Given r(x)=x^3-4x^2+4x-6, find the value of r(2). What does your answer tell you about x-2 as a factor of r(x)? Explain.

Answers

Answer 1

Answer:

-6

Step-by-step explanation:

r(2)=2^3-4(2)^2+4(2)-6

r(2)=8-16+8-6

r(2)=-6

Answer 2

The Value of r(2) is -6 and x-2 is not a factor of r(x).

What is the value of a function on a Variable?

A real-valued function of a real variable is a function that takes as input a real number, commonly represented by the variable x, for producing another real number, the value of the function, commonly denoted f(x).

What is Factor?

A factor of polynomial P(x) is any polynomial that divides evenly into P(x).

How to find out the value of r(x)?

Given  r(x)=x^3-4x^2+4x-6,

Put x = 2 ,

r(2)=2^3-4(2)^2+4(2)-6

r(2)=8-16+8-6

r(2)=-6

As we see that x=2 is not equal to zero,

implies x-2 does not divide r(x) evenly.

thus x-2 is not a factor of given r(x).

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Related Questions

One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?

Answers

Answer: 0.5

Step-by-step explanation: 5 divide by 2 = 2.5.    2.5 minus 2 = 0.5

Heart 1 is translated 3 units down to heart 2. Which shows this transformation? On a coordinate plane, heart 1 is shifted 4 units down and 4 units to the right. On a coordinate plane, heart 1 is reflected across the x-axis to heart 2. On a coordinate plane, heart 1 is shifted 4 units to the right and is rotated to form heart 2. On a coordinate plane, heart 1 is shifted down 3 units to form heart 2.

Answers

Answer:

D. On a coordinate plane, heart 1 is shifted down 3 units to form heart 2.

Step-by-step explanation:

From the list of given options, the last option answer the question (see attachment for illustration)

The first option describes down and right shifts of the preimage of the heart

The second describes reflection

The third describes rotation

Only option 4 describes down shifting and it was shifted by exactly 3 units as stated in the question.

Answer:

D. i just took the unit test

Step-by-step explanation:

A right triangle has a leg whose length is 50 and the hypotenuse is 100. Find the length of the other leg. Round your answer to the nearest tenth.

Can someone help me I will award brainliest!​

Answers

Answer:

90 . I think I'm not sure

N decreased by 18 is 36

Answers

Answer:

54

Step-by-step explanation:

Step 1:

n - 18 = 36        Equation

Step 2:

n = 36 + 18       Add 18 on both sides

Answer:

n = 54

Hope This Helps :)

Answer:

54

Step-by-step explanation:

54-18=36

Heather solved this problem:

75 is 300% of what number?

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 300 Over 100 EndFraction = StartFraction 75 Over question mark EndFraction. StartFraction part Over whole EndFraction = StartFraction 75 times 4 Over 100 times 4 EndFraction = StartFraction 300 Over 400 EndFraction

What error did Heather make?

Answers

Answer:

She used the part, 75, to write the percent ratio. The part-to-whole percent ratio is StartFraction 300 Over 100 EndFraction  

Step-by-step explanation:

D

Answer:

hope this helps and have a great day:)

9(42) - 9(4) = 9(30) - 9(___)

Answers

Answer: 8 (I might have gotten it wrong tho) could be -8 too btw.

Step-by-step explanation:

42x9=378 and 9x4=36. 9x30=270 so that would make the equation 378-36=270-9(_). Simplified a bit more would be 342=270-9(_). Now subtract 270 from both sides you get 72=9(_) so it would be 8. Sorry if I’m wrong tho.

Answer:

9(42) - 9(4) = 9(30) - 9(-8)

Step-by-step explanation:

9(42 - 4) = 9(38)

9[30 - (-8)] = 9(38) because of rules of subtracting integers is:

Two like signs become a positive sign

Example:

3+(+2) = 3 + 2 = 5

6−(−3) = 6 + 3 = 9

Two unlike signs become a negative sign

Example:

7+(−2) = 7 − 2 = 5

8−(+2) = 8 − 2 = 6

Then, give an example of when "the square root of a
whole number is irrational" IS NOT TRUE.

Answers

Answer:

The square root is not an example when a number is not part of the following number meaning that the correct indirection of the longitude is the correctness of the featured position on the term to term sequence

Solve for the equation for y: 3/2 y + 12 = 7/5 y-20

Answers

Could you help me in my recent

Answer:29/10y=-32

Step-by-step explanation:simply find a common denominator in this case ten add them together and subtract 12 to -20 and your done

The total fare (F) for x kilometers given that Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.

Answers

Given:

Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.

To find:

The total fare (F) for x kilometers.

Solution:

Let x be the number of kilometers and F(x) is total fare.

Number of kilometers cannot be negative. So, x is always greater than 0.

Php 50.00 is paid for the first 10 kilometers.

