The revenue from the sale of specialty golf hats is given by the function R(x) = 31x, where x is the number of hats sold.

a. What is R(200)? Interpret this result

b. What is the revenue from the sale of 3000 hats? Write this in functional notation.

a. R(200) =

Answer:

First problem:

Limiting the Domain to [tex]x\leq 0[/tex]   (option A in the list)

Second problem:

All the three statements are true, so pick option D)

Step-by-step explanation:

Recall that a function in order to have inverse needs to be a one-to-one function. In the case of the function they give you in the problem:

[tex]f(x)= 3x^2+1[/tex]

the graph corresponds to a parabola with vertex at x=0 and y=1 (0, 1), and since it has two branches that correspond to equal y-values for opposite pairs of x values, it doesn't satisfy the conditions for the existence of inverse. But if we limit the Domain of it considering just one half of the graph (for example limiting the Domain to the values to one side of the parabola's vertex, then this restricted function is one-to-one and we can find its inverse.

So the option of limiting the Domain to x-values smaller than or equal to zero, suggested in option A of the list of answers will do the job we need.

In the following problem, the three first statements are true for an inverse function, so pick option D that says that all previous statements are true.

Answer:

B. X =-12

Step-by-step explanation:

- 10x + 1 + 7x = 37

-10x + 7x = 37 - 1

-3x = 36

x = 36/-3

x = - 12

Answer:

One real rational root

Step-by-step explanation:

x^2-4x+4=0

=>x^2-2x-2x+4=0

=>x(x-2)-2(x-2)=0

=>(x-2)(x-2)=0

=>x=2

Therefore one real rational root

Answer:

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This operation is also known as the opposite (number), sign change, and negation.

Steps to solve:

10 + y = 3

~Subtract 10 to both sides

y = -7

Best of Luck!

Answer:

y= -7

Step-by-step explanation:

All you have to do is subtract 10 from both sides. This eliminates the 10 from the y side and leaves you with y= -7.

Answer:  40 peaches

Step-by-step explanation:

Let x represent (1/2) the peaches

and y represent (1/2) the strawberries

          Peaches            Strawberries               Ratio

Alice:     x - 3                        y                           1:4

Bryan:     x                        y - 8                          1:3

We can create a system of equations:

Alice: 4(x - 3) = y      -->   4x - 12 = y

Bryan: 3(x) = y - 8  

Substitute y = 4x - 12 into the Bryan equation:

3x = (4x - 12) - 8

3x = 4x - 20

-x = -20

x = 20

Therefore, Alice and Bryan each had 20 peaches, which means Bryan bought a total of 40 peaches.

Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3

Step-by-step explanation:

The statement that a clock that is set fifteen minutes fast is less precise than an identical clock that keeps correct time is false

When a time is set away from the correct time, the time on the clock would be incorrect.

However, this has nothing to do with the precision of the clock.

This is so because precision deals with closeness of the time measurement to the original time

Since the time is ten minutes fast, it would not be less precise

Hence, the statement is false

Read more about precision at:

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Answer:

1. After multiplying both sides by x you need to subtract 1 from both sides

2. You can assume x ≠ 0 because both sides are undefined if x = 0.

Step-by-step explanation:

Given

[tex]\frac{1}{x} + 3 = \frac{3}{x}[/tex]

Required

Which of the options shows the validity of Beth's action

The first option answers the question and the reason is as follows;

Multiply both sides by x

[tex]x * (\frac{1}{x} + 3) = \frac{3}{x} * x[/tex]

Open the bracket

[tex]1 + 3x = 3[/tex]

As stated in option 1; Subtract 1 from both sides

[tex]1 - 1 + 3x = 3 - 1[/tex]

[tex]3x = 2[/tex]

Divide both sides by 2

[tex]x = \frac{2}{3}[/tex]

Another correct option is the option 2

Because the expression is undefined if x = 0

See Proof by substituting 0 for x

[tex]\frac{1}{0} + 3 = \frac{3}{0}[/tex]

Division by 0 is undefined.

Hence, option 2 is also correct

The other options (3 and 4) are incorrect

Answer:

y = 8

Step-by-step explanation:

[tex]-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8[/tex]

Answer:

Step-by-step explanation:

-6y + 12 + 20y - 32 = 92

14y -20 = 92

14y = 112

y = 8

Answer: 480 items per day, and 14,00 items per mounth.

