Answer:
Zero of the function;
f(x) = 0 at x = -1.333
Discontinuity;
x = 1
Step-by-step explanation:
To determine the zero of the function;
we simply graph the function as shown in the attachment below.
From the attachment, we can deduce that f(x) = 0 at x = -1.333
To determine the discontinuity or the undefined points of the function, we simply equate the denominator to 0 and solve for x;
x - 1 =0
x = 1
The function is therefore not defined at the point where x =1
Answer:
115°
Step-by-step explanation:
● DAG is equal to 180°
● DAG = DAH + HAG
● HAG IS 130°
● DAG = DAH + 130° => DAH + 130° = 180°
● DAH = 180° - 130° = 50 °
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ADH is a triangle
● ADH + DHA + HAD = 180°
● ADH + DHA + 50° = 180°
DHA shares the same vertex with CHE. They are opposite angles so they have the same size (35°)
● ADH + 35° + 50° = 180°
● ADH + 85° = 180°
● ADH = 180° - 85°
● ADH = 95°
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BDA equals 180°
● BDA = 180°
● BDH + ADH = 180°
● BDH + 95° = 180°
● BDH = 180° -95°
● BDH = 85°
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BDE is a traingle
● BDH+ DEB + EBD = 180°
● 85° + DEB + 30° = 180°
● DEB + 115° = 180°
● DEB = 180° - 115°
● DEB = 65°
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CEF equals 180°
● CEF = 180°
● DEB + x° = 180°
● 65° + x° = 180°
● x° = 180° - 65°
● x° = 115°
Answer:
Step-by-step explanation:
Given:
First, find y for given x:
When x = 0, then
When x = 6, then
When x = 9, then
Now find x for given y:
When y = -1, then
When y = -3, then
So, the table is
Answer:
(6, -9)
Step-by-step explanation:
Our system of linear equations is:
6x + 2y = 18
-4x - 2y = -6
When we solve by elimination, we're essentially "eliminating" a variable so that we can solve for other more easily. Here, let's eliminate the y variable by adding the two equations together:
6x + 2y = 18
+ -4x - 2y = -6
____________
2x + 0y = 12
x = 12/2 = 6
Plug this back into one of the original equations to find y:
-4x - 2y = -6
-4 * 6 - 2y = -6
-24 - 2y = -6
-2y = 18
y = -9
The solution is (6, -9).