Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.

Answers

Answer 1

Answer:

It can not be modeled by a linear function

Step-by-step explanation:

The given parameters can be represented as:

[tex](x_1,y_1) = (1,64)[/tex]

[tex](x_2,y_2) = (2,32)[/tex]

[tex](x_3,y_3) = (3,16)[/tex]

Where: x = rounds and y = players

Required:

Determine if it can be represented by a linear function

To do this, we simply calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

and

[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]

Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:

[tex]m = \frac{32 - 64}{2 - 1}[/tex]

[tex]m = \frac{-32}{ 1}[/tex]

[tex]m = -32[/tex]

Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:

[tex]m = \frac{16 - 32}{3 - 2}[/tex]

[tex]m = \frac{-16}{1}[/tex]

[tex]m = -16[/tex]

Since both slopes are not the same, the relationship be modeled by a linear function


Related Questions

please help! will give brainiliest!​

Answers

Answer:

y=-1, y=1, y=3, y=5, y=7, y=9, y=11

Step-by-step explanation:

Given Equation: y=2x+5

Substitute x with the given x-values:

y=2(-3)+5=-6+5=-1

y=2(-2)+5=-4+5=1

y=2(-1)+5=-2+5=3

y=2(0)+5=0+5=5

y=2(1)+5=2+5=7

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

y=2(3)+5=6+5=11

Ms. Rivera runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?

Answers

Answer:

88 bottles

Step-by-step explanation:

Given

[tex]Cleaner =1\ gallon[/tex]

[tex]Water =10\ gallon[/tex]

Required

Determine the number of 1-pint spray bottles used

First, we get the total gallons of the cleaner and water.

[tex]Total = Cleaner + Water[/tex]

[tex]Total = 1\ gallon + 10\ gallon[/tex]

[tex]Total = 11\ gallon[/tex]

Convert to pints:

[tex]Total = 11 * 8\ pints[/tex]

[tex]Total = 88\ pints[/tex]

To get the number of spray bottles, we divide 88 pints by the size of the pint bottle.

[tex]Number = \frac{88\ pints}{1\ pint}[/tex]

[tex]Number = \frac{88}{1}[/tex]

[tex]Number = 88[/tex]

A tree is 40 feet tall.
A basketball hoop is 10 feet tall.
What is the difference in height between the tree
and the basketball hoop?
What is the difference in height between the
basketball hoop and the tree?
What is the distance between the heights of the
tree and the basketball hoop?
What is the distance between the heights of the
tree and the basketball hoop?

Answers

Answer:

1. 30

Step-by-step explanation:

40-10=30

Answer:

b its b

Step-by-step explanation:

if a parallelogram is 1.9ft at its base and 1.5 at its height what's its area?

Answers

Answer:

2.85 ft²

Step-by-step explanation:

1.9 x 1.5

The regualar price of a pair of sneackers
is $55 they are on sale for 25%

Answers

Answer:

$41 is your answer

Hope it Helps :)

Answer:

$41.25

Step-by-step explanation:

If the shoes regular price was $55 and the shoes are having a sale for 25%, this is how you would do the math.

25% is 25/100 or .25

55 * .25 = $13.75

55 - 13.75 = 41.25

NEED HELP, ASAP! !!! 2 QUESTIONS.

1: Write an expression for the perimeter of this figure in simplest form.
a 3x^2+18
b3x+3
c3x+9
d3x+5


2nd question.
Find the area of the given triangle.
a 2x^2+5x+12
b x^2+5x+6
c 2x^2+10x+12

Answers

Answer:

1.we know the perimeter of the triangle=x-3+x+6+x=3x+3

so,answer is (b)3x+3

2.area of the triangle=1/2*b*h

=1/2*x+2*2x+6=x+2*2x+6/2=2x^2+6x+4x+12/2=2x^2+10x+12/2=2(x^2+5x+6)/2=x^2+5x+6

so,answer is(b)x^2+5x+6

Nicole is cooking cookies recipe calls for 5 cups of flour she has already put in three 1/3 cups how many more cups does she need to put in

Answers

Answer:

1 2/3 cups of flour

Step-by-step explanation:

Nicole is cooking cookies recipe calls for 5 cups of flour she has already put in three 1/3 cups how many more cups does she need to put in?

We solve the above question using Subtraction operation

The number of cups she still needs to put in =

5 cups - 3 1/3 cups

= 5 - 3 1/3

= 5/1 - 10/3

The Lowest Common Denominator = 3

= 15 - 10/3

= 5/3

= 1 2/3 cups of flour

De las 30 preguntas del examen de matematicas, por cada respuesta correcta se obtenian 5 puntos y por cada respuesta incorrecta, o pregunta no contestada,se perdian 2 puntos teodolindo obtuvo 94 puntos en este examen ¿cuantas respuestas correctas tuvo?

