Answer:
x < -5 or x = 1 or 2 < x < 3 or x > 3
Step-by-step explanation:
Given <u>rational inequality</u>:
Therefore:
Find the roots by solving f(x) = 0 (set the numerator to zero):
Find the restrictions by solving f(x) = <em>undefined </em>(set the denominator to zero):
Create a sign chart, using closed dots for the <u>roots</u> and open dots for the <u>restrictions</u> (see attached).
Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.
Test values: -6, 0, 1.5, 2.5, 4
For each test value, determine if the function is positive or negative:
Record the results on the sign chart for each region (see attached).
As we need to find the values for which f(x) ≥ 0, shade the appropriate regions (zero or positive) on the sign chart (see attached).
Therefore, the solution set is:
x < -5 or x = 1 or 2 < x < 3 or x > 3
As interval notation:
Answer:
Step-by-step explanation:
Amount charges by plumber = £ 167.00
Call out fee = £ 18.50
Charge excluding the call out fee = 167 - 18.50 = £ 148.50
Total hours worked = 9 hours
Charge per hour = charge excluding the call out fee ÷ total hours
= 148.50 ÷ 9
= £ 16.50
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Answer:
The answers should be: B and D
Step-by-step explanation:
Sorry if wrong
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
<h3>How to calculate the probability?</h3>
The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
Read more about probability at:
brainly.com/question/251701