Answer:
(7x²y + 4xy²+ y³ + 1) is the answer.
Step-by-step explanation:
We have to write the simplified form of the given expression.
(6x²y + 4xy² - 2y³ + 6) + (x²y + 3y³ - 5)
We will collect the similar terms first
(6x²y + x²y) + 4xy²- (2y³ - 3y³) + (6 - 5)
= 7x²y + 4xy²+ y³ + 1
Therefore, (7x²y + 4xy²+ y³ + 1) will be the answer.
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
Robin’s graph is a translation of Giselle’s graph 1 unit down.
Robin’s graph is a translation of Giselle’s graph 1 unit left.
Robin's graph of the function is the reflection of Giselle’s graph over the x-axis.
You can think in two ways:
1. For the function y=f(x), the sign minus before f(x) change the positive values of y into negative values. For example, f(2)=4 and g(2)=-4. This means that graphs of f(x) and g(x) are symmetric across the x-axis.
2. You can simply construct the table of values
and plot both graphs on the coordinate plane. From this diagram it is seen that graphs are symmetric over x-axis and Robin’s graph is a reflection of Giselle’s graph over the x-axis.
(-2,4) and (-2,8)
Answer:
4 units
Step-by-step explanation:
Given points:
As the x-coordinates of both points are the same, the two points line on the vertical line x = -2.
Therefore, to find the distance between the points, find the absolute value of the difference between their y-coordinates:
Therefore, the distance between points (-2, 4) and (-2, 8) is 4 units.
Answer:
+4
Step-by-step explanation: 4y and 8y would be 4 away from each other in the positive direction starting from 4y to get to 8y, therefore the diatance between (-2,4) and (-2,8) is 4
Answer:
C = 4x + 2000 es la ecuación
El costo de los rodamientos de soporte 950 es de $ 5,800
Step-by-step explanation:
Esperamos una gráfica lineal de costo contra el número de rodamiento de respaldo.
Un punto en este diagrama tendrá una representación como (número de demoras, costo)
Ahora, a partir de la pregunta, podemos identificar dos puntos; (300,3200) y (700,4800)
Generalmente, la ecuación de una línea recta tiene la forma
y = mx + c
donde m es la pendiente y c es la intersección en y
Lo que esto significa en esta línea es que tenemos dos cosas para calcular, que es la pendiente de la línea y la intersección de la línea. Usando los dos puntos podemos calcular estos.
matemáticamente, la pendiente se puede calcular como;
tenemos m = (4800-3200) / (700-300) = 1600/400 = 4
Como conocemos la pendiente, el modelo lineal ahora se convierte en
y = 4x + c
Para obtener el valor de la intersección con el eje y, podemos usar cualquiera de los dos puntos. Digamos que queremos usar el primer punto (300,3200)
3200 = 4 (300) + c
3200 = 1,200 + c
c = 3200-1200
c = 2000
Así la ecuación se convierte
y = 4x + 2000
Ahora usemos los parámetros definidos en la pregunta, tenemos;
C = 4x + 2000
donde C es el costo yx es el número de rodamientos de soporte
Ahora queremos calcular el costo de 950 rodamientos
Simplemente usamos la ecuación que hemos modelado donde en este punto, x = 950
C = 4 (950) + 2000
C = $ 5,800
To create a 3 by 3 magic square using the given numbers, arrange them in a way that each row, column, and diagonal adds up to the same sum.
To create a 3 by 3 magic square using the given numbers, we need to arrange them in a way that each row, column, and diagonal adds up to the same sum. Let's examine the given numbers:
Now, let's find a possible arrangement:
In this arrangement, each row, column, and diagonal adds up to 54, making it a 3 by 3 magic square.
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