Step-by-step explanation:
Representing inequalities on number line:
First of all we write the inequalities that are to be represented.
Let x represent the elevation of the miner at any time of the day.
The minimum elevation is 6 ft below the sea level. If we consider the sea level as 0 on the number line, the lower limit is -6.
The maximum elevation is 6 ft above the sea level. Hence the upper limit is 6.
The elevation throughout the day is represented by the inequality:
-6 ≤ x ≤ 6 and represented on the line as shown in the picture attached.
Note: The solid end points of the line at 6 and -6 means that 6 and -6 are included in the inequalities.
Answer:
33
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x)
f(- 3) = - (- 3)³ + (- 3)² + (- 3) = - (- 27) + 9 - 3 = 27 + 9 - 3 = 33
Lets take any two points on the line . I took (-2,-2) and (0,-3)
slope is rise/run = -3-(-2)/ 0-(-2) = -3+2/2= -1/2
answer is -1/2
Answer:
(3,5) and (-1,-3)
Step-by-step explanation:
2x - 1 = x² - 4
2x = x² - 3
0 = x² - 2x - 3
0 = (x+1)(x-3)
x1 = 3, x2 = -1
y = 2(3) - 1
y = 6 - 1
y = 5
(3,5)
y = 2(-1) - 1
y = -2 - 1
y = -3
(-1,-3)
Therefore, the coordinates are (3,5) and (-1,-3)