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Kamila [148]
4 years ago
12

Find the horizontal asymptote (Show your work)

Mathematics
1 answer:
Eduardwww [97]4 years ago
3 0

Answer:

y = 0

Step-by-step explanation:

To find the given asymptote of the given function, f(x) = \frac{x^2 - 2x + 1}{x^3 + x - 7}, first, compare the degrees of the lead term of the polynomial of the numerator and that of the denominator.

The numerator has a 2nd degree polynomial (x²).

The denominator has a 3rd degree polynomial (x³).

The polynomial of the numerator has a lower degree compared to the denominator, therefore, the horizontal asymptote is y = 0.

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Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an inv
loris [4]

Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a)  in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

Then;

0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

300 - 0.02a = 290

-0.02a = -10

a = -10/-0.02

x = 500

Thus;

the amount invested in an investment paying 8% interest = $500

the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500

4 0
3 years ago
I neeed helpppp can someone help me?
SVETLANKA909090 [29]

Answer:

-8/5

Step-by-step explanation:

The thing that makes lines different from other kinds of curves is their <em>constant rate of change</em>. We call this rate of change <em>slope</em>, and you usually see it represented with the letter <em>m</em>. We measure it as the rate our y-coordinate changes for some amount our x-coordinate changes.

We're given the two points (-1, 4), and (4, -4). From that first point to the second one, our x-coordinate <em>increases </em>by 5, while our y-coordinate <em>decreases </em>by 8, so our change in y is -8 for every 5 in the positive x direction, and we'd write our slope as

m = -8/5

4 0
3 years ago
What is the answer to 4x-7=-271
Irina-Kira [14]

Answer:

-66

Step-by-step explanation:

you have to add 7 to both sides which leaves you with 4x=-264.

Now you divide -264/4 which gets you to x=-66

4 0
3 years ago
Find the surface area of the prism.
Harman [31]

Answer:

288 m

Step-by-step explanation:

All you do is length times width times height.

Do 6 times 16 times 3 to get your answer of 288 m

3 0
4 years ago
Help me solve this equation:<br> 5X+7X+6-26=29<br> Thanks! I'll give 20 pts.
Oxana [17]

Answer:

1.3

Step-by-step explanation:

5x+7x+6-26=29

12x-20=29

12x=29-20

12x=9

x=1.3

7 0
3 years ago
Read 2 more answers
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