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.


Related Questions

A'B'C' is a dilation image of ABC. Which is the correct description of the dilation?

Answers

Answer:

The second option is the answer.

Step-by-step explanation:

The center of a dilation makes all the corresponding vertices coincide at one point if we draw a straight line including that pre image and new image point. All coordinates correspond about Point C. So the first two options are the viable answers.

The blue triangles right side measure is 10 while the smaller triangle right side measure is 5. This means the scale factor is

[tex]p = kx[/tex]

[tex]10 = 5x[/tex]

[tex]x = 2[/tex]

So our scale factor is 2.

The second option is the answer.

Please help me out . Find ? please

Answers

Answer:

Cos Θ= 21/34

Θ=cos^-1(21/36)

= 54°

OAmalOHopeO

Im not exactly understanding this question. Can someone please help me and possibly explain this to me?

Answers

Answer:

From the graph, when x=-6, y=1

so, your answer is A) f(x)=∛(x-6)+1

OAmalOHopeO

Which equation can be represented using the number line?

A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Three-fourths divided by one-eighth = 6
One-eighth divided by three-fourths = 6
6 divided by three-fourths = one-eighth
6 divided by one-eighth = three-fourths

Answers

Answer:

A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.

Step-by-step explanation:

Hope this helps!

Answer:

I'm pretty sure its 6 divided by 1/8=3/4 (D)

Step-by-step explanation:

find x, plzz helpp only have an hour to do this

Answers

Answer:

E. None of these

Step-by-step explanation:

Using the angle 43, we see that we will use Cos to find x.

This is because the sides are the adjacent and the hypotenuse

Cos (43) = 14/x

Multiply both sides by x

X (cos (43)) = 14

Then divide both sides by (cos(43))

x = 14 / cos(43)

Plug it into the calculator you get:

x = 25.22

Since this is not an answer choice, the answer is E. None of these

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

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? =30

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

Which expression correctly represents "six more than the a quotient of three and a number, decreased by eight"'

Answers

Answer:[tex] (\frac{3}{x} + 6) - 8[/tex]

Answer:

[tex]\frac{3}{x-8} +6[/tex]

Step-by-step explanation:

six more than.....  (+6)

the a quotient.... (÷)

of three ..... (3)

and ....(separator between numerator and denominator)

a number, decreased by eight... (x-8)

If 3x−y=12, what is the value of
8x
--
2y

Answers

Answer:

wait few minutes i will try

A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 666 milliliters of the chemical, which is consumed by the reaction at a varying rate that is no more than 13 milliliters per minute. Partway through the experiment, the chemist measures the amount of chemical remaining. If there are 562 milliliters of the chemical left, what is the smallest number of minutes that could have passed?

Answers

Answer:

8 Minutes

Step-by-step explanation:

since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.

666-562 = 104

Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.

104 / 13 = 8


What is the value of x?
750
37°

Answers

whats the problem? i cant solve it w/o the problem doll

Hello again guys I need help with the highest common factor of 12x³yz⁵;16x⁴y³z²​

Answers

Answer:

hello,

Step-by-step explanation:

a=12*x³yz⁵=4*3*x³yz⁵

b=16*x⁴y³z²=4*4*x⁴*y³*z²

hcf(a,b)=4*x³*y*z²=4x³yz²

what is the quotient in simpilst form? 4 1/2 ÷ 1 1/4​

Answers

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

  [tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

What are the coordinates of point A?

(8, –6)
(–6, 8)
(–5, 7)
(7, –5)

Answers

Answer:

(7, - 5 )

Step-by-step explanation:

A is positioned at (7, - 5 )

A farmer needs to cross the river with his fox, his chicken and a bag of corn. However, the boat can only fit the farmer and one other thing at a time. The problem is, the fox and the chicken are both hungry, so if he leaves the fox and chicken together, the fox might eat the chicken. If he leaves the chicken and corn together, the chicken might eat the corn. So how can the farmer get everyone across the river safely

Answers

first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!

Calculate the area of the triangle with the following vertices. Include the matrix with your work. (-5, 1), (2, 9), and (-5, 9)

Answers

Answer:

good luck :)

Step-by-step explanation:

How to solve this truth table ( p-->q) v q
p q
T T
T F
F T
F F

Answers

Without using a truth table:

(pq) ∨ q   ⇔   (¬pq) ∨ q   ⇔   ¬pq   ⇔   pq

With a table:

p   …   q   …   pq   …   (pq) ∨ q

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T

A polynomial p is graphed. What could be the equation of p? Choose 1 answer:
A. p(x) = x( x + 2)(2x + 7)
B. p(x) = x(x - 2)(2x - 7)
C. p(x) = x(2x) (7/2x)
D. p(x) = x(-2x)(- 7/2x)

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]

On circle O below, SE is a diameter. What is the measure of angle ISE?​

Answers

Answer:

Angle LIS is congruent to angle DIE making both of them 61°, angle LID and angle SIE are congruent as well. When you add LIS, DIE, LID, and SIE all add to 360°. So 61+61 equals 122. 360-122 is 238. You divide 238 by 2 to get 119. That will be the measure of angle SIE. A triangle is a total of 180° so add up the angles 27° + 119° to get 146°. Subtract that from 180° to get 34°.

34° is the measure of ISE

Hope this helps!

Step-by-step explanation:

Three vertices of a parallelogram are shown. If the fourth vertex, D, lies on a node of the grid, then how many parallelograms have vertices A, B, C, or D?

Answers

Answer:

3 parallelograms

Step-by-step explanation:

What is the x-coordinate of the red point?
A. 3
B. 2
C. -2
D. -3

Answers

The answer is 2 on the x axis

Where do you enjoy eating hamburgers? Group of answer choices This survey question is bad/biased. This survey question is good/unbiased.

Answers

Answer:

This survey question is good/unbiased.

solve the equation
[tex]log10 \: ( {x}^{2} - 3x + 12) \: = 2[/tex]

Answers

Answer:

x=11

Step-by-step explanation:

please the answer is proved in the diagram above

How do you figure this out?

Answers

He estado dos días de viaje, gastandome el primer día 1/3 de dinero que tenia y el segundo 1/5 ¿Qué parte del dinero que tenia me ha sobrado?

1/(x+1) + 1/a(x+1) find the lcm​

Answers

Answer:

See below.

Step-by-step explanation:

1/(x + 1) consists of 1 factor, 1/(x + 1)

1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)

The LCM is 1/[a(x + 1)]

The LCD is a(x + 1)

A regular polygon has 10 sides. Find the sum of interior angle

Answers

Answer:

Step-by-step explanation:

trewdsffffffffffffsdf

A 10 sided polygon is 1,440, you find this using the formula (n-2)(180). To find the measure of each interior angle u divide the sun by the amount of sides in the polygon. 1,440/10= 144

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

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

               =  -x² - x³ + x - 9

Answer:

x³ - 3x² + x - 9

Step-by-step explanation:

V(x) - W(x) =

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

= - x² + 2x - 4 + x³ - 2x² - x - 5 ← collect like terms

= x³ - 3x² + x - 9

Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)

Answers

Step-by-step explanation:

w

Algebra 1 proportional relationships

Answers

Answer:

It always pass through the origin.(0,0)

Help this is due in 10 mins

Answers

Answer:

Only A is true

for sure

....................

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