statement " 6 times as many pairs of blue socks" is equivalent to no socks, since we have no blue socks, hence 6*0 = 0

Let us find the total socks

= 8+0+2

= 10 socks

Learn more about addition here:

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Answer:

multicultural

Step-by-step explanation:

Answer:

A. Multicultural

Step-by-step explanation:

It shows later in the sentence that they ate Thai noodles and Egyptian falafel those come from different cultures so it must be multicultural

Answer:

-4 < x < -1 or x > 1 (the third option)

Step-by-step explanation:

hope this helps

Answer:

a

Step-by-step explanation:

An asteroid is a minor planet of the inner Solar System. Historically, these terms have been applied to any astronomical object orbiting the Sun that did not resolve into a disc in a telescope and was not observed to have characteristics of an active comet such as a tail.

Answer:

The answer should be 15, since each week the number goes up by 15.

I see a pattern here! Let me show you - multiply 15 by the week number (1, 2, 3, 4, ...), and you have y.

For example, 15 x 3 (for week 3) is 45, as shown by the y value.

So all we must do is multiply 15 by 5, and voila! We'll have our answer. Which, by the way, is 75.

I hope this answers your question!

-Toremi

Answer:

powers of 10

Step-by-step explanation:

Simone examined the pattern in the table

[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]

[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]

[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]

[tex] {tan}^{2} (a)[/tex]

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

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Answer:

B. 6 cookies

Step-by-step explanation:

Given :

Number of chocolate chip

The different recital programs that are possible is 80,730 ways

Permutation has to do with arrangement while combination has to do with the selection.

According to the question, a pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, this shows that he can select the 5 pieces in any form.

The number of ways this can be done is given as:
[tex]27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730[/tex]

Hence the different recital programs that are possible is 80,730 ways

Learn more on combination here: https://brainly.com/question/11732255

Step-by-step explanation:

[tex]put \: x \: into \: equation \: 1[/tex]

[tex]2( - 6y + 7) - 9y = 14[/tex]

[tex] - 12y + 14 - 9y = 14[/tex]

[tex] - 21y + 14 = 14[/tex]

[tex] - 21y = 14 - 14[/tex]

[tex] - 21y = 0[/tex]

[tex] \frac{ - 21y}{12} = \frac{0}{21} [/tex]

[tex]y = 0[/tex]

[tex]put \: y = 0 \: into \: equation \: 2[/tex]

[tex]x = 6y + 7[/tex]

[tex]x = 6(0) + 7[/tex]

[tex]x = 0 + 7[/tex]

[tex]x = 7[/tex]

Answer:

y = 0

x = 7

Step-by-step explanation:

2x − 9y = 14     ⇒  ( 1 )

x = − 6y +7      ⇒ ( 2 )

First, let us find the value of y.

For that, replace x with ( - 6y + 7 ).

Let us take equation 1 for that.

2x − 9y = 14

2 ( - 6y + 7 ) - 9y = 14

-12y + 14 - 9y = 14

21y = 14 - 14

21y = 0

Divide both sides by 21.

y = 0

And now let us take equation 2 to find the value of x by replacing y with 0.

2x − 9y = 14    

2x - 9 × 0 = 14

2x - 0 = 14

2x = 14

Divide both sides by 2.

x = 7

Answer:

P=90°

R=45°

Step-by-step explanation:

PQR=180°

180°-45°=135°

R=45°(iscoles triangle)

P=90°

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

[tex]ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457[/tex]

Answer:

B. 46 ft²

Step-by-step explanation:

Two sides are rectangles 3.1 ft by 5 ft.

One side is a rectangle 5 ft by 3 ft.

area = 2(3.1 ft × 5 ft) + (5 ft × 3 ft)

area = 46 ft²

x is equal to 3 ..

Step-by-step explanation:

hope this helps

Step-by-step explanation:

it is 300,000 for a 3 day contract

Answer:

$318

Step-by-step explanation:

6% x 300 = 18

300 + 18 = 318

Answer:

Simple interest: 240, Final amount: 2240

hope im right

Step-by-step explanation:

Answer: 4,000

Step-by-step explanation:

The only logical choice there because of the rate of others

Answer: c is the answer

Step-by-step explanation:

Answer:

8√3

Step-by-step explanation:

Let a, b = the positive numbers, and the sum = s,

(1)---- ab = 192

(2)--- a + b = s

Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,

From (1), b = 192/a

Substitute b = 192/a into (2),

s = a + 192/a

Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:

1) find dy/dx

2) Find x from dy/dx = 0

ds/da = 1 - 192/a²

When ds/da = 0,

1 - 192/a² = 0

a² = 192

a = ±√192

a = 8√3 , -8√3

Since a is positive, a = 8√3

Substitute a into (1),

b = 192/(8√3)

b = 8√3

Therefore, the two positive numbers are 8√3... and 8√3

Answer:

[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]

First, subtract by log₁₀(8) from both sides.

[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]

Solve.

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

11 id.k i think

Step-by-step explanation:

i think that it

Answer:y=4+x

Step-by-step explanation:

You are adding gallons not *,/,-,. So it's y=4+x.

The required equation is y = 4 + x. The correct answer would be an option (A).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Jayne stopped for gas before embarking on a road trip. There were already 4 gallons of gas in the tank.

As per the question, the required equation would be as:

y = 4 + x

This equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x. The total amount of gasoline in the tank, y, is equal to the number of gallons that she put in the tank, x, plus the 4 gallons that were already in the tank.

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