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Anna11 [10]
3 years ago
7

Analyze the asymptotes of the function.

Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

vertical asymptote at x=-1

horizontal asymptote at y=0

Step-by-step explanation:

y=\frac{1}{x+1}

To find vertical asymptote we set the denominator =0 and solve for x

x+1=0 (subtract 1 from both sides)

x=-1

So, vertical asymptote at x=-1

To find horizontal asymptote we look at  the degree of both numerator and denominator

there is no variable at the numerator , so degree of numerator =0

degree of denominator =1

When the degree of numerator is less than the degree of denominator

then horizontal asymptote at y=0

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the sum of three numbers is 15. the second number is double the first. the third number is 5 less than the first. what are the t
tigry1 [53]

Hello from MrBillDoesMath!

Answer:

5, 10, 0

Discussion:

Let "f" be the first number. Then the questions tells us that

f + 2f  + (f-5) = 15           =>

f + 2f + f - 5 = 15            => add 5 to both sides

4f = 5+ 15 = 20              => divide both sides by 4

f = 20/4 = 5

The numbers as

f:        5

2f:     10

(f-5):  0

Thank you,

MrB

5 0
2 years ago
A square has sides that are 80 ft long. Which equations can be used to calculate d the length of a diagonal of the square in fee
LenKa [72]
Notice the picture below

just use the pythagorean theorem to ge the diagonal

\bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}

7 0
3 years ago
Nora and Eli are making homemade spring rolls for a party. Nora can make 8 spring rolls in 10 minutes. Eli can make 10 spring ro
devlian [24]
Eli will finish first.

Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.

You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls  in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster. 

Hope this helped! Please mark me brainliest!
4 0
3 years ago
What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

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2 years ago
A 9-inch diameter pizza has 30 calories per square inch. About how many calories are in the entire pizza?
Yuliya22 [10]

Answer:

113.04 calories

Step-by-step explanation:

please mark answer as brainlest

8 0
2 years ago
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