Answer:
As x → ∞, f(x) → ∞
As x → -∞, f(x) → 3
Step-by-step explanation:
This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.
Answer: the distance traveled on the return trip is 70 miles.
Step-by-step explanation:
Let d represent the distance travelled along the side streets.
Let t represent the time spent travelling along the side street
Traveling the side streets, she avaraged 20 mph.
Distance = speed × time
Therefore, distance travelled along the side streets is
d = 40t
On the return trip, Rob's truck took the freeway, averaging 50 mph. The freeway distance is 2 miles less than the distance on the side streets and they saved 24 minutes(24/60 = 0.4 hours). It means that the distance travelled on the return trip is (d - 2) miles and the time spent is
(t - 0.4) hours. Therefore
d - 2 = 50(t - 0.4)
d - 2 = 50t - 20 - - - - - - - - - - -1
Substituting d = 40t into equation 1, it becomes
40t - 2 = 50t - 20
50t - 40t = - 2 + 20
10t = 18
t = 18/10 = 1.8
d = 40t = 40 × 1.8
d = 72
The distance on the return trip is
72 - 2 = 70 miles.
35 cards. 7 X 4 = 28. Add the 7 he gave to his friend, and you get 35.
Answer:
$60.00 * 1.075 * .6 + 5.99 = $44.69
when you have multiple fees and discounts and taxes and whatever else, you should follow the order of all operations. multiplication and division before addition and subtraction, and so on.
Step-by-step explanation:
For discount and sales tax you multiply, and for shipping you just add the fee. We will save shipping for last since it doesn't effect the discount or tax. Meanwhile you could apply the discount and tax in any order.
To apply a discount you take the price and multiply by 1 minus the percent in decimal form. decimal form of a percent is basically the number divided by 100. so 40% = .4 then 1 - .4 = .6
to apply a ttax you multiply 1 plus the percent in decimal form. tax is 7.5% so in decimal form that's .075 then 1 plus the tax is 1.075
so now you multiply 60 * .6 * 1.075 and also remember 60 * .6 * 1.075 = 60 * 1.075 * .6 but the answer is $38.70
Now add the shipping, so 38.70 + 5..99 = $44.69