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Colt1911 [192]
3 years ago
15

Which of the following is the horizontal asymptote for the graph below?

Mathematics
2 answers:
Lena [83]3 years ago
7 0

Answer: Y=-4

Step-by-step explanation:

A

P

E

X

umka2103 [35]3 years ago
6 0

Answer:

B. y=-4

Step-by-step explanation:

The horizontal asymptote is the horizontal line that the graph behaves as if it is going to touch as the x-values approaches positive and negative infinity.

From the graph the horizontal asymptote is

y =  - 4

As we move towards negative infinity the graph approaches y=-4.

As we move towards positive infinity the graph approaches y=-4.

The correct answer is option B.

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snow_tiger [21]

Answer:

-.095

Step-by-step explanation:

6 0
3 years ago
Caffeine Castle buys bulk coffee to sell. The cost of 5 pounds of imported coffee is $60. What is the unit rate in cost per poun
katovenus [111]
Hey there! :) The answer to your question is $12 per pound. To find a unit rate you divide $60/5= $12. To double-check, 1 pound is $12, 2 pounds is $24, 3 pounds is $36, 4 pounds is $48, and lastly 5 pounds is $60. I hope you have a great day, and keep smiling! :D Also hoped I helped! ;)
8 0
3 years ago
A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional
photoshop1234 [79]
Let the length be x and the width be w

The perimeter will be:
2x+3w=1500

thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x

The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²

The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.

Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m

The width will be 250 m

4 0
2 years ago
The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.
Scorpion4ik [409]

Answer:

  • (C) 440 cm²

Step-by-step explanation:

<u>Volume:</u>

  • V = πr²h

<u>Given r = 5 cm and V = 110 cm³, find h:</u>

  • 1100 = π(5²)h
  • 1100/25 = πh
  • 44 = πh

<u>Curved surface area:</u>

  • S = 2πrh = 2*5*πh = 10*44 = 440 cm²

Correct choice is C

3 0
2 years ago
Read 2 more answers
Plzz help solve the given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no
zloy xaker [14]

Answers:

<h3>x = 3</h3><h3>One solution</h3><h3>Identity</h3>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Use distributive property to remove parentheses</h3>

2x + 4x - 4 = 2 + 4x

<h3>Step 2: Add like terms</h3>

6x - 4 = 2 + 4x

<h3>Step 3: Subtract 4x</h3>

We need all variables on one side to solve, so subtract 4x from both sides.

2x - 4 = 2

<h3>Step 4: Add 4</h3>

2x = 6

<h3>Step 5: Divide by 2</h3>

x = 3

<h3>Step 6: Check</h3>

2(3) + 4(3) - 4 = 2 + 4(3)

6 + 12 - 4 = 2 + 12

14 = 14 ✔

<h3>Step 7: How many solutions?</h3>

The given equation has only one solution.

<h3>Step 8: Identity, a contradiction or neither?</h3>

The given equation is an identity.

<h3>Step 9: Answers</h3>

x = 3

One solution

Identity

I'm always happy to help :)

3 0
3 years ago
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