[tex]f(x)=50.00[/tex] for [tex]0\leq x\leq 10[/tex]

The addition of Php 5.00 for every succeeding kilometer.

[tex]f(x)=50.00+5.00(x-10)[/tex] for [tex]x\geq 10[/tex]

Therefore, the required function is

[tex]\begin{cases}50.00, & \text{ if } 0\leq x\leq 10\\ 50.00+5.00(x-10), & \text{ if } x\geq 10 \end{cases}[/tex].

omg help meAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

Answers

Answer: D lower

Step-by-step explanation:

The upper quartile will increase

Which is a commercial use for lactic acid fermentation?

brewing beer

baking bread

making wine

making cheese

Answers

Answer:

it's making cheese (:

Step-by-step explanation:

Answer:

D. Making Cheese

Step-by-step explanation:

It's right on edge 2020

use the graph to evaluate the function below for specific inputs and outputs

Answers

Answer:

b

Step-by-step explanation:

whats the answer to this? like what does t equal? t=4t+27

Answers

Answer:

t = -9

Step-by-step explanation:

t = 4t + 27

-t    -t

0 = 3t + 27

-27     -27

-27 = 3t

÷3     ÷3

-9 = 3t or 3t = -9

giana read 120 pages in 4 days which reading rate is equivalent ?

Answers

Answer:

30 pages a day

Step-by-step explanation:

Answer:

120 pages in 4 days can be turned into this mathematical expression: 120/4.

120/4 = 30/1 = 60/2 = 90/3.

Therefore, "B. 60 pages in 2 days" is the correct answer.

Step-by-step explanation:

Question 17(Multiple Choice Worth 1 points)
(03.03 MC)
On which number line are -9 and its opposite shown?
P
Q
-24
-12
0
24
12
Q
P
-24
-12
12
24
0
Q
O
-24
-12
0
12
24
P
Q
-12
-24
0
12
24

Answers

Answer:

a

Step-by-step explanation:

O

-24

-12

0

12

24

P

Q

-12 b=12

The length of the box is what in?

Answers

Answer:

Length is always the longest side of the box that has a flap. The next dimension is width. The width side also has a flap, but is always the side shorter than the length.

Step-by-step explanation:

helppppppppp plssssssss

Answers

what type of math is that?

Prove that
[tex](1 - { \tan }^{2} a) + (1 + { \tan }^{2} a) = 2[/tex]

Answers

Answer:

Step-by-step explanation:

Hey there!

Given;

(1-tan^2a) + (1+tan^2a)= 2

LHS:

=(1-tan^2a)+(1+tan^2a)

Remove brackets.

=1-tan^2a + 1 +tan^2a

Cancel "tan^2a" and "-tan^2a"

= 1+1

= 2

RHS proved....

Hope it helps...

Which points lie on the graph of f(x) = Negative StartRoot negative x EndRoot? (–9, 3) (–4, –2) (–1, 1) (0, 0) (1, 1) (2, –4) (9, 3)

Answers

Answer:b and d

Sbrhabsbdbabsbsbs

Answer:

The correct answers are (–4, –2) and (0, 0).

Step-by-step explanation:

This is correct on Edg. 2020

the square root of 66 is between 8.12 and _,and it is closer to_

Answers

Answers:

Square root of 66 is between  8   and  9  

It is closer to  8  

===================================================

Explanation:

Note that 66 is between the perfect squares 64 and 81

So we can say the following:

[tex]64 < 66 < 81\\\\\sqrt{64} < \sqrt{66} < \sqrt{81}\\\\8 < \sqrt{66} < 9[/tex]

Meaning the square root of 66 is between the integers 8 and 9.

The decimal approximation of 8.12 helps confirm this (because 8.12 is between 8 and 9).

------------------

[tex]\sqrt{66}[/tex] is closer to 8 than it is to 9 since 66 is closer to 64, than 66 is to 81.

Also, we're told that [tex]\sqrt{66} \approx 8.12[/tex] giving us more proof that [tex]\sqrt{66}[/tex] is closer to 8.

You roll a single die numbered from 1 to 6.
What is the probability of rolling an odd
number, expressed as a fraction?

Answers

Answer:

3/6 or 1/2

Step-by-step explanation: 3 odd numbers on a dice with six sides

At its highest​ point, the elevation of a county is 5,763 feet above sea level. At its lowest​ point, the elevation of the county is 8 feet below sea level

Answers

Answer:

Expression = (y + 5,763) - (y - 8)

Simplified expression = 5,763 + 8

Step-by-step explanation:

• Note: The question is incomplete, however, the concluding part is ; write an expression, using integers to represent the difference between the elevations.

We can make y represent the sea level.

Since the highest point of the country is 5,763 feet above sea level, it Means that the expression can be written as;

y + 5,763

Also, we know that the lowest point is 8 feet below the sea level, hence expression can be written as;

y - 8

We can then find the difference(expression) between both elevation.

