Answer:
Therefore,
Step-by-step explanation:
Given:
f(x) = - 3x - 2 and
g(x) = - 2x - 4 ,
To Find:
h(x) = g(x) - f(x)= ?
Solution:
We require,
Substituting f(x) and g(x) we get
Therefore,
Use the definition of conditional probability to find the "and" probability:
Use the inclusion/exclusion principle to find the "or" probability:
Answer:
The ordered pair is not a solution of the system D
explanation:
A.
y < -3
y ≤ 2/3x - 4
B.
y > -3
y ≥ 2/3x - 4
C.
y < -3
y ≥ 2/3x - 4
D.
y > -2
y ≤ 2/3x - 4
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
Verify each case
Case A) we have
----> inequality A
----> inequality B
Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results
Inequality A
----> is not true
therefore
The ordered pair is not a solution of the system A
Case B) we have
----> inequality A
----> inequality B
Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results
Inequality A
----> is true
Inequality B
----> is true
therefore
The ordered pair is a solution of the system B
Case C) we have
----> inequality A
----> inequality B
Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results
Inequality A
----> is not true
therefore
The ordered pair is not a solution of the system C
Case D) we have
y > -2 ----> inequality A
----> inequality B
Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results
Inequality A
----> is not true
therefore
The ordered pair is not a solution of the system D
Divide both sides by 3
x + 2 = 7
x = 5
