9.

Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.


A. quadratic; y = 2.5x2


B. exponential; y = 2.5x


C. quadratic; y = –2.5x2


D. linear; y = 2.5x

9.Graph The Data In The Table. Which Kind Of Function Best Models The Data? Write An Equation To Model

Answers

Answer 1

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

    = -2.5

   

   = 2.5

   

   = 7.5

2nd difference,

    = 5

   

   = 5

   

   = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.


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Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]

In fraction division, Use KCF method

K - Keep the first fraction

C - Change the ÷ operation to  * operation

F - Flip the second fraction

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Answers

Answer:

[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]

Step-by-step explanation:

The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.

Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]

Mercedes tiene una habilidad increíble al encontrar el número que falta; ella sólo suma y ya tiene la respuesta correcta, ¿Cuál es el valor de x? 32 10 41 22 10 33 53 16 62 25 x 25

Answers

El ejercicio completo es el siguiente:

Mercedes tiene una habilidad increíble al encontrar el número que falta; ella solo suma y ya tiene la respuesta correcta.

¿Cuál es el valor de x?

32 10 41

22 10 33

53 16 62

25 (x) 25

A) 10

B) 11

C) 12

D) 13

E) 14

Answer:

La  respuesta correcta es E: 14

Step-by-step explanation:

El ejercicio nos da una pista importante: solo sumar, así que al  mirar la ubicación de la variable x podemos deducir que los valores del centro son el resultado de una suma, ahora para saber si es cierto ,debemos hacer la prueba,entonces empezamos a sumar los dígitos por separado  de los valores dados ;

32 10  41 = 3+2+4+1 esto es igual a 10 el valor del centro

22 10  33= 2+2+3+3 esto es igual a 10 el valor del centro

53 16 62 = 5+3+6+2 esto es igual a 16 el valor del centro

Por lo tanto para hallar el valor de x debemos hacer lo mismo:

25   x   25 = 2+5+2+5 esto es igual 14

Entonces nos queda : 25 14 25= 2+5+2+5 igual a 14

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Answers

Answer:

(7, - 5 )

Step-by-step explanation:

A is positioned at (7, - 5 )

Let V(x)=−x2+2x−4 and W(x)=−x3+2x2+x+5. Find V(x)−W(x).

Answers

Answer:

Step-by-step explanation:

v(x) - W(x) = x² + 2x  - 4 - [x³ + 2x² + x + 5]

                = x² + 2x - 4 - x³ - 2x² -x - 5

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Answer:

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Step-by-step explanation:

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- x² + 2x - 4 - (- x³ + 2x² + x + 5) ← distribute parenthesis by - 1

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= x³ - 3x² + x - 9

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Step-by-step explanation:

w

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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trewdsffffffffffffsdf

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

See below.

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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