Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
Answer:
x = 3 units
SV = 2 units
Step-by-step explanation:
In QR and ST are chords such that:
QR = ST = 4
That is both the chords are equal in measure.
Equal chords are at equal distance from the center of the circle. Therefore,
VZ = UZ
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3 units
Since, perpendicular dropped from the center of the circle bisects the chord.
Answer:
Step-by-step explanation:
we are given that A robot is expected to filter pollution out of at least 350 liters of air and water.
Also It filters air at the rate of 50 liters per minute, and it filters water at the rate of 20 liters per minute.
The inequality for number of minutes the robot should filter air (A) and water (W) to meet this expectations can be writte as follows:
Hence the required inequality has been formulated.