Find
where
<span>So to find the left sided limit, you need to plug in -8, into x+9
and to find the right sided limit, you need to plug in -8, into -7-x.
</span>
<span>If the two sides of the limit are no equivalent, then </span>
Since both sides are equal to 1, the limit is 1.
Answer:
We want to write and solve an inequality to determine the number of people who can go to the amusement park.
The solution is p ≤ 11
The friends have a maximum of $225 to spend.
The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220
Each ticket costs $20, so the cost for p people is:
p*$20
And this must be equal to or smaller than $220, then we get the inequality:
p*$20 ≤ $220
To solve it for p, we need to divide both sides by $20, we will get:
p*$20/$20 ≤ $220/$20
p ≤ 11
This inequality gives the number of people that can go to the amusement park.
Step-by-step explanation:
Hope this helps you!!!!!!!!!!! :D
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
9514 1404 393
Answer:
24
Step-by-step explanation:
Let p, d, r represent the numbers of premium, deluxe, and regular tickets sold, respectively.
p + d + r = 155 . . . . . . . number of tickets sold
8p +3d +r = 409 . . . . . revenue from tickets sold
d - p = 19 . . . . . . . . . . . relation between deluxe and premium tickets
Using the third equation, we can substitute d=19+p in the other two equations.
p + (19+p) +r = 155
8p +3(19+p) +r = 409
Subtracting the first of these equations from the second, we get ...
(11p +r +57) -(2p +r +19) = (409) -(155)
9p = 216 . . . . . . subtract 38 and simplify
p = 24 . . . . . . . . divide by 9
24 premium tickets were sold.
factor 3r^2-75
you would move the 3 to the outside of the parenthesis
then you have 5*5 = 25 and multiply that by the 3 to get the 75
3(r-5)(r+5)