Find the functional values of r(0), r(3) and r(-3) for the rational function.

Find The Functional Values Of R(0), R(3) And R(-3) For The Rational Function.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given function is,

[tex]r(x)=\frac{3x^3-7}{x^2-6x+9}[/tex]

For x = 0, substitute the value of x in the given function.

[tex]r(0)=\frac{3(0)^3-7}{(0)^2-6(0)+9}[/tex]

[tex]r(0)=\frac{-7}{9}[/tex]

For r = 3,

[tex]r(3)=\frac{3(3)^3-7}{(3)^2-6(3)+9}[/tex]

[tex]r(3)=\frac{81-7}{9-18+9}[/tex]

      [tex]=\frac{74}{(9-18+9)}[/tex]

      [tex]=\frac{74}{0}[/tex]

Function is undefined at x = 3.

For x = -3,

[tex]r(-3)=\frac{3(-3)^3-7}{(-3)^2-6(-3)+9}[/tex]

         [tex]=\frac{-81-7}{9+18+9}[/tex]

         [tex]=\frac{-88}{36}[/tex]

         [tex]=-\frac{22}{9}[/tex]      


Related Questions

In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.

Answers

Answer:

12% percent of fish in own

The % of people surveyed own fish is 12%.

To find the % of people surveyed own fish.

What is relative frequency?

Relative frequency refers to the percentage or proportion of times that a given value occurs within a set of numbers, such as in the data recorded for a variable in a survey data set.

Given that:

In a survey conducted at a pet store, 150 customers were asked if they owned birds or fish.

By the data on the table:

Total (own fish) = 0.04 + 0.08 = 0.12

So, own fish = 0.12

=12/100= 12%

So, 12% of the people surveyed own fish.

Learn more about relative frequency here:

https://brainly.com/question/24263545

#SPJ2

5x + 2y + 19 = 0 3x + 4y + 17 = 0​

Answers

Answer:

x = -3; y = 2

Step-by-step explanation:

5x + 2y + 19 = 0

3x + 4y + 17 = 0​

-10x - 4y - 38 = 0

3x + 4y + 17 = 0

-7x - 21 = 0

x = -3

5(-3) + 2y = -19

2y = -4

y = -2

Answer: x = -3; y = 2

If ‘BOXES’ is OBXSE, then BOARD is

Answers

9514 1404 393

Answer:

  OBADR

Step-by-step explanation:

The first two letters are swapped, and the last two letters are swapped.

  BOARD . . . becomes

  OBADR

A newsletter publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

Answers

The advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%

Select the correct answer.plz answer fast due at 11:59
What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

A. x=4/13

B. x=13/4

C. x=4/21

D. x=21/4

Answers

Question: -4 + 5x -7 = 10 + 3x -2x

⇒ 5x -11 = 10 + x

⇒ 5x - x = 10+11

⇒ 4x = 21

⇒ x = 21/4

Answer is Option D

x = 21/4

Must click thanks and mark brainliest

Five subtracted from seven times a number is 9. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.

The equation is _____________


B) Solve your equation in part [A] for
Answer:
x=

Answers

Answer:

18

Step-by-step explanation:

7-5=2

2x9=18

7x2=14

14-5=9

9=7n-5

9=7n-5
9=7(2)-5
9=14-5
9=9

I could be wrong an misunderstood the entire thing, however I can reassure you 18 is not the answer as the question states “Five subtracted from seven times a number is 9”, therefore the final answer in part A) needs to equal 9.

7m = 49 solve the equation by trial and error method​

Answers

Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.

Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,

So we check, [tex]7\cdot6=42[/tex] but [tex]35\lt49[/tex] which means m must be bigger.

So we pick m to be 8 and check, [tex]7\cdot8=56[/tex] but [tex]56\gt49[/tex] which means m must be smaller.

Since only natural number between 6 and 8 is 7 we pick m to be 7 and check, [tex]7\cdot7=49[/tex] and [tex]49=49[/tex].

The answer is therefore 7.