= (y + 5,763) - (y - 8)

When the expression is further simplified, we'll have;

5,763 + 8

which of these would earn the sam interest as a $150 principal at a 4% annual interest for 2 years
1.) $300 at 2% for 2 years
2.) $150 at 6% for 18 months
3.) $400 at 3% for 1 year
4.) $100 at 1% for 8 years
5.) $50 at 48% for 6 months ​

Answers

9514 1404 393

Answer:

  1, 3, 5

Step-by-step explanation:

The interest earned is given by the formula ...

  I = Prt

For the reference amount, that is ...

  I = ($150)(0.04)(2) = $12

For the choices, the earned interest amounts are ...

  1) ($300)(.02)(2) = $12

  2) ($150)(.06)(1.5) = $13.50

  3) ($400)(.03)(1) = $12

  4) ($100)(.01)(8) = $8

  5) ($50)(0.48)(0.5) = $12

Accounts 1, 3, 5 would earn the same interest.

Three times the square of a number is greater than a second number. The square of the second number increased by 6 is greater than the first number. Which system of inequalities represents these criteria?

Answers

Given:

Three times the square of a number is greater than a second number.

The square of the second number increased by 6 is greater than the first number.

To find:

The system of inequalities represents these criteria.

Solution:

Let the first number be x and the second number be y.

Three times the square of a number is greater than a second number.

[tex]3\times x^2>y[/tex]

[tex]3x^2>y[/tex]           ...(i)

The square of the second number increased by 6 is greater than the first number.

[tex]y^2+6>x[/tex]       ...(ii)

Therefore, the system of inequalities represents these criteria has inequalities [tex]3x^2>y[/tex] and [tex]y^2+6>x[/tex], where x is first number and y is second number.

The system of inequalities represents given criteria are [tex]3x^{2} > y[/tex] and [tex]y^{2} +6 > x[/tex].

Let us take the numbers as x and y respectively.

First number = x

Second number = y

What is inequality?

Inequality is the relationship between two expressions that are not equal to one another.

Three times the square of the first number is greater than a second number:

This means, [tex]3x^{2} > y[/tex]

The square of the second number increased by 6 is greater than the first number:

This means, [tex]y^{2} +6 > x[/tex]

Therefore, the system of inequalities represents given criteria are [tex]3x^{2} > y[/tex] and [tex]y^{2} +6 > x[/tex].

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A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if
b

no two neighboring tiles are the same color?

Answers

The number of ways the task of Rearranging the rectangular grid can be done if no two neighboring tiles are the same color is;

P(no two neighboring tiles are same) = 60 ways

We are given;

Number of yellow tiles; n_y = 3

Number of white tiles; n_w = 2

Number of blue tiles; n_b = 1

Now, if no two neighboring tiles can be the same tile Color, it means that;

P(no two neighboring tiles are same) = number of ways when no restriction/((n_y)! × (n_w)! × (n_b)!)

>> P(no two neighboring tiles are same) = 6!/(3! × 2! × 1!)

>> P(no two neighboring tiles are same) = 720/12

P(no two neighboring tiles are same) = 60 ways

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The temperature at noon is 0 degree celsius.The temperature changes by -3/2 celsius every hour for 4 hours. Write an expression to represent this situation.What is the temperature at 4:00 pm

Answers

Answer:

-6

Step-by-step explanation:

-3/2 x 4/1 = 12/2

Simply to -6/1 or -6

The required temperature would be  -6°C at 4:00 pm, which is determined by the expression -3/2 × 4/1.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

At midday, the temperature is 0 degrees Celsius. For four hours, the temperature decreases by -3/2 degrees Celsius per hour.

According to the given condition, we can write the expression as:

⇒ -3/2 × 4/1

⇒ -12/2

Apply the division operation to get the solution

⇒ -6

So, the time at which the temperature goes -6°C  is 4:00 PM.

Therefore, the required temperature would be  -6°C at 4:00 pm.

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There were 92,623 fans watching the soccer game. What is this number rounded to the nearest thousand?

Answers

Answer:

93,000

Step-by-step explanation:

Look at the hundreds place if it is 0-4 round down if it is 5-9 round-up so 6 is 5-9 so you round up which gets 93,000

Hope this helps!

Answer:

93,000 fans

Step By Step Explanation:

please help me with these 2 questions.

Answers

Answer:

Step-by-step explanation:

It's a both times

a. use the two points. to find the equation that represents the linear function f.

b. what is f(6)

Answers

First: find the slope:

(1-2)/(4-1) = -1/3

Next, find the y intercept by using 1 as the value for x and 2 for the value of y

Y = 1/3x + b
2= 1/3(1) + b
B = 5/3

So the equation of the line is y = -1/3x + 5/3

F(6) = -1/3(6) + 5/3
= -1/3

What is the value of 7/3 divided by 5/6

Answers

2 4/5 if not in mixed number form, 14/5 and if in decimal form, 2.8

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