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sasho [114]
3 years ago
12

Write the linear equation that gives the rule for this table.

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

--------------------------

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

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Sedaia [141]
Just a moment while I review this
6 0
3 years ago
Calculate the mean of the following data 2,3,5,6,1,10
defon

the mean is adding all them together and dividing by how many there are


2+3+5+6+1+10 = 27

there are 6 numbers so 27/6 = 4.5

 mean = 4.5

4 0
3 years ago
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order. The profit for the
jeka94

Answer:

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

Step-by-step explanation:

The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.

That is:

3 : 2 : 5

The profit for the year was $176,500.

To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.

The total ratio is:

3 + 2 + 5 = 10

The first partner will receive 3/10 of the profits:

\frac{3}{10} * 176500 = $52950

The second partner will receive 2/10 of the profits:

\frac{2}{10} * 176500 = $35300

The third partner will receive 5/10 of the profits:

\frac{5}{10} * 176500 = $88250

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

7 0
3 years ago
How many millimeters are there in 16 meters
Anika [276]
One of the very nice features of the metric system of measurements is that there is a set of standardized prefixes that can be applied to any of the units. Some of the more common ones are
.. micro- . . . one millionth
.. milli- . . . . one thousandth
.. centi- . . . .one hundredth
.. kilo- . . . . .one thousand

Thus, one millimeter is 1/1000 = 0.001 meter. There are 1000 of them in 1 meter, so
.. 16 m = 16000 mm
4 0
3 years ago
Ayúdenme en este ejercicio por favor
lapo4ka [179]

Para poder encontrar el número total de conjuntos de diferentes números, lo primero que debemos contar es el número de opciones para cada una de las selecciones.

A) Para el primer número tenemos 47 opciones

para el segundo número tenemos 46 opciones, pues una ya fue seleccionada.

Para el tercer número tenemos 45 opciones

Para el cuarto número tenemos 44 opciones

Para el quinto número tenemos 43 opciones

Para el sexto número, el mega número, tenemos 27 opciones.

El número total de combinaciones es igual al producto entre los numeros de opciones:

C = 47×46×45×44×43×27 = 4,969,962,360

B) Ahora sabemos que dos de los primeros 5 números tienen valores fijos A y B.

Asumamos que son el primero y segundo número.

Entonces:

El primer número es A (1 opcion)

El segundo número es B (1 opcion)

El tercer número tiene 45 opciones (por que dos ya fueron seleccionadas)

El cuarto número tiene 44 opciones

El quinto número tiene 43 opciones

El sexto número tiene 27 opciones.

Para encontrar el número total de combinaciones no solamente deberemos multiplicar los números de opciones, tambien tendremos que tener en cuenta el número de permutaciones de 2 elementos (A y B) entre los primeros 5 posibles espacios.

Para calcular esto vemos cuantas posibles opciones tiene cada uno de ellos.

El número A tiene 5 posibles posiciones (5 opciones)

El número B tiene 4 posibles posiciones (pues una esta ocupada por A)

asú, el número de permutaciones es:

P = 5*4 = 20

Asi, en este caso el número total de combinaciones es:

C = (1×1×45×44×43×27)×20 = 45,975,600

Si quieres aprender más, puedes leer:

brainly.com/question/21591279

7 0
3 years ago
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