Give the equation of the horizontal asymptote shown below.

Mathematics

2 answers:

Kazeer [188]3 years ago

5 0

Answer:

the other person is right, the answer is y = 7

Step-by-step explanation:

Oxana [17]3 years ago

4 0

Polynomial division yields

$\dfrac{7x^2}{x^2+5}=7-\dfrac{35}{x^2+5}$

As $x\to\pm\infty$ , you have the remainder term approaching $0$ , so the horizontal asymptote is the line $y=7$ .

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Jerry is planting white daisies and red tulips in his garden and he wants to choose a pattern in which the tulips surround the d

andre [41]

The borders are shown in the picture attached.

As you can see, starting with border 1, we have 6 daises (white squares) surrounded by 10 tulips (colored squares). Through Jerry's expression we expected:
8(b − 1) + 10 =
8(1 − 1) + 10 =
0 + 10 =
10 tulips.

When considering border 2, we expect:
8(b − 1) + 10 =
8(2 − 1) + 10 =
8 + 10 =
18 tulips.
Indeed, we have the 10 tulips from border 1 and 8 additional tulips, for a total of 18 tulips.

Then, consider border 3, we expect:
8(b − 1) + 10 =
8(3 − 1) + 10 =
16 + 10 =
26 tulips.
Again, this is correct: we have the 10 tulips used in border 1 plus other 16 tulips, for a total of 26.

Therefore, Jerry's expression is correct.