In the expression shown "p" represents a rational number.

4p
`what value of "p" makes the expression equal a number less than 4?

To graph the rational function f(x) = (3x - 1) / (x - 5), follow these steps. Find the vertical asymptote(s) by setting the denominator equal to zero and solving for x.

x - 5 = 0

x = 5

The vertical asymptote of the function is x = 5.

Step 1: Find the horizontal asymptote by comparing the degrees of the numerator and denominator polynomials. Since the degree of the numerator (3x - 1) is 1, and the degree of the denominator (x - 5) is also 1, the horizontal asymptote is given by the ratio of the leading coefficients:

Horizontal asymptote: y = 3/1

Horizontal asymptote: y = 3

Step 2: Find the x-intercept by setting the numerator equal to zero and solving for x:

3x - 1 = 0

3x = 1

x = 1/3

The x-intercept is (1/3, 0).

Step 3: Find the y-intercept by setting x to zero and evaluating the function:

f(0) = (3 * 0 - 1) / (0 - 5)

f(0) = -1 / -5

f(0) = 1/5

The y-intercept is (0, 1/5).

Step 4: Find additional points to sketch the graph. Choose some x-values around the vertical asymptote (x = 5) and calculate the corresponding y-values. For example, you can use x = 4, x = 6, and x = 8.

x = 4:

f(4) = (3 * 4 - 1) / (4 - 5)

= 11 / -1

= -11

x = 6:

f(6) = (3 * 6 - 1) / (6 - 5)

= 17 / 1

= 17

x = 8:

f(8) = (3 * 8 - 1) / (8 - 5)

= 23 / 3

≈ 7.67

Step 5: Plot the points obtained from Steps 2 to 5 and draw the graph. The graph should approach the horizontal asymptote (y = 3) as it approaches the vertical asymptote (x = 5).

The graph of the rational function f(x) = (3x - 1) / (x - 5) should look like this:

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Answer:

A. 15, 9, 3, -3, -9

Step-by-step explanation:

That's all I know, sorry

Answer:

See attached pdf

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

31x3=93

23+16=39

93-39=54

54 rounded to the nearest ten is 50 because the ones digit is less than 5

Answer:

It does not apply because if you divide say 3 yards by 3 you would get 1 not 9. You have to multiply the yards by three not divide.

Step-by-step explanation:

Answer:

1)m=-6     2)p=-25    3)n=13       4)x=1       5)n=-18      6)r=46       7)=-17      8)x=-30         9)n=49          10)a=33

Step-by-step explanation:

Answer:

$19.23

Step-by-step explanation:

First, add the prices of all 5 comics together. That should equal $17.63. The tax is 9% so that would be 1.5867 or $1.60. In total, Sami paid $19.23.

Answer:

It would be A

Step-by-step explanation:

Answer:

the numbers are -20 and 5

Step-by-step explanation:

The value of a = -20 and b = 5.

Let the numbers be a and b

a + b = -15 ...... i

a × b = -100 ....... ii

From equation i,

a = -15 - b ..... iii

Put equation iii into ii

a × b = -100

(-15 - b) × b = -100

-15b - b² = -100

-15b - b² + 100 = 0

b² + 15b - 100 = 0

b² + 20b - 5b - 100 = 0

b(b + 20) - 5(b + 20) = 0

b - 5 = 0

b = 0 + 5 = 5

a + b = -15

a + 5 = -15

a = -15 - 5

a = -20

Therefore, the value of a = -20 and b = 5.

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Answer:

1. True

2. False

3. False

4. True

5. False

Step-by-step explanation:

1. 7 = (-5) - (-12)

  7 = -5 + 12

  7 = 7

2. -5 - 12 = -17

   -5 - (-12) = 7

3. -12 - 5 = -17

   -5 - (-12) = 7

4. 7 = 7

5. -17 = 7

Answer: it help understand life better

Step-by-step explanation:

Answer: C) y=2^0.5x

Step-by-step explanation:

Trust me pls

Answer:

$3.45

Step-by-step explanation

$3.45 -> 3/4 lb ie (0.75 lb)

x -> 7.5 lb

therefore, x = 7.5 x 3.45/ 0.75

x = 34.5

it costs $3.45 for 7.5 lbs of walnut

$3.45

$3.45 -> 3/4 lb ie (0.75 lb)

x -> 7.5 lb

therefore, x = 7.5 x 3.45/ 0.75

x = 34.5

it costs $3.45 for 7.5 lbs of walnut

Answer:

solve for x

x=(-13/2-3y/2

solve for y

y= -13/2-2x/3

Step-by-step explanation:

hope its the answer you where looking for

Answer:

Um 90 miles lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because a negative minus a negative is the same as adding the two together :)

Answer:

8.5

Step-by-step explanation:

The opposite of -8 is 8.

\frac{1}{2}+8

Convert 8 to fraction \frac{16}{2}.

\frac{1}{2}+\frac{16}{2}

Since \frac{1}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.

\frac{1+16}{2}

Add 1 and 16 to get 17.

\frac{17}{2}

Answer:

the last one -13 -19 -21 -24

Step-by-step explanation:

Answer

-13,-19,-21-24,11,-12,15,-19,0,19,14,5,11

Answer:

the answer should be c

Step-by-step explanation:

Answer:

Simplify  -2+22  to  20

20<18

Since 20<18 is false, there is no solution.

Answer:

[tex]20 < 18 \\False[/tex]

Step-by-step explanation:

Add  − 2  and  22 . The left side  20  is not less than the right side  18 , which means that the given statement is false.

Hope this helps :)

Answer:

y = -1/2 is a horizontal line; a line with no slope. With that said, it is linear.

Step-by-step explanation:

Answer:

three basic methods of graphing linear functions.

The first is by plotting points and then drawing a line through the points.

The second is by using the y-intercept and slope.

The third is applying transformations to the identity function f(x)=x.

Answer:

B, The second table.

Step-by-step explanation:

If you rode a bike 0.1 Kilometers per minute, and you ride for 5 minutes, you would have biked 0.5 Kilometers, not 0.1 Kilometers.

Hope I helped! Please leave a rating and a comment! :)

Answer:

B

Step-by-step explanation:

you would multiply the y by 0.1 to get x and it would be the right rule.

Answer:

The answer is 25 cups of apple juice and 10 cups of sparkling water

Step-by-step explanation:

5+2=7, 35/7=5, so you must multiply each ingredient by 5

Answer:

175 cups of apple juice and 70 cups of sparkling juice

Step-by-step explanation:

Answer:

8 red marbles.

Step-by-step explanation:

The ratio is 3:2, blue to red. If there's 12 blue marbles and the first part of the ratio's 3, then:

12/3=4

Then you take the 4 and multiply it by 2, the second half of the ration to get 8.

And so, the answer's 8. If you divide 12:8 by 4 each you get your original ratio of 3:2, so that's your way to check.

Answer:

Train B

Step-by-step explanation:

because If you were to walk 300 miles that would be 6 hours or 5