Answers

Answer:

Teodolindo obtuvo 22 respuestas correctas y 8 respuestas incorrectas o no contestadas.

Step-by-step explanation:

Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales (es decir, un sistema de ecuaciones en donde cada ecuación es de primer grado), en el cual se relacionan dos o más incógnitas.

En los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso se debe establecer un sistema de ecuaciones, donde las variables son:

x: cantidad de respuestas correctasy: cantidad de respuestas incorrectas o no contestadas

Siendo 30 preguntas en el examen, se tiene la ecuación:

x + y= 30

Por cada respuesta correcta se obtenían 5 puntos y por cada respuesta incorrecta o pregunta no contestada, se perdían 2 puntos. Teodolindo obtuvo 94 puntos en este examen. Entonces se representa esta situación mediante la expresión:

5*x - 2*y= 94

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{x+y=30} \atop {5*x-2*y=94}} \right.[/tex]

El método de sustitución consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y  calculado.

Entonces, despejando el valor de x de la primer expresión obtienes:

x= 30 -y

Reemplazando en la segunda ecuación obtienes:

5*(30 -y) - 2*y= 94

Resolviendo:

5*30 - 5*y - 2*y= 94

150 - 5*y - 2*y= 94

- 5*y - 2*y= 94 -150

-7*y= -56

y= (-56)÷(-7)

y= 8

Reemplazando el valor de y obtenido en la expresión x= 30 -y se obtiene:

x= 30 - 8

x=22

Teodolindo obtuvo 22 respuestas correctas y 8 respuestas incorrectas o no contestadas.

PLZZ HELPPPP QUIICKK :))

Answers

Answer:

A...................

An online games club charges $5.75 for the first game download and $2 for each additional
download per month. Write a rule for describing the total monthly fees f as a function of
additional downloaus d. What are the fees for 15 game downloads in a month?

Answers

Answer:

a) The rule is;

f = 5.75 + 2d

b) f = $33.75

Step-by-step explanation:

Here, we want to write a rule

The rule is that we have a standard download fee of 5.75 for the first download, and then a download fee of $2 per download for the rest

We have this as;

f = 5.75 + 2(d)

f = 2d + 5.75

Now for 15 downloads;

first download is $5.75, remaking 14 is at a rate of $2 per one

Thus, we have the fee value as;

f = 5.75 + 2(14)

f = 5.75 + 28 = $33.75

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
4 ft
3 ft
8 ft

Answers

I believe that The answer is 8feet

Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?

Answers

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

Answer:

it will take him 8 days (7.98 in you don't round)

Step-by-step explanation:

90 -240= 150

150/90 = 1.6666....

1.66 * 3  = 4.98

4.98+3 =7.98  (8 if you round)

it would mean so much if u help me out on this one!
im failling all my clases and i do online school so everything is horrible
plzzz help

Answers

Answer:the answer should be B :) !

Step-by-step explanation:

You need to add all the yards ran per day to get 112 then multiply by 3 since a yard is equal to 3 feet, getting 336.

PLS HELP what expression is equivalent to 2 + y + y + y + y + y +3?

Answers

Answer:

5y+5

Step-by-step explanation:

I hope this is right

SOMEONE PLEASE HELP ME

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) Any set of functions that has a total degree of 4 and a total number of x-intercepts of 4 will do. Shown in the first attachment are 4 linear functions. A quadratic function with two x-intercepts could replace two of the linear functions, or a cubic with 3 x-intercepts could replace 3 of the linear functions.

__

b) Again, the total degree must be 3. Since there can only be one x-intercept, the quadratic factor must have none. A possible choice is shown in the second attachment.

The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?

A.
2 units

B.
7 units

C.
9 units

D.
12 units

Answers

C. 9 units. It takes 9 units to get from-1 to 8

Graph the equation
y = -3. Determine the
slope of the line

Answers

Answer:

The slope is 0

Step-by-step explanation:

The line is horizontal.  All horizontal lines have a slope of 0.

The graph is attached.

Please Help Quick ASAP Hurry
Figure ABCD is a parallelogram.Which statement must be true?
a. AB is congruent to BC
b. AB is parallel to BC
c. AD is parallel to BC
d. \ is congruent to \C

Answers

Answer:

Step-by-step explanation:

Answer:

a. AB is congruent to BC   Not True

b. AB is parallel to BC        Not True

c. AD is parallel to BC        True

d. \ is congruent to \C        Not True

Step-by-step explanation:


HELP HELP HELP HELP HELP!

Distribute the following expression, and type the equivalent expression into the text box.

3(12x-6)

Answers

Answer: thanks for brainly points kid

Step-by-step explanation:

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla's bag was ⅝ full, Eliana's bag was ⅖ full, and Nature's bag was ¾ full. How many pounds of soil did they put in the first flower bed altogether?

