Elisa is writing an algebraic expression for the phrase 5 less than a number. find her mistake and correct it.
1 answer:
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Answer:
2.55
Step-by-step explanation:
Draw a picture of the triangle formed by points P, A, and B. The angle of the line from P to A is 225°. The angle of the line from P to B is 116°. The angle of the line from B to A is 258°, and the length of the line is 3.91.
The easiest way to solve this is by first finding the angle of the line from B to P. Using interior angles, we can show that this is 180° − 116° = 64°.
Next, we can show that:
∠APB = 225° − 116° = 109°
∠ABP = 360° − (258° + 64°) = 38°
Finally, we can use law of sines to find AP.
AP / sin 38° = 3.91 / sin 109°
AP = 2.55
Answer:
Domain is (0,∞)
Range is (45, ∞)
Step-by-step explanation:
Let x represents the number of persons and f(x) represents the average cost per person,
∵ Fixed cost = $ 2500
Also, additional cost is $ 45 per person,
So, the total cost for x persons ( in dollars ) = fixed deposit + additional cost for x persons,
= 2500 + 45x
Which is a rational function,
∵ A rational function is defined for all real numbers except those for denominator = 0
Denominator of f(x) = x
So, f(x) is defined for all real numbers except x ≠ 0,
Now, the cost can not be negative,
⇒ x > 0
Hence, the domain for f(x) is (0, ∞)
Again,
If
So, 45 < f(x) < ∞
i.e., range of f(x) is (45, ∞)