Step-by-step explanation:

20(24) = 480 items per day

480(30) = 14,400 items per month

Answer:

20x24x30=14,440

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

-35x+85x-24=26

Combine like terms

50x -24 = 26

Add 24 to each side

50x-24+24 =26+24

50x = 50

Divide each side by 50

50x/50 = 50/50

x=1

Answer:

x=1

Step-by-step explanation:

subtract 35 from 85 which would equal 50 and then add x

so 50x-24=26

add 24 to 26 because you want x by itself

which would equal 50

50x=50

divide by 50 on both sides

50/50=1

x=1

Answer:

18

Step-by-step explanation:

you need to get from 9 to 36 in 2 steps by multiplying, so you need to find what gets 9 to 26 in one turn. 9*4=36, and because 4 is square we know you can multiply by 2 twice to get the same effect. 9*2=18. and just to make sure we can check that 18*2=36

Answer:

x=1

Step-by-step explanation:

(x+1)(x+2)(x+3)(x+4)=120

Split 120 in it's factors: 2x3x4x5

=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5

=>x+1=2 (Take any one in order)

=>x=1

Answer:

x=1

Step-by-step explanation:

120=2^3*3*5=2*3*4*5=(x+1)(x+2)(x+3)(x+4)

so x+1=2

    -1      -1

    x=1

Answer: (0,3) & (0,-1)

Step-by-step explanation:

Answer:

a=40. b=140. c= 40

Step-by-step explanation:

b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.

a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.

c is Congruent to a due to the vertical angles postulate

Answer:

Hey there!

[tex]d= \sqrt{(-1-(-3)^2+(-1-1)^2}[/tex]

[tex]d=\sqrt{8}[/tex]

d is approximately 2.8 units.

Let me know if this helps :)

Answer:

x = plus or minus 8

Step-by-step explanation:

x² - 64 = 0

x² = 64

x = [tex]\sqrt{64}[/tex]

x = ± 8

Answer: Solve  :    x2+64 = 0  

Subtract  64  from both sides of the equation :  

                     x2 = -64

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ -64  

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1  

Accordingly,  √ -64  =

                   √ -1• 64   =

                   √ -1 •√  64   =

                   i •  √ 64

Can  √ 64 be simplified ?

Yes!   The prime factorization of  64   is

  2•2•2•2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 64   =  √ 2•2•2•2•2•2   =2•2•2•√ 1   =

               ±  8 • √ 1   =

               ±  8

Answer:

Step-by-step explanation:

[tex]-6+x-3 \\x =2\\\\-6+2-3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-6+2=-4\\\\=-4-3\\\\=-7[/tex]

Answer:

-7

Step-by-step explanation:

So we have the expression:

[tex]-6+x-3[/tex]

And we want to evaluate it when x is 2.

So, substitute in 2 for x:

[tex]=-6+(2)-3[/tex]

Add the first two terms:

[tex]=-4-3[/tex]

Subtract:

[tex]=-7[/tex]

And that's our answer :)

Answer: A.-2 that the best answer hope this help yu

Step-by-step explanation:31 - (5 - 3 • 4)^2 + 2^6 / 4

31 - (5 - 12)^2 + 2^6 / 4

31 - (-7)^2 + 2^6 / 4

31 - 49 + 64 /4

31 - 49 + 16

-2

Answer:

A. -2

Step-by-step explanation:

31 - (5 - 3 • 4)^2 + 2^6 / 4

31 - (5 - 12)^2 + 2^6 / 4

31 - (-7)^2 + 2^6 / 4

31 - 49 + 64 /4

31 - 49 + 16

-2

Answer:

16= 4²

25= 5²

36= 6²

49= 7²

64= 8²

81= 9²

so, third option is correct I.e. 49

hope it will help....

Answer:

54

Step-by-step explanation:

38-11= 27

27×2= 54 so he started with 54 comic books

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

The weight of George is 90 pounds and the weight of George's brother is 150 pounds.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

George weighs 60 pounds less than his older brother.

Together they weigh 240 pounds.

Let George weigh be x and his brother weigh be y.

x + y = 240 ...1

x = y - 60 ...2

Then from equations 1 and 2, we have

2x = 180

 x = 90

Then y will be

y = 90 + 60

y = 150

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

34,466

Step-by-step explanation:

Given:

Number of males born in 2000 = 2,086,814

Percentage of males bearing Jacob of all males born in 2000 = 1.6516%

Required:

Number of Jacobs born in 2000

Solution:

Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.

[tex] = \frac{1.6516}{100}*2,086,814 [/tex]

[tex] = 0.016516*2,086,814 = 34,465.82 [/tex]

Number of Jacobs born in 2000 is approximately 34,466.

Answer:

the answer is 6.

Step-by-step explanation:

I think they want you to skip count down by 4 and there's your anwser.

Hope I helped.

SJ

Answer:1 hour and 10 mins

Step-by-step explanation: on Monday he raps for 10

Tuesday he raps for 1 hour

1 h +10m =1 h and 10 min