First of all, thank you for sharing the illustration of this problem. Without the illustration it would be hard to come up with an answer, since there are various kinds of limit and your own, typewritten instructions did not specify which.
Here you're finding the limit as x approaches infinity. Both 2x and 4x (as shown in the illustration grow larger continually and without bound, as x increases. As this happens, the other terms (+3 and -5) are simply overpowered by the x terms. If you choose to ignore these other terms for this reason, then your expression will be
2x
----- and this approaches the value 1/2 as x grows increasingly large in the
4x original expression.
So the limit of that expression, as x grows large without bound, is 1/2.
Answer:
Step-by-step explanation:
Hello : let A(XA,YA) B(XB,YB)
the slope is : (YB - YA)/(XB -XA)
The winner of an election is voted for by the majority of people. If there are two things being voted for, veggie pizza and chicken, and pizza earns 36% of the vote, then chicken must earn 64% of the vote because 36 and 64 add to 100.
Therefore, the chicken would win the election and be on the lunch menu.
Answer:A
Step-by-step explanation:
Its A
Answer:
The depth of the reflector is 0.84 feet
Step-by-step explanation:
<em>(See the figure below)</em>
The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:
(1)
With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:
(2)
Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:
, solving for y