Rewrite the rational function g(x) =x-9/x in the form g(x) = c+ r/x, where c and r are constants.

Answers

Answer 1

Answer:

g(x) = 1 - 9/x

Step-by-step explanation:

Given the rational function g(x) =(x-9)/x, we are to express in the form g(x) = c+ r/x, where c and r are constants.

g(x) = (x-9)/x

Expressing as partial fraction since they have the same denominator

g(x) = x/x - 9/x

Since x/x = 1, hence;

g(x) = 1 - 9/x

Comparing with g(x) = c+ r/x, c= 1 and r = -9

Hence the equivalent expression is g(x) = 1 - 9/x


Related Questions

Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1

Answers

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm

(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3

Answers

Answer:

Volume = 2,258.67 cm³

Step-by-step explanation:

Volume of the object = volume of hemisphere + volume of cylinder

= ⅔πr³ +πr²h

Where,

π = 22/7

r = 7 cm

h = 10 cm

Volume = (⅔*22/7*7³) + (22/7*7²*10)

Volume = 2,258.67 cm³

Perform the operation
(10x² – x + 1) – (9x – 2)
Help ASAP please

Answers

Answer:

10x^2-10x+3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!


3. A principal orders 2,592 pencils. She gives an equal amount to each of
the 24 teachers. How many pencils does each teacher receive?

Answers

Each teacher should receive 108 pencils

WHAT IS (3/4 - 1/3) divided by 1 2/3

Answers

Answer:

1/4

Step-by-step explanation:

3/4*3=9/12

1/3*4=4/12

9/12-4/12=5/12

 5/12*3/5=15/60

15/60=1/4 Simplified

write an equation of the line that passes through the two given points: (-5, -5) and (1,-3)

Answers

Answer:

slope-intercept formula ----->  Y2-Y1/X2-X1

Step-by-step explanation:

X1= -5    X2= 1

Y1= -5     Y2= -3

-3+5/1+5=1/3

Solve for x. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA

cos(37) = 48/x

x = 60.1

Pleaseeee help answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1080°

General Formulas and Concepts:

Math

Counting

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)°

Step-by-step explanation:

Step 1: Define

We are given a 8 sided polygon (a octagon)

n = 8

Step 2: Find Sum

Substitute in n [Sum of Angles]:                                                                    180(8 - 2)°(Parenthesis) Subtract:                                                                                   180(6)°Multiply:                                                                                                           1080°

Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x - x + 6 = 0

Answers

Answer:

3x-x+6=0

2x+6=0

2x=-6

x= -6/2

x=. -4

The area of triangle xyz is 35 cm. the height is 10cm. what is the base of the triangle?

Answers

Area of Triangle=1/2(h x b)
35=1/2(10 x b)
35=5 x b
35=5b
7cm=b is the base of the triangle

Answer:

Base of the triangle = 7 cm

Step-by-step explanation:

Given information,

→ Area of triangle = 35 cm

→ Height = 10 cm

Now we have to,

→ Find the base of the triangle.

Formula we use,

→ Area = ½ × b × h

Forming the equation,

→ (1/2) × b × 10 = 35

Then the value of b will be,

→ (1/2) × b × 10 = 35

→ (b × 10)/2 = 35

→ 10b/2 = 35

→ 10b = 35 × 2

→ 10b = 70

→ b = 70/10

→ [ b = 7 cm ]

Hence, the value of b is 7 cm.

( iready math ) Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries. What is the ratio of tablespoons of raspberries to tablespoons of sugar?

8 to 14
8 to 6
6 to 14
6 to 8

Answers

Answer:

8 to 6

Step-by-step explanation:

The question is asking what is the ratio of "tablespoons of raspberries" TO ratio of "tablespoons of sugars".

= 8 tablespoons of raspberries TO 6 tablespoons of sugar

= 8 (tablespoons of raspberries) TO 6 (tablespoons of sugar)

= 8 TO 6

The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.

Calculation of the ratio:

Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.

So here the ration be like

= 8 raspberries tablespoons to 6 tablespoons of sugar

= 8 to 6

hence, the second option is correct.

Learn more about ratio here: https://brainly.com/question/17642715

The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.

Answers

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago

Answers

800 miles
1 inch equal 200 miles

Haille used a birthday check her mother gave her to start her savings account.Sheplans to save $25per month at well. After 9 months,Hailsham $300.

Answers

Answer:

yet

Step-by-step explanation:

ya im sorry i don't know

21x just a random number

18. Find the value of x to
make the following equation
true.
(3^2)^3 x 3^x = 3^7 x 3^3/ 3^11

Answers

Step-by-step explanation:

(3²)³ × 3^x = 3⁷ × 3³/3¹¹

3⁶ × 3^x = 3¹⁰/3¹¹

3⁶ × 3^x = 3^-1

3^x = 3^-1 / 3⁶

3^x = 3^-1 × 3^-6

3^x = 3^-7

x = -7

Hope I did this right: x=-7!

