Mathematics High School

7. The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x, where x is
the number of complete video games manufactured. Which set of numbers best defines the domain of c(x)?
(1) integers
(2)positive real numbers
(3) positive rational numbers
(4)whole numbers

Answers

Answer 1

Answer:

(4) whole numbers

Step-by-step explanation:

Given function:

c(x) = 400 + 25xwhere x is the number of complete video games.

The complete video games can be expressed as positive integers or whole numbers, so the domain is whole numbers.

Correct choice is (4)

Answer 2

Answer:

Whole Number

Explanation:

Domain : The set of all the input values (i.e. the value of x ) in the function is called domain

The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

As x defines the number of complete video, since number of video cannot be negative.

1) Integers : integers are the numbers which can be positive, negative or zero, but cannot be a fraction

As, number of videos cannot be negative

so, x cannot be any integers

So, Integers is not the domain

2) Positive real numbers : Real numbers are the numbers which include both rational and irrational numbers.

As the x represent the complete number of video games, thus, x cannot be irrational

Hence, Positive real numbers is not the domain

3) Positive Rational Number : a number is expressed in the form of p/q then it is a rational number

The number of videos are in the complete number, so a fraction cannot be a complete number, thus, rational number cannot be a domain.

4) Whole Number : Whole numbers include natural numbers that begin from 1 onwards

As Numbers of videos are the complete number, and they are always positive, which is the defination of whole number, Domain is whole number

Related Questions

One of the legs of a right triangle measures 3 cm and it's hypotenuse measure 5 cm find the measure of the other leg if necessary round to the nearest tenth

Answers

Answer: c=4

Step-by-step explanation:

c^2+3^2=5^2

c^2+9=25

c^2=16

c=4

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

[tex]H^2=B^2+P^2[/tex]

Here given that,

One of the legs of a right triangle measures [tex]3[/tex] cm and it's hypotenuse measure [tex]5[/tex] cm

Let the base of triangle is [tex]x[/tex].

So,

[tex]H^2=B^2+P^2\\\\(5)^2=x^2+(3)^2\\\\25=x^2+9\\\\25-9=x^2\\\\16=x^2\\\\x=4[/tex]

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

To know more about the triangle

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Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?

Answers

Answer:

$7.07

Step-by-step explanation:

35.35/5=7.07

Can someone help me with this please? its 1 question.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because its the only graph that matches the actual description

please i need HELP x+y=15 , x-y=3
and

Answers

Answer:

x=9

y=6

Step-by-step explanation:

x+y=15 .............(i)

x-y=3...........(ii)

Subtracting equation (ii) from equation (i)

or,  x+y -(x-y)=15-3

or,  x+y-x+y=12

or,  2y=12

or,  y=12/2

∴y=6

Now,

       Putting the value of y on equation (i),

or,  x+6=15

or,  x=15-6

∴x=9

Solve the inequality for x: 1/2(2x + 4) = 3x -6

Answers

The answer for this problem is x=4

PLEASE HELP!! THIS IS REALLY SERIOUS!!

Answers

Answer:

A. y= - 1/2x + 20

B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)

C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline

hope this helps ;)

Evaluate the expression for the value given.
6a
4a; when a = 2

Answers

Answer:

20

Step-by-step explanation:

6(a)+4(a).

6(2)+4(2)=12+8=20

final answer is 20

the answers are
6a= 12
4a= 8

I need help with please and thank you can yall help me with a thing

Answers

Answer:

2 will give you the larger value of 17

Step-by-step explanation:

free feet pic clickbait if u answer w full explimation

Answers

yo yoooo. no need for the free pic

Find the length of a side of a square if its area is:
0.49 square units

Answers

Answer:

Side = 0.7 units

Step-by-step explanation:

Area of a square = 0.49 sq. units

Side² = 0.49

side² = [tex]\frac{49}{100}\\\\[/tex]

[tex]side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7[/tex]

the difference between y and 20

Answers

Answer:

y + 20

Step-by-step explanation:

The other numbers are N

N - y = 20

N = y + 20

    OR

y - N = 20

N = y - 20

what is the scientific notation of 0.0000003​​

Answers

Answer:

This is ur answer.

