What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer 1

Answer:

Given function f(x) = x + 2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)

Step-by-step explanation:

Given function

               [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

let       [tex]y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

    The Factor [tex]x^{2} - 3 x - 10[/tex]

                     x ² - 5 x + 2 x - 10

                  x ( x -5) + 2 (x-5)

         [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2[/tex]

              y = x +2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)


Related Questions

x/3 +2y/3= -1 and x-y/3=9 solve. by elimination method​

Answers

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

need help asap Polygon ABCD has the following vertices: A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4) Calculate the area of the polygon.

Answers

68 is the area of the given polygon

Which word describes a triangle with three angles, if each angle measures less than 90°?

Answers

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

What increase the probability of something happening?

Answers

Answer:

Repeating the activity or just waiting for it to happen.

Step-by-step explanation:

I did not really understand but I tried my best.

What is the value of x?

Answers

The line is 7 units long. Add the two equations together and set equal to 7:

7x-1 + 2x-1 = 7

Combine like terms:

9x-2= 7

Add 2 to both sides:

9x= 9

Divide both sides by 9:

X= 1

Answer:

For 2x -1, X = 3 (2 x 3 = 6 - 1 = 5)

For 7x -1, X = 1/7 or 0.142857.

Step-by-step explanation:

how do we calculate on sixth of 42​

Answers

Answer:

1/6 of 42:

first, of is the same as multiplication so change this:

1/6 * 42

put 42 over 1 so they are both fractions:

1/6 * 42/1

Now solve:

42/6

= 7

:) brainliest?

(if u meant the sixth root of 42, it's about 1.86)

Answer:

7

Step-by-step explanation:

42/6=7

HELP PLEASE. THIS IS ABOUT FUNCTIONS ! EXPLANATION NEEDED PLEASE

Answers

Answer:

B

Step-by-step explanation:

Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2

The graph is increasing when it is going upwards, or has a slope greater than 0

We can see that happening in two places in the function, which are the intervals of the x coordinate in B

Answer:

B

Step-by-step explanation:

The function is increasing - 4 < x < - 2 and 0 < x < 2 and has a slope greater than 0, and it's happening at 2 places on the graph, so it's B

Hope this helps!

9(2a – b)2 – 4(2a – b) – 13

Answers

18(2a-b)-4(2a-b)-13
=36a-18b-8a+4b-13
Rearrange
=36a-8a-18b+4b-13
=28a-14b-13

Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?

Answers

Answer:

he reeled in 16 times

Step-by-step explanation:

time she reeled in 10 feet of line, the fish would take out 5 feet. How many times she have to reel in to get the fish to the boat? See answers (1) ... Or, you can just switch to normal browsing

PLEASE HELP QUICKLY!!!!!!!
Penelope and Georgia are each saving money to take a vacation. Penelope started with $710 and saved $25 each week. Georgia opened her account with $570 and saved $45 each week. In how many weeks will they have the same amount of money? Group of answer choices 7 weeks 8 weeks 13 weeks 14 weeks

Answers

Answer:

8 weeks

Step-by-step explanation:

The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?

Answers

Answer:

{y: y = –7, –2, 3, 8}

Step-by-step explanation:

You find the lowest y number and the highest y number and that’s your range

Grace orders groceries worth $49.65. About how much should she spend for 12% home delivery charges?

Answers

Answer:

$5.96

Step-by-step explanation:

To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.

Need help with question B asap pls will give brainiest and high points

Answers

Answer:

x = 16

Step-by-step explanation:

(b)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{CB}{DE}[/tex] = [tex]\frac{AC}{AD}[/tex] , substitute values

[tex]\frac{x}{20}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 160 ( divide both sides by 10 )

x = 16

mid point of (9,2) and (-7,-9)

Answers

Y-2 =11/16 times (x-9)

Type the integer that makes the following addition sentence true:


+ 83 = 19

Answers

Answer:

The answer is: -64

Step-by-step explanation:

To get the answer of -64, you would have to subtract. To subtract you would use this equation: 19 - 83. This would get you -64. To double check your answer, you would add -64 + 19 to make sure your answer is 83.

I would appreciate if you mark me as brainliest! :D

Math help please! What are the possible solutions to this system?

Answers

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

3a² . 2a³ find the product


Answers

Answer:

[tex]6a^{5}[/tex].

Step-by-step explanation:

To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:

3 · 2 = 6.

