Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
Answer:
h = 3
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its reciprocal.
So h / (1/2) is the same as h * 2 or 2h
2h = 6
Divide both sides by 2 to isolate the variable h.
2h/2 = 6/2
h = 6/2
h = 3
Answer:
Step-by-step explanation:
The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...
(18)(21)/3 = 126 . . . . minutes
This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...
1:10 +2:06 = 3:16 . . . P.M.
and the next time after that is ...
3:16 +2:06 = 5:22 . . . P.M.
Answer: 5π inches
Full circumference: 2πr = 2π6 = 12π inches
60 minutes in a full circle
25 minutes: *12π = 5π