Answer:
A 29 is the answer to the problem
Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>
∵ g(x) = 
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
Answer:
Therefore Planet Diner is located 170 miles from Clark.
Step-by-step explanation:
We are given our origin, which is Clark (C) and three Locations as Lutherville (L), Otisburg (O) and Planet Diner (PD).
We know that the distance between Clark and Lutherville is 145 miles.
We know that the distance between Clark and Otisburg is 195 miles.
We also know that Planet Diner is halfway between Lutherville and Otisburg, thus exactly in between them.
<em><u>So if we can find the position of Planet Diner between Lutherville and Otisburg, we will automatically know its distance from Clark, since Clark is the reference origin for ALL locations. </u></em>
Thus we have




Therefore Planet Diner is located 170 miles from Clark.