When multiplying exponents, however, remember that you must ADD the exponents. Therefore:

3a² · 2a³ = [tex]6a^{5}[/tex]

Can u guys PLEASE answer this question ASAP. A line passes through the point (2,4) and has a gradient 2. Find the y-coordinate of the point on the line when x=3

Answers

y=2

Step-by-step explanation:

Make an equation of straight line by using the formula :y= mx+c

put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:

y=2x +c

So you need to find the y-intercept to complete the equation, therefore:

when y=0,

0=2(2)+c

c=-4

next the question ask to find the y-coordinate when x =3, therefore you just need to replace x in the equation with 3:

y=2(3)-4

y=4

the first car costs $90 to rent, and because of its fuel consumption rate, there’s an additional cost of $0.50 per kilometers driven. How much is it for 500 kilometers

Answers

Answer:

It would be $340 (with rental cost)

Without the rental cost it would be $250

Step-by-step explanation:

You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.

Equation: 90 + .05k

k= kilometers

Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume

Answers

Answer:

120*60=7200

(sorry if i gave u a answer that's not up there or if i get this wrong for you)

15 points!!! Imma mark you brainliest too!! Please help

Meera bought two cows for $10000. If she sold one at the loss of 30% and other at the profit of 30% and she figures out that she sold them for the same price, Find the percentage of profit or loss in whole transaction!!!

Answers

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

find the number missing from the following equivalent fractions: 9/15= ?/60

Answers

to get the equivalent fraction you have to find the common denominator. in this case 60 divided by 15 which would equal to 4. The you would multiply 9 by 4 to get the answer which would be 36. the final answer would be 9/15=36/60

Answer:

36/60

Step-by-step explanation:

Divide the larger denominator with the smaller denominator.

60/15 = 4

Use this number and multiply this to the numerator to get the unknown.

4*9=36

What is the equation in slope-intercept form of the line?

Answers

Answer:

y = 1x - 500

Step-by-step explanation:

b is were the line crosses the y axis so its -500

and to find slope you do -200-(-400) over 300-100 and it equals 1

hope this helps:)

What is the correct formula for calculating a 3 x 3 determinant?
a)abc+def+ghi-adg-beh-cfi
b)adg+beh+cfh-abc-beh-cfi
c)aei+bfg+cdh-gec-hfa-idb

Answers

Answer:

C

Step-by-step explanation:

just did it on edge


Carter has 123 songs on a playlist. He's categorized them in the following manner: 11 gospel, 25 country, 21 blues, 6 folk, 16 pop. 14 jazz.
and 30 rock. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a gospel song? Express
your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plsssss help

Answers

Answer:

11/123

Step-by-step explanation:

P( gospel) = number of gospel songs/ total

                 = 11/123

i need help plzzzzzzzzzzzz

Answers

Answer:

Fraction : [tex]\frac{3}{10}[/tex]

Decimal = 0.3

Percent = 30%

Answer:

Fraction: 3/10

Decimal: 0.3

Percent: 30%

Step-by-step explanation:

3/10 are shaded blue

0.3 is shaded blue

30% is shaded blue

Bryan's monthly Netflix subscription costs $10. If he charges it
to his credit card each month for 5 months without making any
payments, what will his debt be?

Answers

Answer:

$50

Step-by-step explanation:

If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.

What is the correct formula for calculating a 3 x 3 determinant?

Answers

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

find the volume of this prism

Answers

Answer:

840cm^2

Step-by-step explanation:

Volume: Area of cross section x length

Area of cross section:(15 x 8 + 4x 5 )

length: 6

So volume:

(15 x 8 + 4x 5 ) x 6 = 120 + 20 X 6 = 140x6 = 840cm^2.

Hope this helps.

Good Luck

Please help! Sarah’s dogs:
Create frequency tables to represent the morning and afternoon dogs as two sets of data. Group the weights into classes that range 10 pounds. (Table is in second attachment)

Answers

Answer:

For Sarah's dogs, we have:

Morning:

39, 21, 12, 27, 23, 19, 19, 31, 36, 25

if the ranges are:

A) 10 pounds to 19 pounds: here we have the dog of 12, and two dogs of 19.

B) 20 to 29: one of 21 pounds, one of 27, one of 23 and one of 25, so here we have 4 dogs.

C) 30 to 39. here we have the left 3 dogs.

then the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\10to19&3\\20to29&4\\30to39&3\end{array}\right][/tex]

For the afternoon, the weights of the dogs are:

15, 51, 8, 16, 43, 34, 27, 11, 8, 39

So the ranges:

0 to 9: here we have two dogs of 8.

10 to 19: 3 dogs, 15, 16 and 11.

20 to 29: 1 dog of 27

30 to 39: 2 dogs of 34 and 39

40 to 49: one dog of 43

50 to 59: one dog of 51.

the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\0to9&2\\10to19&3\\20to29&1\\30to39&2\\40to49&1\\50to59&1\end{array}\right][/tex]

Answer:

No hate but Facundo your answer is so complicated

Step-by-step explanation:

what numbers does a,b,c represent and you have two tables but after abc I just don't understand can someone please help me?!? Thanks for answering it though.

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