What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)

Answers

Answer 1

Answer:

Vertical asymptote is at [tex]x=-3[/tex]

Step-by-step explanation:

Let us plot the function

Here

[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]

Function does not exits at [tex]x=-3[/tex]

Vertical asymptote is at [tex]x=-3[/tex]

What Is The Vertical Asymptote Of The Function F(x) = (x - 5)/(x ^ 2 - 2x - 15)

Related Questions

r (90 degree) (def) for d (0,5) e (-2,8) f(-3,-5)

Answers

Answer:

d'(5,0) e'(8,2) f(-5,3)

Step-by-step explanation:

When rotating 90 degrees clockwise you only flip the x,y coordinates and changes the x

Example- (4,5) would become (5,-4)

The following system of linear equations is solved by graphing them on the coordinate plane.

y=3x−2y=−35x−1

Which ordered pair is the best approximation of the solution to the system?


(0,−1)

(−1,0)

(−1,−1)

(1,1)

Math lol

Answers

Answer:

  (0, -1)

Step-by-step explanation:

Maybe you're graphing ...

y = 3x -2y = -3/5x -1

These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).

The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How many tractors should be produced to incur minimum cost?

Answers

Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

Types of Angle Relationships
Listen
Question
If two angles are supplementary, then the sum of their measures is _[blank] degrees.
Question
ol
What number correctly fills in the blank in the previous sentence?
Question
Enter your answer as a number, like this: 42
а

Answers

Answer: The answer is 180°.

Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.

Negative five times a number decreased by ten is negative twenty five

What is the equation

Answers

-5x-10=-25 not sure if it’s correct!!!!

35 devide 28 with decimals pls help ​

Answers

Answer:

1.25

Step-by-step explanation:

The answer in decimal is 1.25

35/28= 1.25

= 35 ÷ 28

by 1

=35 - 28 = 7

Introducing decimals

= 70 to 28

by 2

= 70 - 56 = 14

adding zero to 14

= 140 to 28

by 5

= 140 - 140 =0

the answer is 1.25

I did it this way through division hope you'll understand. All the best.

Concrete pour requires 9.83 cubic yards of cement. How many one cubic foot sacks must be order?

Answers

Answer:

  266

Step-by-step explanation:

There are (3 ft)^3 = 27 ft^3 in 1 cubic yard. Then 9.83 cubic yards will be ...

  (9.83 yd^3)(27 ft^3/yd^3) = 265.41 ft^3

265 sacks will not be enough. 266 sacks must be ordered.

(GIVING BRAINLIEST AND 15 POINTS FOR ANSWER) Solve five and three sixths minus two and one third.
Two and three eighteenths
two and two ninths
three and two ninths
three and three eighteenths

Answers

Answer:

three and three eighteenths

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

Question 2 of 10
What is the y-intercept of the line given by the equation y = 5x + 16?
Answer here
SUBNI

Answers

Hi!

This equation is written in ' y = mx + b ' form, where m is the slope, and b is the y-intercept.

Therefore, looking at this equation, we can see that 16 is the y-intercept.

Hope this helps! Let me know if you need any other help :D

Answer:

the y intercept is (0,16)

Step-by-step explanation:

In an equation like this y= 5x+16.  The number next to x would be the slope and the number after the x would be the y intercept.  

Need help a lot stuck

Answers

The answer is A

ok done. Thank to me :>

how do I do this problem?​

Answers

Answer:

Yes

Step-by-step explanation:

4 is greater then or equal to -6+5

4 is greater then -1 so the equation is true

Each of the following is a tip for saving EXCEPT:
A.
shop smart
B.
use credit cards
C.
pay yourself first
D.
focus on reaching a goal

Answers

A (good way to save money): If you shop smart, you can pick up amazing deals like BOGO's, 50% Off, 60 or even 70% off and yet you can still get so many brand that people enjoy

B (good way to save money): If you have a good credit card company, you can earn free rewards or even cheaper rewards for things that can cost large amounts

C (helps save lots of money): This is almost like paying another bill every month, where you set aside a certain amount every month for in the future like vacations or when you hit retirement. This could also be considered the answer because that could also bring to the lack of able to pay all bills needed

D (this is where I think the answer could be possible): Some people make "goals" of spending hundreds of dollars on shopping mall trips or goals of purchasing tons of things that want and can cost thousands of dollars, which is considered a waste of money

Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after that. Annalisa made 8 the first day and 12 each day after that.

Part A
Drag the numbers to complete the table below. Each number may be used once, more than once, or not at all.

8 12 32 40
Day Manolo Annalisa
1 16

2 28 20
3

32
Part B
Which of the following is a true statement about the relationship between the number of handbags made by Manolo and Annalisa after each day?

