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avanturin [10]
3 years ago
10

Determine the equations of the vertical and horizontal asymptotes if any for f(x)=x/x-5

Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0

Answer:

Horizontal Asymptote: x = 0

Vertical Asymptote: x = 5

Step-by-step explanation:

The function is given as  f(x)=\frac{x}{x-5}

<em>Horizontal asymptotes are found by equating numerator to 0 and solving for x</em>

<em>Vertical asymptotes are found by equating denominator to 0 and solving for x</em>

<em />

<u>Horizontal Asymptote:</u>

x = 0

<u>Vertical Asymptote:</u>

x - 5 = 0

x = 5

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The perimeter of a rectangle is 250 inches. if the length is 4 times as big as the width, what is the length and width of the re
yarga [219]

The length and width of the rectangle are 7.90 inches and 31.6 inches respectively

It is given that,

Let the length of the rectangle = l

Let the width of the rectangle = w

The perimeter of the rectangle = 250 inches

l x w = 250 ....eq 1

Then,

Length is 4 times as big as width

4l = w

We need to find, the length and width of the rectangle

Putting the value of w in eqn 1

We get,

4l^{2} = 250

l^{2} = 62.5

l = \sqrt{62.5}

l = 7.90

Similarly, we can get,

w = 4l

w = 4 x 7.90

w = 31.6

Hence, the length and width of the rectangle are 7.90 inches and 31.6 inches respectively

To learn more about, perimeter, here

brainly.com/question/18793958

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8 0
1 year ago
You can walk 3 miles per hour, jog 5 miles per hour, or run 10 miles per hour. You go a full hour before changing pace. At the e
Studentka2010 [4]

Answer:

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22)  199

Step-by-step explanation:

a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.

Thus, the number of ways one can cover n miles will be given by the recurrence relation

p(n) = p( n-3) + p( n-5) + p( n - 10)

now to solve the rest of the question, let us make a table which provides the number of ways for n = 1  to 22.

check the attachment for the table

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22)  199

8 0
3 years ago
Which is greater,,, 3/6 or 2/5
Karolina [17]
3/6 is the answer

3/6is 0.50 and 2/5 is 0.40

Just divide them
6 0
3 years ago
Read 2 more answers
Linear equations and interception
iVinArrow [24]

Answer:

x - intercept = 6

y - intercept = 3

Step-by-step explanation:

To find x - intercept, substitute y = 0 in the equation and solve for x.

x = 6

Similarly, To find y - intercept, substitute x = 0 in the equation and solve for y.

y = 3

5 0
3 years ago
The account balance of each of three children at the end of a month is shown below:
xeze [42]

Answer:

A)  See attached.

B)  Cheryl owes the bank more.

Step-by-step explanation:

Given account balances:

  • John:  -$2.75
  • Cheryl:  -$3.00
  • Andrew:   $2.75

(Andrew has as much savings in his account as the amount John owes).

<h3><u>Part A</u></h3>
  • Draw a straight, horizontal line with arrows on both ends.
  • Place a tick in the center of the line and label it zero.
  • Draw 4 evenly spaced ticks either side of the zero.
  • Number the ticks to the right of the zero 1, 2, 3 and 4.
  • Number the ticks to the left of the zero -1, -2, -3, and -4.
  • Mark -2.75, -3 and 2.75 on the number line.
  • Label the marks with John, Cheryl and Andrew.

(See attached number line).

<h3><u>Part B</u></h3>

The <u>absolute value</u> of a number is its <u>positive numerical value</u>.

To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:

  • John:  |-2.75| = 2.75
  • Cheryl:  |-3.00| = 3.00

As 3.00 > 2.75, Cheryl owes the bank more.

8 0
1 year ago
Read 2 more answers
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