Ryan has his own business selling watches, and he wants to monitor his profit per watch sold. The expression 200x-300/x models t
he average profit per watch sold, where x is the number of watches sold.
Part A
What does the numerator of this rational expression represent?
Part B
What does the denominator of this rational expression represent?
Part C
Rewrite the expression 200x-300/x as a sum of two fractions, and simplify.
Part D
What does each part in the expression from part C represent?
Part E
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x-50 models Ryan’s additional income. What is the expression that models the new average profit, including the bands? Note: to obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
15 points please help me!!!! PLZZZZZ
Part A
What does the numerator of this rational expression represent?
Part B
What does the denominator of this rational expression represent?
Part C
Rewrite the expression 200x-300/x as a sum of two fractions, and simplify.
Part D
What does each part in the expression from part C represent?
Part E
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x-50 models Ryan’s additional income. What is the expression that models the new average profit, including the bands? Note: to obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
15 points please help me!!!! PLZZZZZ
1 answer:
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Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of km and
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle,
, where
and
are the lengths of the triangle's legs and
is the length of the triangle's hypotenuse. In this case, we know what
and
are, and we need to solve for c, so after substituting the given values of
and
into
to solve for c, we get:
(Substitute
and
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately
km away from its base. Hope this helps!