Consider the graph of rational function f

6
-6
-2
10
2
4
O
-2
Which equation represents function
A f(x)= 4/x-3
B f(x)= 4x+12/x^2 + x-6
C f(x)= 4/x+2
D f(x)= 4x-8/x^2 +x-6

Consider The Graph Of Rational Function F6-6-21024O-2Which Equation Represents FunctionA F(x)= 4/x-3B

Answers

Answer 1

Answer:

The answer should be D

Step-by-step explanation:

sorry if it's wrong, I just did this test the other day and I forgot if I got it right.

Answer 2

The rational function that is represented by the given graph is [tex]f(x) = \frac{4x - 8}{x^{2} +x-6}[/tex]

What is a polynomial function ?

Rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

We need to find out which  rational function is represented by this graph.

Firstly, we see that graph does not exist at x = -3 and x = 2.

Thus, (x+3) and (x-2) cannot be equal to 0.

(x + 3)(x - 2) = x² + x - 6

Thus, the denominator of the function is x² + x - 6.

So, our solution can be B. or D.

We can also see that there is a circle over the graph at x = 2. This means that f(x) is undefined at x = 2. It is possible only if f(x) = ∞/∞ or 0/0 at x = 2.

On putting the value of x = 2 in both B. and D., we find that in D. f(x) = 0/0 at x = 2.

[tex]f(2) = \frac{4*2 - 8}{4 + 2 - 6} = \frac{0}{0}[/tex]

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Related Questions

Jamarie makes a decorative bookmark of size 2" x 6" for his teacher. Find the
area of the bookmark. *

Answers

Answer:area is 12

Step-by-step explanation:

Jaylen is picking berries. The number of blueberries he picks is 4 less than half the number of strawberries he picks. If Jaylen picks x strawberries, select the expression that represents the number of blueberries he picks.

A. 2x + 4

B. x/4 +2

C. x/2 - 4

D. x/2 +4​

Answers

The answer is:
C. x/2-4

Hope this helps!!

The expression that represents the number of blueberries he picks would be; 1/2x - 4

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that  the number of blueberries he picks is 4 less than half the number of strawberries he picks.

4 less than half the number of strawberries means;

1/2x - 4

If Jaylen picks x strawberries, then the expression that represents the number of blueberries he picks would be;

1/2x - 4

The correct option is C.

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Which fruit stand, A or B, offers a better deal on blueberries

Answers

Answer:

Step-by-step explanation:

Answer:BStep-by-step explanation:B cost less money bet has the same

At birthday Party girls ate 7 3/4
pizzas and the boys ate 2 1/2 pizzas. How many pizzas were eaten at my party?

Answers

Answer:

10 1/4

Step-by-step explanation:

2 1/2 = 5/2

5/2 (2/2)= 10/4

7 3/4 = 31/4

10/4+31/4=41/4

41/4 = 10 1/4

James bought a cak that had 1, 890 calories for 9 servings. What is the calories per serving the cake ?

Answers

Answer:

210 calories per serving

Step-by-step explanation:

Divide 1,890 by 9you will get 210so the calories per serving of the cake is 210

I need help I never got taught how to do this

Answers

Answer:

736cm²

Step-by-step explanation:

The surface area of a regular pyramid is equal to:

area of the square base + 1/2ps

where p is the perimeter of the base and

s is the height of the slant line of the pyramid.

In your drawing s = 15cm and the base has four equal lengths of 16cm

So first find the area of the base.  Since this is a square, the area is just the

length x the width or 16cm x 16cm = 256cm²

(p) is the perimeter of the base.  Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm  or  4 x 16cm which is 64cm.

You already were given (s) which is the height of the slanted side from the base to the pointed top.  The drawing gives you this as 15cm.

So plugging all this into the formula, you get:

Surface Area = Area of Base + 1/2 p s

                      =  256 cm² + [1/2 ( 64cm )(15cm)]

                      =  256 cm²  +  {1/2 ( 960 cm²)]

                      =  256 cm²  +  480 cm²

                      =  736 cm²

35 more than twice the number is 65. Find the number.

Answers

Answer: 15

Step-by-step explanation:

2x + 35 = 65

2x = 30

x = 15

A rectangular water tank has the following dimension:
Length = 3 feet, Width = 2 feet, Height = 2.5 feet. Find the amount of water it can hold in cubic centimeter.

Answers

Answer:

424,752.7 cm³

Step-by-step explanation:

Since you need to convert from English units to Metric units, you can do that first.

Convert each measurement to centimeters instead of feet since your final answer is in cubic centimeters.

1 foot = 30.48 centimeters

Length = 3 ft    30.48cm

              -----  x ------------    =  91.44 cm

                1            1 ft

Width =  2 ft       30.48cm

            -------  x  -------------  =   60.96 cm

                1             1 ft

Height = 2.5 ft      30.48cm

              --------  x  ------------  =  76.2 cm

                  1            1 ft

The volume is equal to L x W x H

91.44cm x 60.96cm x 76.2cm = 424,752.7 cubic centimeters

Tara has 3 over 4 cup of ice cream. How many 1 over 5-cup servings are in 3 over 4 cup of ice cream?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Tara has :

[tex] \dfrac{3}{4} \: \: cup \: \: of \: \: ice \: cream[/tex]

Each servings :

[tex] \dfrac{1}{5} [/tex]

Total number of servings is equal to :

[tex] \dfrac{3}{4} \div \dfrac{1}{5} [/tex]

[tex] \dfrac{3}{4} \times 5[/tex]

[tex] \dfrac{15}{4} [/tex]

[tex]3 \dfrac{3}{4} [/tex]

Step-by-step explanation:

Tara has ¾ cup of icecream

Each serving:

= ⅕

Total no. of servings

= ¾ ÷ ⅕

= ¾×5

= 15/4

= 3¾ or 3.75

What is 33.61111111 in fraction form

Answers

The correct answer is:   " [tex]\frac{33,611}{1,000}[/tex] " .