A circular dining room table has a radius of 3 feet of each person sitting at the table needs about 2 feet of space, how many people will fit at the table

Answers

Answer:

need to find the area of the circular dining room table which has a radius of 3 feet of each person sitting at the table needs about 2 feet of space how many people will fit at the table 3 feet of each person sitting at table needs about two feet of space than about five people will fit at the table

Calculate the rate of interest if principle is 6000 time is two years and interest 3000

Answers

Answer:

We conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Step-by-step explanation:

Given

Principle P = 6000

Time period t = 2 years

Interest I = 3000

To determine

Interest rate r = ?

Using the formula

I = Prt

r = I / Pt

substituting P = 6000 , t = 2, and  I = 3000

r = 3000 / ( 6000 × 2 )

r =  3000 / 12000

r = 0.25

convering the decimal into percentage: 0.25×100 = 25%

r = 25%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

i need help with 9th grade work

Answers

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

can someone explain how i find the missing angle on this thing

Answers

Answer:

70°

Step-by-step explanation:

a + 90 + 20 = 180      {Angles in straight line}

       a + 110 = 180

             a = 180 - 110

            a = 70

Two years ago a man was five times as old as his son. Two years later his age will be eight more than three times as old as his son . Find there present age

Answers

Answer:

The age of man is 42 years and the age of his son is 10 years.

Answer: Father 42 and son 10

Let the age of the father is x years and that of the son is y years.

Then by the given question,

x-2=5(y-2)

or, x-5y=-10+2

or, x-5y=-8

or, x=5y-8

x+2=3(y+2)+8

or, x-3y=6+8-2

or, 5y-8-3y=12

or, 2y=12+8

or, y=20/2

or, y=10

then x=5y-8=50-8=42

Then, the age of father is 42 yrs. and the age of sun is 10 yrs.

A triangle has two side of length 3 and 7. The third side of this triangle must not be shorter than (blank) or longer than (blank)

Answers

Answer:

The sum of two side lengths of a triangle must be greater than the length of the third.

So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.

However, it cannot be shorter than 4 units, as 3 + 4 = 7.

So your answer is: The third side of this triangle must not be shorter than 4 or longer than 10

Let me know if this helps!

John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation

Answers

Answer:

can some one give the answer

Step-by-step explanation:

pls

What is the value of y? A. 57 B. 33 C. 66 D. 114

Answers

Answer:

57

Step-by-step explanation:

a pec

Option A is correct, the value of y is 57 degrees in the triangle.

We have to find the value of y in the given triangle.

Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.

We know the straight line has an angle of 180 degrees

114+x=180

x=66 degrees.

By angle sum property the sum of three angles is 180 degrees.

66+y+y=180

66+2y=180

Subtract 66 from both sides:

2y=180-66

2y=114

Divide both sides by 2:

y=57 degrees

Hence, the value of y is 57 degrees in the triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ7

please find h and a​

Answers

Answer:

h=12 + c=20

Step-by-step explanation:

a^2+b^2=c^2

9^2+h^2=15^2

15^2-9^2=h^2

225-81=h^2

144=h^2

[tex]\sqrt{144}[/tex] = h

12=h

a^2+b^2=c^2

16^2 + 12^2 = c^2

256+144=c^2

400=c^2

[tex]\sqrt{400}[/tex] = c

20=c

Nine is 15% of what number

Answers

Answer:

60

Step-by-step explanation:

9/15 = 0.6

0.6 x 100 = 60

Answer:

60

Step-by-step explanation:

Let x be the number

15/100 * x  =  9

multiply by 100

15x = 900              Divide by 15

x = 900/15

x =  60

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPpp

Answers

Answer:

12-2=10

Step-by-step explanation:

Your welcome! :D

Which 01 the following options best describes the zeros of the quadratic function above?
0) Imaginary zeros
() 2 real zeros
1 real zero and 1 Imaginary zero
f 1 real zero

Answers

Answer:

Option (1)

Step-by-step explanation:

Vertex form of the quadratic equation is given by,

y = (x - h)² + k

Where (h, k) is the vertex.

From the graph attached,

Vertex of the parabola is (0, 4).

Therefore, equation of the parabola will be,

y = (x - 0)² + 4

y = x² + 4

Function representing the parabola will be,

f(x) = x² + 4

For the zeros of the quadratic function we find the value of x where f(x) = 0.

x² + 4 = 0

x² = -4

x = ±√(-4)

Since, square root of a negative number is not defined, zeros of the function will be imaginary.

Therefore, both the zeros will be imaginary.

It's clear from the graph, there are no x intercepts of the function Or zeros are imaginary.

Option (1) will be the answer.

Please help me with thisss

Answers

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

y= - 1 / 4 x + 8
its for math 8 thanks yall :)

Answers

Answer:

[tex]x =-4y+32[/tex]

Step-by-step explanation:

Calculations:

[tex]y=-\frac{1}{4} x+8[/tex]

[tex]y-8=-\frac{1}{4}x[/tex]

[tex]x =-4y+32[/tex]

Frank is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Frank will need to
buy. Which is the dependent quantity?
O b= how many boxes of candles Frank will buy
O a = Grandmother's age in years

Answers

I’m pretty sure it’s b because it’s dependent on your answer

Answer:

I believe A because the grandmothers age affects how many boxs of candles Frank will buy. Hope this helps

Step-by-step explanation:

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