Answers

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

The population of Houston was 1,900,000 in 2000. It grew to 2,100,000 in 2010.
Find the percent of increase.
a. 10.5%
b. 20%
c. 21%
d. 40%
plz help will say branliest

Answers

The answer would be A.
1.220500
2. 420,000
3.441,000
4. 840,000

For number 1 which is skew to BC?

Answers

The answer is B the person on top is corr

6. John predicted that gas prices would raise 3.5% in the month of
January. If gas prices actually rose from $2.25 to $2.30, what was his
percent of error? Plzzz answer

Answers

Answer:

37.5%

Step-by-step explanation:

Given data

Initila Price= $2.25

3.5% of  $2.25

=3.5/100* 2.25

=0.035*2.25

=0.07875

Hence the expected new price is

=0.07875+2.25

=$2.33

The expected increase

=2.33-2.25

=$0.08

The actual increase

=2.25-2.30

=$0.05

Hence the error is

% error= Actual -Expected/Expected*100

% error= 0.05-0.08/0.08*100

% error= 0.03/0.08*100

% error=0.375*100

% error=37.5%

Hence the error is 37.5%

Math please help im failing this class its algebra

Answers

Answer:

y=5x+2

Step-by-step explanation:

-5x-4y=-8

-5x+y=2

y=2+5x

y=5x+2

pls send this answer pls pls pls
no fake answer pls pls

Answers

Answer:

6.75×10^5

Step-by-step explanation:

that's the answerrr

Answer:

6.75x10^5

Step-by-step explanation:

8) help pls I have the answer I just need to show the work

Which trigonometric function would you use to find “h”, the height of the tree?

Answer: C

Answers

Answer:

C

Step-by-step explanation:

Sine: Opposite / Hypotenuse

Cosine: Adjacent / Hypotenuse

Tangent: Opposite / Adjacent

75 = The adjacent of 40

H = The opposite of 40

Tan40 = 75 / h

H = 75Tan40

H ≈ 62.93

The trigonometric function which will be used to determine the height of the tree when the base is 75 ft. is tan(40)

What is trigonometric function?

The trigonometric function are the ratio of the sides of the right angled triangle. The functions are sine, cos, tan , cot, cosecant, secant.

How to find the height of the tree?

We can easily see that the base is 75 ft. and the height of the tree is h So the height of the tree can be found with the help of tangent function.

tan(40)=h/75

0.84=h/75

h=63 ft.

Hence the height of the tree is 63 ft.

Learn more about the trigonometric functions at  https://brainly.com/question/24349828

#SPJ2

question is in the picture :) please help I missed the lesson and my teacher isnt any help :/ ​

Answers

Answer:

x = 23

Step-by-step explanation:

This entire angle makes up 90° b/c of the square box

65 + x + 2 = 90

x + 67 = 90

x = 23

Answer: x=23

Step-by-step explanation:

This is a right angle. A right angle is 90°. It already gives us 65°. So 90-65=25°. We now know (x+2) ° = 25°. 25-2=23.

We can prove this is correct by answering the problem they gave us. (23+2) is 25. 25+65=90° 90° is a right triangle which also happens to be the triangle they have shown us.

Help me please , due soon

Answers

Answer:

Radius=12cm

Diameter=24cm

Step-by-step explanation:

The diameter is the full length of the circle through the middle (which is shown in the picture as 24cm).

The radius is half of the diameter.

Answer:

radius is 12 cm

diameter 24 cm

what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]

Answers

I’m pretty Sure that the answer would be 20 because 25 to the power of 2 would be 50 and 15 to the power of 2 is 30 and 50 - 30 =20

Answer:

20 Ans ..

Step-by-step explanation:

Given:

=25²-15²

Solution:

= √625-225

= 20 ans .....

math!! <<<<<< please help

Answers

Answer:

a₆ = 972

Step-by-step explanation:

Is it correct?

a₄ = 3a₃ = 3 × 36 = 108

a₅ = 3a₄ = 3 × 108 = 324

a₆ = 3a₅ = 3 × 324 = 972

Answer:

Step-by-step explanation:

Remark

You could do this two ways: one with a formula and one without. I'll do it both ways.

With Formula

a_n = 4 * 3^(n - 1)

a_6 = 4 * 3^(5)

a_6 = 4 * 243

a_6 = 972

Without

a1 = 4

a2 = 4 * 3^(2 - 1)

a2 = 4 * 3

a2 = 12

a3 = 3* a_n-1

a3 = 3 * 12

a3 = 36

a4 = 3*a_3

a4 = 3*36

a4 = 108

a5 = 3 * a_(n - 4)

a5 = 3 * 108

a5 = 324

a6 = 3 * 324

a6 = 972 which is the same answer you got by using a formula

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