Hope this helps :)

what song goes whoooooo Iiiiii smoooooooooke ​

Answers

Answer:

Lol yu lateee das "who i smoke by yung ace"

Step-by-step explanation:

Answer:

woogle said woo hoo  by rock a teens

Step-by-step explanation:

Solve the inequality: |4w – 2|-6>8 PLEASE HELP

Answers

Hi ;-)

[tex]|4w-2|-6>8 \ \ /+6\\\\|4w-2|>14\\\\4w-2>14 \ \text{or} \ 4w-2<-14\\\\4w>14+2 \ \text{or} \ 4w<-14+2\\\\4w>16 \ /:4 \ \text{or} \ 4w<-12 \ \ /:4\\\\\huge\boxed{w>4 \ \text{or} \ w<-3}[/tex]

Answer:

[tex] |4w - 2| - 6 > 8 \\ |4w - 2| > 8 + 6 \\ |4w - 2| > 14 \\ remove \: mode \\ then \: two \: possibilities \\ 4w - 2 > 14 \: or \: 4w - 2 > - 14 \\ 4w > 14 + 2 \: or \: 4w > - 14 + 2 \\ 4w > 16 \: or \: 4w > - 12 \\ w > 4 \: or \: w > - 3 \\ then \: option \: (1) \\ thank \: you[/tex]

14 a and b please help

Answers

Step-by-step explanation:

14a. One method is two solve for x. Edit: I accidentally press sent. Repost the question and I'll answer it.

What is the x-coordinate of the point of intersection for the two lines below?
-6 + 8y = -6
7x -10y = 9

Answer choices
1.) -6
2.) -3
3.) 3
4.) 7

Answers

Answer:

c.

Step-by-step explanation:

Question 8 of 10
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x).
A. 4X2 + 1
B. 4x2 + 4x2
C. 4(x+1)
D. 4x(x)
SURVIT

Answers

Answer:

option c is the answer for your question

Consider the value of t such that 0.01 of the area under the curve is to the right of t. Assuming the degrees of freedom equals 27, determine the t value. Round your answer to three decimal places.

Answers

To be honest,, I don’t know his but round your answer to three decimal places might get.

….

.01

The t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).

To determine the t-value such that 0.01 of the area under the curve is to the right of it, we need to use a t-distribution table or a statistical software.

The t-distribution is characterized by its degrees of freedom, which in this case is given as 27.

To find the t-value corresponding to an upper tail probability of 0.01, we need to locate the critical value in the t-distribution table.

Since we're looking for the right tail, we want to find the t-value that corresponds to a cumulative probability of 1 - 0.01 = 0.99.

Let's denote this critical value as t(critical).

Using the t-distribution table or a statistical software, we find that the t-value for a cumulative probability of 0.99 with 27 degrees of freedom is approximately 2.797.

Therefore, the t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).

Learn more about t-distribution click;

https://brainly.com/question/32675925

#SPJ4

C = qt - k
(Make k the subject using transportation)

V = u + at

(Make u the subject using transportation)

Answers

Answer:

C - qt = -k

k = - C + qt

V = u + at

V - at = u

u = V - at

Answer:

c=qt-k

c-qt= -k

c-qt/-1=-k/-1

k=c-qt/-1....

v=u+at

v-at=u

u=v-at

I hope this helps

HELP!!!!!!!!!
What is | 12 − 2i |?

Answers

Please mark brainliest

Answer is 2√37

Answer:

Answer is 2√37

Step-by-step explanation:

since a+bi = sqrt(144+4) = sqrt(148) = 2sqrt37

the difference between a number and 6

Answers

Step-by-step explanation:

=The difference between a number and 6

the term difference is used in mathmatics as subtraction

let x = a number

x - 6 = the difference between that unknown number and 6

Answer:

Step-by-step explanation:

difference means subtract. Difference is always worded the same way. What you have written means that you start with an algebraic letter and then comes the minus sign and then the number

Let the number = x

x - 6

If it was worded as difference between 6 and a number, you would write it this way

6 - x

How much would Carol have to invest today at 5.5% compounded annually to have $5300 for a vacation to China in three years?
Select one:

a.
$5023.70

b.
$4513.55

c.
$3179.08

d.
$4768.62

Answers

we learn that but forget it

y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch

Answers

I think it's (2,0).

Because u use the slope of line AB to go down from point C until one of the answers are met.

The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Slope of Parallel LinesTwo lines on a coordinate plane are parallel to each other if they have the same slope.Slope = change in y/change in x.