Hope.it helps!!!

What is (are) the solution(s) to the equation 23x−3=−13x−6?

Answers

From Question ,
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans

Hope this helps !

Please mark it as the brainliest

plz answer this question​

Answers

r=9.776 or 9.78 (second if needing to round)
c=123.307 or 123.31 (second if needing to round)

Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?

Answers

Number 3 would be more like a 4 bedroom apartment

Answer:

maybe $825

Step-by-step explanation:

Im not sure but I think Its accurate

last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.

Answers

Answer:

this was 3 minutes ago... you still need the answer?

Step-by-step explanation:

X^2-16/x^2-3x-4 simply

Answers

Answer:

x+4/x+1

Step-by-step explanation:

hope this can help you :)

Answer:

[tex]\frac{x+4}{x+1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-16}{x^2-3x-4}[/tex] ← factor numerator/ denominator

= [tex]\frac{(x-4)(x+4)}{(x-4)(x+1)}[/tex] ← cancel the factor (x - 4) on numerator/ denominator

= [tex]\frac{x+4}{x+1}[/tex]

x + 2/3 = -4 one step equation

Answers

Answer:

-4.666666667

Step-by-step explanation:

x + 2/3 = -4

x = -4 - 2/3

x = -4.666666667

Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y

Answers

Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

How many square floor tiles of side 1/2m are needed to cover the school hall, excluding the room, shown in the diagram below. Please show ALL working.

Answers

Answer:

Step-by-step explanation:

help pls!!! im not sure on this

Answers

Answer:

10

Step-by-step explanation:

The answer is x=10 because you subtract both 80 and 40 from 180 using the triangle sum theorem with than remaining you should have 60. 60= 6x you divide that answer to get 10

can you help me please​

Answers

Answer:

the first one

Step-by-step explanation:

because you would use Pythagorean theorem to find a missing side

the equation would be a^2+b^2= C^2

and ya

i need help please asap its due

Answers

Answer:

D.) $4 per min.

Step-by-step explanation:

in the first increase we go up 5 minutes and up $20

this trend stays equal just with 10 minute and $40 increases

this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4

hope this helps chu babe <3

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.

An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?

Answers

Answer:

798

Step-by-step explanation:

So, 21*{2*18 + (21-1)*2}/2

= 21*{36 + 20*2}/2

= 21*{36+40}/2

= 21*76/2

= 1596/2

= 798

Total number of seats is 798

Given that;

Number of seats in first row = 18

Number of rows = 21

Each row added number of seats then previous = 2

Find:

Total number of seats

Computation:

Total number of seats = Sn = (n/2)[2a + (n-1)d]

Total number of seats = Sn = (21/2)[2(18) + (21-1)2]

Total number of seats = (21/2)[36 + (20)2]

Total number of seats = (21/2)[36 + 40]

Total number of seats = (21/2)[76]

Total number of seats = (21)(38)

Total number of seats = 798

Learn more:

https://brainly.com/question/16668552?referrer=searchResults

Please help me...will mark brainiest

Answers

Answer:

x-121

Step-by-step explanation:

Answer:

x² - 22x + 121

Step-by-step explanation:

(x-11)² is the same as (x-11)(x-11)

multiply the x in the first parentheses by x and -11 in the other parentheses and multiply the -11 in the first parentheses by x and -11 in the other parentheses and add all together

x²- 11x - 11x + 121

x² - 22x + 121

4. On a 3-hour trip, a car travels 156 miles.
What is the average speed of the car on this
trip?

Answers

Answer:

v = 52 mph

Step-by-step explanation:

Given that,

The distance travelled by the car, d = 156 miles

Time, t = 3 hour

We need to find the average speed of the car. The formula for the average speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]

So, the average speed of the car is equal to 52 mph.

How many triangles do you see?

Answers

Answer:

bajjaoasawwwssahwiwoa

16??

The perimeter of the rectangle is 40 centimeters. Find the value of x.
There is a picture of a rectangle and it has an x on the left side and a 3x on the bottom.

a. 4
b. 5
c. 8
d. 10

Answers

b is the correct answer

Help me please ........

Answers

Answer:

Step-by-step explanation:

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