Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.

State the Domain and Range for this equation in the context of the problem scenario?

Answers

Answer 1

Answer:

x-intercept:   x=24

DOMAIN: (0,24) where x∈Natural Numbers

RANGE: (0,12) where y∈Natural Numbers

Step-by-step explanation:

Remain money = y

Number of games = x

Given function:

[tex]y=12-0.5x\\[/tex]

x-intercept:

x-intecept is the value of x where y becomes zero.

Substitute y=0 in the given equation:

[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]

Domain:

Domain is a set of all possible values of x.

x= No. of games (So x cannot be negative)

y= Remain Amount (So y cannot be negative)

So the minimum value of x is 0 because x cannot be negative.

Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.

So maximum value of x is 24

DOMAIN: (0,24) where x∈Natural Numbers

Range:

Range is a set of all outcomes of y for all possible values of x.

For x=0 , y =12

for x=24 , y = 0

So

RANGE: (0,12) where y∈Natural Numbers


Related Questions

Express the recurring decimal 0.1555555555... as a fraction give answer in its simplest form

Answers

in it's simplest form it's 0.1555555555

PLEASE HELP ITS TIMED!!

Answers

Answer is 3..........

Subtract negative 24 from 11.

Answers

Answer:

-35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

11-(-24)

35

brianliest please

Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the approximate measure of angle F? Use the law of sines to find the answer.

11.5°
44.4°
68.0°
81.9°

Answers

Using the sine rule:

40/sin(90) = 28/sin(x)

These are two fractions that are equal so we can cross multiply to get:

40 x sin(x) = 28 x sin(90)

Rearranging:

sin(x) = (28 x sin(90))/40

Take inverse sine to find x (the angle)

x = sin^-1(28 x sin(90))/40)

X = 44.4° to 1dp

Lmk if anything’s unclear.

Answer:

44.4

Step-by-step explanation:

right on edge

Helllp please someone

Answers

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

Answer:

-920

Explanation:

To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:

-447 - 473

- (447 + 473)

-920

Therefore, the new dot was on -920.

In right triangle ABC on hypotenuse AB lies points K and M such that AK=AC, BM=BC. Find m∠MCK.

Answers

Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.

What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

A:(-8/3,0)

B:(0,-8/3)

C:(4,0)

D:(0,4)

E:(-4,0)

Answers

Answer:

C

Step-by-step explanation:

x-intercept occurs when y=0.

2x -3y= 8

When y=0,

2x -3(0)= 8

2x= 8

x= 8 ÷2

x= 4

Thus the coordinates is (4,0).

What is a constant of proportionality in the equation 3y equals 2x?

Answers

Answer:

y=2/3x (y equals two-thirds x)

Step-by-step explanation:

3y=2x

(divide by 3 on both sides to get just the y value)

3/3y=2/3x

y=2/3x

951/3 i dont under stand

Answers

Answer:

317 IS THE ANSWER

Step-by-step explanation:

The right answer is 317

please see the attached picture for full solution.

hope it helps

good luck on your assignment

NEED HELP AGAIN . ASAP PLS AND THX​

Answers

Answer:

I am pretty sure its (a) and (c)

Step-by-step explanation:

the answers are A and C

The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.

Set up the system of equations and solve for how old Jan and George are now.

Answers

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:

what is m<2? and what ism<4

Answers

Answer:

a and c

Step-by-step explanation:

∠ 1 = 60° ( vertical angle )

The sum of the 3 angles in a triangle = 180°, thus

∠ 2 = 180° - (60 + 70)° = 180° - 130° = 50° → a

(7)

∠ 3 = 180° - (60 + 40)° = 180° - 100° = 80°

∠ 3 and ∠ 4 are adjacent angles and supplementary , thus

∠ 4 = 180° - ∠ 3 = 180° - 80° = 100° → c

the answer is A and C

Interpret the following table about school dropout at the basic level (5 marks)
Primary. Jhs
Boys. Girls. Total
49. 51. 100%
56. 44. 100%


Answers

Answer:

Step-by-step explanation:

Given the following :

- - - Jhs

Basic level - - - - Boys - - - - Girls - - - - Total

Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%

Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%

With the information above,

Primary Dropout percentage:

BOYS : [49 / (49 +51)] × 100.= 49%

GIRLS : [51 / (49 +51)] × 100.= 51%

Jhs: Dropout percentage

BOYS : [56 / ( 56 + 44) × 100 = 56%

GIRLS : [44 / (44 +56)] × 100.= 44%

Eva can type 320 words in 4 minutes. How many words per minute can Eva type?
words per minute​

Answers

Answer:

80 words per minute

Step-by-step explanation:

320/4

80 wpm

Answer:80 wpm

Step-by-step explanation:

Divide 320 by 4.

That should give you 80.

Hope i helped :)))

The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie City, the membership fee is 30.00 and every downloaded movie is 2.00. How many downloaded movies must be purchased for the monthly price to be the same. (Can someone turn this into an equation for me?)