Slope of AB = -(3/6)

Slope of AB = -1/2

Slope of from point (2, 0) to point C(-2, 2):

Slope = (2 - 0)/(-2 - 2) = 2/-4

Slope = -1/2

Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Learn more about slope of parallel lines on:

https://brainly.com/question/10790818

ABCD is rectangle with diagonals AC and BD meeting at point O. Find x if OA = 5x-7 and OD=4x-5

Answers

Hope this helps have a nice day

allowing 20% discount on the marked price of a watch, the value of the watch will be rs 6328, when a VAT of 13% is added find it's marked price​

Answers

Step-by-step explanation:

let , MP =x

then,

discount amount =D% of MP

= (20/100)× x

= 0.2x

now,Sp without VAT = MP-D

=x - 0.2x

= 0.8x

NoW, SP with VAT = Sp without VAT+ VAT %of SP

or ,6328 = 0.8x + 13% of 0.8x

or, 6328 = 0.8x + (13/100) × 0.8x

or, 6328= 0.8x + 0.104x

or,. 6328= 0.904x

or, X= 6328/0.904

X= 7000 Rs.

Hence ,MP is Rs.7000

(4.8 × 10⁷) + 6,500,000

Answers

Answer:

5.45 * 10^7

Step-by-step explanation:

[tex](4.8 * 10^7) +6,500,000[/tex]

= [tex](4.8 * 10^7) + 6.5 * 10^6[/tex]

= [tex](4.8 * 10^7) + (0.65 * 10^7)[/tex]

= [tex]5.45 * 10 ^7[/tex]

Select all correct answers
What are the solution to this equation
-7+(x^2-19)^3/4=20

Answers

Correct options are -10 and 10

-7 + (-10² - 19)³/⁴ = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

-7 + (10² - 19)^3/4 = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

Rest options are incorrect

Answered by Gauthmath must click thanks and mark brainliest

Answer:

B and C, so 10 and -10

Step-by-step explanation:

Determine the value of X. Please explain the answer

Answers

We have two lines from the same point.

These two lines are also tangents to same circle which implies that they are of the same length.

That is 2x - 1 = 9

2x = 9 +1 = 10

x =10/2

x = 5

Question 7 of 10
What is the slope of the line described by the equation below?
y-9 = -2(x-8)

Answers

Answer:

The slope is -2 and a point on the line is (8,9)

Step-by-step explanation:

The equation is in point slope form

y -y1 = m(x-x1) where (x1,y1) is a point on the line and m is the slope

y-9 = -2(x-8)

The slope is -2 and a point on the line is (8,9)

5.
The width of a rectangle is one foot more than a third of the length. If the
perimeter is 42 feet, what is the width? What is the length?

Answers

Well, the formula for the perimeter of a rectangle is:
2l + 2w.
So, by plugging in our values of the length and width, we can easily find an answer:
length = L
width = 1 + L ( 1/3 )
2 ( L ) + 2 ( L ( 1/3 + 1 ) = 42
2l + 2/3( L ) + 2 = 42
8/3 ( L ) = 40
L = 40 * 3/8
L = 15
Therefore, the length is 15 and the width is 6.

The perimeter of a rectangular parking lot is 318m. If the width of the parking lot is 61m what is the length

Answers

Answer:

98 meters

Step-by-step explanation:

Simplify each side of the equation:

318 = 2(61+x)

318= (2)(61) + (2)(x)

318= 122 + 2x

Flip the equation:

2x + 122 = 318

Subtract 122 from each side:

2x + 122 − 122 = 318 − 122

2x = 196

Divide both sides by 2:

2x/2 = 196/2

x = 98

A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the data value of 42.

Answers

Answer:

Z = (42-20)/4 = 5.5

Z = X-μ / σ

Step-by-step explanation:

The z-score for the data value of 42 is 5.5.

What is a z-score?

A z-score is defined as the fractional representation of data point to the mean using standard deviations.

Formula of z-score = (X - μ) / σ

Given,

μ = 20

σ = 4

X = 42

z-score = (X - μ) / σ

Substitute the values,

z-score =  (42-20)/4

z-score = 22/4

z-score =  5.5

Hence, the z-score for the data value of 42 is 5.5.

Learn more about z-score here:

brainly.com/question/13793746

#SPJ5

IF YOU CAN ANSWER THIS QUESTION, YOU ARE A TRUE MEME LORD

Alan needs a total of $370 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Alan have to deliver papers to have enough money to buy the bicycle?