A.
Manolo has always made double the number of handbags made by Annalisa.

B.
Annalisa has always made double the number of handbags made by Manolo.

C.
Annalisa has always made 8 more handbags than Manolo.

D.
Manolo has always made 8 more handbags than Annalisa.

Answers

Answer:

b and c

that is is it

8 and 40 are the answers for the little chart and the other one is D.

Help help math pelsss please please

Answers

Answer:

162 the answer i think bye have fun

Step-by-step explanation:

this is long division… please help

Answers

Right to get 4 many times in the 834 than right the number on top but it can't be greater hope it helps ☺️

Subtract 8 feet from 9 yards, 1 foot.

7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot

Answers

Answer:

6 yards, 2 feet

Step-by-step explanation:

9yards and 1 ft - 8 feet= 6.66666667 yards

6.66666667 yards=6 yards, 2 feet

6 yards, 2 feet

hope it helps

help with this please

Answers

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

help please asappppppppp​

Answers

Answer:

First Equation: 6a-23

Second Equation: 5a-20

Step-by-step explanation:

So, I think you want me to answer part 2...

For the first equation, we can see that the denominator stays the exact same, meaning the numerator will also not change.

For the second equation, we can see the denominator changed from a-3 to 5a-15. The denominator was simply multiplied by 5. Since the denominator was multiplied by five we must multiply the numerator by five as well.

5(a-4)

5a-20

Hope this helps :)

free pointttttttttttttttttttts

Answers

yo mama is so fat

when she saw you she died from diabetes

i really need helpppppppppppppppppppppppppppppp

Answers

Answer:

it makes no sence

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Mean x¯¯¯ 7.25

Median x˜ 7

Mode 6

Range 12

Minimum 1

Maximum 13

Count n 16

Sum 116

Quartiles Quartiles:

Q1 --> 5

Q2 --> 7

Q3 --> 10

Interquartile

Range IQR 5

Outliers none

7.25 - 7 = 0.25

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

m = —1/3

Step-by-step explanation:

There are two clear points shown on the graph

point 1: (0;3)

point 2: (6;1)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{1 - 3}{6 - 0} [/tex]

[tex]m = - \frac{2}{6} [/tex]

[tex]m = - \frac{1}{3} [/tex]

3x+y=5
2x-y=0
Plsss help i need step by step plsss 9th grade

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

3x + y = 5

y = 5 - 3x

-----

2x - (5 - 3x) = 0

2x + 3x - 5 = 0

5x - 5 = 0

5x = 5

x = 1

-----

3(1) + y = 5

3 + y = 5

y = 2

Step-by-step explanation:

1. you add 3x to the other side to get y=-3x+5

2. then for the other equation you subtract 2x to the other side to get -1y=2x

3.then you divide by -1 to get y=2x

y=-3x+5 and y=2x

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters

Answers

Answer:

In a period of time of 24 hours...

Step-by-step explanation:

In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha

A six-sided number cube is rolled 500 times. The results are 280 even numbers and 220 odd numbers. How does the relative frequency of rolling an even number compare to the theoretical probability? Select from the drop-down menus to correctly complete the statements. The relative frequency of rolling an even number is Choose... the theoretical probability. The theoretical probability is Choose... and the relative frequency is Choose... .

Answers

Answer:

Choice B) experimental probability is larger

Step-by-step explanation:

There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5

When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65

Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.

Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.

Answer:

1: greater than

2: 0.5

3: 59%

Step-by-step explanation:

I took the test and here is da proof:

{I left it blank on purpose so other can see the right answer (: }

Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Answers

Answer:

1

Step-by-step explanation:

(f/g)(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression

= [tex]\frac{2(2)}{3(2)-2}[/tex]

= [tex]\frac{4}{6-2}[/tex]

= [tex]\frac{4}{4}[/tex]

= 1

please help

x-3=x^(2)-10x+25

Answers

Answer:

x=7,4

Step-by-step explanation:

Can anyone understand what this symbol is , I'm viewing scratch work to understand what to do with a problem but I can't understand what this is, is this cursive or something?​

Answers

Unfortunately no it’s not

112
121
124
137
147
156
173
189

Find the median revenue.

Answers

Answer:

142

Step-by-step explanation:

Median is the MID Number

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

at the vertex x = 4.5

Step-by-step explanation:

hope this helps! :)

Answer:

at the vertex x = 4.5

Step-by-step explanation:

Please help! What is the value of x?

Answers

Answer:

I think the bigger triangle is x2 of the smaller triangle so if the base is 20ft then the hight is 12

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