____________________

Step-by-step explanation:

Based on the assumption that the "1" repeats infinitely; in the given value:

  " 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point;  this goes to the "thousandths";  

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

_______

" [tex]\frac{33.611}{1}[/tex] " ;  

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

  →  " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;

to get:

  →  " [tex]\frac{33611}{1000}[/tex] " ;  →  which cannot be reduced any further.

_______

The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .

_______

Hope this is helpful to you!

 Wishing you the best!

_______

What is the correct number form for “seven and eighty-three thousandths?”
7.083
7.83
7.803
7.830

Answers

Answer:

7.083

Step-by-step explanation:

well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D

7.830 is the correct answer for that question

Javier reads 40 pages every hour, how many pages does Javier reads in 2.25 hours?

Answers

Answer:

Javier reads 90 pages in 2.25 hours.

Step-by-step explanation:

# of pages read every hour: 40 pages.

# of hours in total: 2.25 hours.

Multiply the number of pages he can reads every hour (40 pages) by the number of hours in total.

40 x 2.25 = ?

The Product is your answer;

? = 90

Hope this helps :)

Convert 34.6 centimeters to inches. Use 1 in=2.54 cm.

Answers

13.6220472441 inches.

An entry level technical writer's annual pay is $53,768 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease?

Answers

Answer:

im not too sure

Step-by-step explanation:

I think it is £1068 but I’m not sure

Which expression represents, five times the quotient of two numbers?
A. 5+rt
B. 5%r/t
C. r/5t
D. 5(r/t)
PLZ HELP

Answers

Answer:

Five times the quotient of two numbers

5*( r/t)

Step-by-step explanation:

5 times the qoutient of 2 numbers is 5+rt

What is the value of 5^3i^9?
A. -125i
B. -15i
C. 15i
D. 125i

Answers

Answer:

125i

Step-by-step explanation:

(5^3)(i^9)

=125(i^9)

=125i <-------????

Sorry not sure <:0

Let U be the set of whole numbers from 5-10 inclusive. Set A= {5, 7, 9}, Set B = {5, 8, 10}. AU~B <---------

Answers

Answer:

Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...

Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...

Please Help me!! (No Links Please) HELP!!!

Answers

Answer:D

Step-by-step explanation:

A is not Linear

B is not Linear

C is not Linear

simplify the expression shown

A:-xy+3y
B:xy+3y
C:-xy-3y
D:xy-3y​

Answers

Answer:

C:-xy-3y is the answer your welcome

What is the Gcf of 225 and 415

Answers

Answer:

5

Step-by-step explanation:

To get the Greates Common Factor (GCF) of 225 and 415 we need to factor each value first and then we choose all the copies of factors and multiply them:

225:    3 3 5 5  

415:        5   83

GCF:        5    

The Greates Common Factor (GCF) is:   5

Answer:

5

Step-by-step explanation:

The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225

The factors of 415 are: 1, 5, 83, 415

Then the greatest common factor is 5.

Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?

Answers

Answer: 3552

Step-by-step explanation:

888 times 4

Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?

Answers

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

environmental factors that affect the agricultural productions note​

Answers

climatic factors such as light, water, and rainfall, temperature, air, relative humidity and wind also affect farming in various ways. Just like other abiotic elements of environmental factors such as soil and topography, they influence how crops grow and develop.

the environmental factors that affect the agricultural production is human activities such as pollution, climatic factors and so on

Me.Ramirez divid 12 frogs

Answers

Answer: my last names Ramirez!

Step-by-step explanation:

GE bisects angle DGF , m angle DGE = 53º. Find m angle DGF.

M angle DGF

Answers

Answer:

4.5 degres

Step-by-step explanation:

Solve the equation x - 2y = 1, for y

Answers

Answer:

[tex]\displaystyle y = \frac{x - 1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle x - 2y = 1[/tex]

Step 2: Solve for y

[Subtraction Property of Equality] Subtract x on both sides:                        [tex]\displaystyle -2y = 1 - x[/tex][Division Property of Equality] Divide -2 on both sides:                                [tex]\displaystyle y = \frac{1 - x}{-2}[/tex]Rewrite:                                                                                                             [tex]\displaystyle y = \frac{x - 1}{2}[/tex]

Please help help help

Find the value of x if the two triangles are similar. Explain.

Answers

Given :

The given two triangles are similar .

To find :-

The value of x .

Solution :

In larger triangle :-

90 + y + y = 180

2y = 180 - 90

2y = 90

y = 45°

As we know that ,

Corresponding Angles of similar triangles are same ,

15x = 45

x = 45/15

x = 3

What is the graph of y <= 5x + 2?

Answers

Here is the graph! Hopes this helped

Does this equation have exactly one solution ​

Answers

Answer:

[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]

An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?

Answers

I think it’s 25 km through the air
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