CAN YOU DO IT??

Answers

Answer:

22 weeks

Step-by-step explanation:

Let Suppose if weeks is x

So if we count it:

$40 + $15x = $370

$15x = $330

x = 22 weeks

So, Alan needs 22 weeks to have enough money to buy the new bicycle

He needs to deliver for 25 weeks more to have enough. Sooo is it right cuz I worked hard on it.

Simplify tan(arcsec 1)

Answers

Answer:

0

Step-by-step explanation:

Arc sec(1)=0, tan(0)=0

Rationalize 2 / 2√2

Answers

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{2\sqrt{2} }[/tex] * [tex]\frac{2\sqrt{2} }{2\sqrt{2} }[/tex]    =[tex]\frac{4\sqrt{2} }{8}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

Other Questions
What is the phrase we use to remember the note names in the treble clef lines? need help asap please respond Please help me solve this quickly! Will give brainliest! The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter What was true about the Russian Revolution?A. It resulted in a world famous crisis B. It caused a decrease in immigration to the United States C. It restored a monarchy D. It caused a fear of foreign influence in the United States what is the ratio of the surface area to the volume of a cube with sides length 5 Select the statement that best justifies the conclusion based on the given information.a. Definition of bisector.b. Definition of midpoint.c. If two lines intersect, then their intersection is exactly one point.d. Through any two different points, exactly one line exists. Can someone help me please. I am struggling and I would be so happy if any of you helped me. Thank you for your help! briefly describe what the outer layer of bone tissue is like Where is Guantanamo Bay located? give ten example of noun clause The instrument includes a light source, which is passed through a Choose... , which isolates a single wavelength to pass through an aperture to reach the Choose... . Then, the light travels to the Choose... , which measures the intensity of light reaching it. Please help due today Analyze the diagram below and complete the instructions that follow. Find a, b, and c. I need this quick please 5. A bicyclist is finishing her repair of a flat tire when a friend rides by at a constant velocity of3.5 m/s. Three seconds later, the bicyclist hops on her bike and accelerates at 3.6 m/s until shecatches her friend.a. How much time does it take until she catches her friend?b. How far has she traveled in this time?c. What is her speed when she catches up? 2 1/2 + 3 1/4 = ? pls Choose a number line to model the following situation:The temperature outside rose 15 and then dropped 15. (4 points) aA vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15. bA vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15. cA vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0. dA vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30. I'm so sorry I know this is long but can someone please help me with this?I would be forever gratefulJohn is a 35-year-old male (he/him) administrative assistant who enjoys playing baseball on weekends. During one of their games, John began running from first to second base. As he pushed off to start running, John heard a pop and felt a sharp pain in his right calf as though he had just been kicked in the back of his leg. John fell to the ground and experienced significant pain when putting weight on his right leg. John tried to walk but had to be carried off the field and was taken to the emergency department. At the hospital, it was noted that John had significant swelling at the back of his right leg, had a palpable and visible deformity in the distal calf, and was only able to put small amounts of weight on his right leg. The emergency doctor squeezed the back of Johns right calf and noticed that the ankle would not plantarflex. An x-ray and blood work were ordered which came back without any significant findings.Case Study Questions:1. Explain the possible anatomical structures that were affected by the injury and how each relates to Johns presenting symptoms and test results2. Identify and explain three differential diagnoses (diseases or conditions that present similar signs and symptoms that could possibly account for the patient's symptoms) with appropriate justifications. After describing your three differential diagnoses, indicate the most likely diagnosis based on your analysis and provide rationale and support for your selection. 3. From an anatomy point of view:a) Propose a management plan for the most likely diagnosis. This should include the treatment options you would implement given your patient's presenting symptoms. You should provide short- and long-term goals for the patient and a timeline on when you would implement each treatment. There may be several possible treatments you could prescribe to your patient. Include support, justification, and evidence for your prescribed treatment(s) and management plan. b) Explain the effects of your management plan for your patient's condition. From the management plan you've proposed, what effects will each treatment have on the patient's anatomy? Include any positive and negative effects this plan may have on the patient. el magnesio (z=12) tiene tres isotopos 24mg, 25mg, 26mg. calcula la masa atmica promedio del magnesio use trigonometry to find the unknown side (round to 1 decimal)