Answers

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

Answer:

3x + 10 = 2x + 30

Step-by-step explanation:

Let the number of movies downloaded = x

Movie time:

3x + 10

Movie city:

2x +30

3x + 10 = 2x + 30

3x -2x = 30 - 10

x = 20

3(c+2)=36 what is c=?

Answers

Answer:

3(c + 2) = 36

c + 2 = 12

c = 10

Answer:

10

Step-by-step explanation:

3(c+2)=36

- Use distributive property

3c+6=36

- subtract 6 from both sides

3c=30

- divide by 3

c = 10

About how much medicine is in a medicine bottle

Answers

Answer:

For measuring such small amounts of medicine, your doctor may give you a 1 cc syringe (there is that cubic centimeter thing again - remember, it is the same as a milliliter - ml).

...

measurement of medicines.

1/4 teaspoon 1.25 ml

1 teaspoon 5 ml

1-1/2 teaspoon 7.5 ml

1 tablespoon 15 ml

Step-by-step explanation:

Answer:

Depends on the medicine, some have more some have less there is no set amount

Step-by-step explanation:

Pls give brainliest i had 40 down to 1 for no reason, i will thank you for it via ur profile and comments also a thanks would be appreciated too

I hope this helps u! ;)

Which of the following exponential functions represents the graph below?

Answers

Answer:

C

Step-by-step explanation:

So you should be looking for the right function.

Remember that any number to the power of 0 is by definition 1.

3 * 1 = 3

In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.

So if you substitute x= 0 the result should be 3.

3 * 1 = 3

The two functions that comply with that, are the ones in answers B or C.

In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.

The only function that complies with that is in answer C.

The value of cos X is
40/41
42/41
9/41
35/41

Answers

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering [tex]x \in \mathbb{R}[/tex], the range of  [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.

In this exercise, we may have

[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]

Does anyone know how to solve these two math problems??!

Answers

Answer:

1. x = -1

2. y = -3

Step-by-step explanation:

1. 5(5x+2) = 4(x+3)

5-5x+2 = 4x+12

5-5x+2 = 4x+12

-5x+3 = 4x+12

     -3         -3

-5x = 4x+9

-4x    -4x

-9x = 9

x = -1

2. -3³-2(2y-2) = 5y+4

-27-4y+4 = 5y+4

-4y-23 = 5y+4

     -4          -4

-4y-27 = 5y

+4y         +4y

-27 = 9y

y = -3

Answer:

1. 4.17

2.  -2.2

Step-by-step explanation:

Steps For Number 1

1.  solve put 5x and 1 together, then put two and three together.

5 - 6x +5 = 4

2. 6x + 5 =

x=  0.83

5 - 0.83 =  4.17

Steps For Number 2

1. -3^3 = -9

2. -9 - 2(2y-2) = 5y +4

3. solve for y in 2y -2

y = 0

4.  -9 - 2 = -7

5. -7 = 5y +4

5y +4 =-7 solve

     -4 = -4

  5y = -11 divide 5 by both

         

                   

WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Output 1 2 3 2 5 3 Table C Input Output 0 0 1 2 1 3 Table D Input Output 4 2 4 3 4 4 Table A Table B Table C Table D

Answers

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!

Answers

Answer:

Step-by-step explanation:

Does (7, 1) make the equation y = x true?

Answers

Answer:

No.

Step-by-step explanation:

The point (7,1) contains a x-value of 7 and a y-value of 1.  7 does not equal 1.

Answer:

The equation is true.

Step-by-step explanation:

Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4% and a time period of 1.5 years. Show​

Answers

Answer:

A = $ 3,283.44

A = P + I where

P (principal) = $ 2,950.00

I (interest) = $ 333.44

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

The graph of y= -2x + 10 is:
O A. a point that shows the y-intercept.
O'B. a point that shows one solution to the equation.
O c. a line that shows the set of all solutions to the equation.
O D. a line that shows only one solution to the equation.
SUBMIT
Helppp me plzzzz

Answers

Answer:

A. a point that shows the y-intercept

Step-by-step explanation:

Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72

Answers

Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72

Given f(x)=3x - 1 and g(x)=-x + 6 find f(-2) + g(5)

Answers

Answer:

Step-by-step explanation:

f(-2)= 3(-2) - 1 = -6 - 1 = -7

g(5)= -5 + 6 = 1

-7 + 1 = -6

Please answer this question GEOMENTRY ​

Answers

Answer:

4 in

4√2 in

Step-by-step explanation:

Part A

Missing angle= 90°-45°=45°

Missing leg = 4 in as opposite angles are equal

Part B

According to Pythagorean theorem

Hypotenuse²= (4in)²+(4in)²= 32 in²

c=√32 in²= 4√2 in

PLEASE HELPPPPPPPPPPPPPP!!!!!!!

Answers

The answer is: 25 red flowers
red yellow. total
5. 10. 15
10. 20. 30
15. 30. 45
20. 40. 50
25. 50. 75

there are 25 red flowers

How much is a penny and a quarter

Answers

Answer:

check google

Step-by-step explanation:

Answer: 26¢

Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢

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