Respuesta: El gráfico mostrado en la imagen adjunta.
Explicación paso a paso:
Tenemos la ecuación
que representa la recta en forma punto-pendiente.
El punto dado es (-4,-6) y la pendiente m está indicada en
.
Para identificar el gráfico, se calculan las intersecciones con los ejes:
El punto de intersección con el eje y es (0, -3), que es el valor de y cuando x es 0.
El punto de intersección con el eje x es (4, 0), el valor de x cuando y es 0.
Utilizando una herramienta para graficar, se observa el gráfico en la figura adjunta.
Response:
The bike positioned higher on the y-axis is the one that has traveled a greater distance.
Step-by-step explanation:
If Dorrian charted the positions of the bikes with time in seconds on the x-axis and distance traveled on the y-axis, the x-coordinates for both bikes would align.
However, the bike that finished faster would achieve a higher y-coordinate, while the slower one trail behind with a lower y-coordinate.
Thus, the bike with the higher y-coordinate is the victor of the race.
The reason is rooted in the angle addition postulate. If we have the scenario where TR is a line intersecting segment VS at point R, we can establish that by applying the angle addition postulate, we can deduce that x is equal to 30. In option (1), which uses the substitution property of equality, this condition cannot be utilized correctly here. Option (3) involving the subtraction property of equality does not apply either. Lastly, option (4) regarding the addition property of equality is also inappropriate for deriving the value of x.
Solution:
[(2x² + 5x) + (4x² – 4x)] + 5x³ =
(2x² + 5x) + [(4x² – 4x) + 5x³]
Step-by-step breakdown:
Answer:
y=4x+7.75; continuous
Step-by-step explanation:
Let’s first establish the equation. Julie requires one segment of yarn measuring 7.75 inches: that's already known.
y = 7.75
Now, for the four pieces of yarn, each will be of equal length x. If she wants them to measure 1 inch, she'd need 4 inches of yarn. Therefore, the calculation would be:
y = 7.75 + 4x
Now, is this graph discrete or continuous? Continuous indicates there's a smooth line without gaps, while discrete has interruptions or spaces. In this scenario, x is continuous, as Julie can cut the yarn to any size for the four pieces. She is not limited to whole numbers; each piece could be, for instance, 2.5 inches or 3.1415 inches.
