Answer:
x = - 2, x = 6
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make the expression undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
Solve
- 3x² + 12x + 36 = 0 ( divide through by - 3 )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
x = - 2 and x = 6 ← are the excluded values
The inequality that describes this graph of the number line is x ≥ 4
<h3>How to determine the inequality that describes this graph?</h3>
From the question, we have the following properties:
- The graph is a number line
- The number line extends at both ends
- The number line starts from less than -5 and ends at greater than 5
- There is a heavy arrow that extends from a circle over positive 4 to the right.
The property 3 above implies that the domain of the number line is the set of all real numbers.
The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4
This is represented by the following inequality
x ≥ 4
Hence, the inequality that describes this graph of the number line is x ≥ 4
Read more about number line at
brainly.com/question/24644930
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Answer:
2/3 I think I'm not completely sure
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 10 hours at the same hourly rate. Answer:
Step-by-step explanation:
Suppose

if a>0 it has min if 0>a it has max