Answer:
Third option
x ≠2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
In this problem we are asked to find the domain of the function
We know that 
.
We know that:
Domain of U(x) is all real numbers except <em>x = 0</em>
Domain of V(x) is all real numbers except <em>x = 2</em>.
Then the domain of the composite function U(V (x)) is:
all real numbers except <em>x = 2</em>. (since <em>x = 2</em> does not belong to the domain of V(x) and all values of x for which <em>V(x) = 0</em> (since <em>x = 0</em> does not belong to the domain of U(x))
Finally the domain of ) is:
and 
The first one is neither
No. 2 is perpendicular ( because slope = -1/ slope of the other)
No 3 is parallel (both have slope of 3/4)
No 4 is perpendicular.
Step-by-step explanation:
hope this helps
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From the figure, m<ACD = m<ABD
4x + 4 = 6x - 14
6x - 4x = 4 + 14
2x = 18
x = 9
Therefore, m<ACD = 4(9) + 4 = 40°
Answer:
11.95 g / 6 hours
Step-by-step explanation:
drug dosage = 460 mg per kg per day
to be administered every 6 hours to a person who weighs 229 pounds
1 pound = 0.453592 kg
229 pounds = 229 × 1 pound = 229 × 0.453592 kg = 103.873 kg
dosage of drug needed for 103.873 kg
460 mg is to 1 kg per day
103.873 kg = 103.873 × 460 mg per 1 kg per day = 47781.58 mg per 103.873 kg per day
number of 6 hours in a day = 24 hours ÷ 6 hours = 4 times per day
dosage needed per 6 hours
47781.58 ÷ 4 = 11945.395 mg for every 6 hours = 11.95 g / 6 hours
