Answer:
y = 5x^2-5x-30
Step-by-step explanation:
A parabola with x-intercepts at (-2,0) and (3,0) has the equation
y = a(x+2)(x-3)
where a is to be determined.
We know that it passes through the point (0,-30), so
-30 = a(0+2)(0-3) = -6a
Therefore solve for a to get
a = 5
y = 5(x+2)(x-3)
y = 5(x^2-x+6)
y = 5x^2-5x-30
Answer:
7.1 cm
Step-by-step explanation:
The diagonal of a cube connects two opposite corners.
You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.
Let the length of the edge be s.
a^2 + b^2 = c^2
s = 7.1
Answer: 7.1 cm
Answer:
1498 or Mil cuatrocientos noventa y ocho (Espanol)
Step-by-step explanation:
2,000 - 502 = 2,000 - 500 - 2.
2,000 - 500 = 1500
1500 - 2 = 1498
Answer:
128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds
Step-by-step explanation:
The average rate of change is another way to say slope.
slope = (y2-y1)/(x2-x1)
= (576-64)/(6-2)
= (512/4)
=128 ft/s
This represents the change in ft per second, or the average speed the object is going during the time period.
