Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.​​

Answers

Answer 1

Hello haohaoxNienie!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Refer to the attached picture.

Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Use The Remainder Theorem To Determine Whether X=-4 Is A Solution Of X^6+5x^5+5^4+5^3+2x^2-10x-8.

Related Questions

please help...

The image shows the linear graph for a family that hired a babysitter for a day. The family gave the babysitter some money up front to buy herself some lunch, and then paid her a constant hourly rate for the hours she worked. Click the thumbnail image to see the full size image.


Which 2 of the following statements are TRUE about the Y-INTERCEPT of this line? Select the TWO statements that are accurate.


A.
The y-intercept is 0.

B.
The y-intercept is 10.

C.
The y-intercept tells me that they paid the babysitter $20 to buy her lunch.

D.
The y-intercept tells me that they paid the babysitter $10 to buy her lunch.

Answers

The y-intercept, which represents the point the graph crosses the y-axis, is the point where x = 0, or the usual start of a time based function

The true statements about the y-intercept are;

B. The y-intercept is 10

D. The y-intercept tells me that they paid the babysitter $10 to buy her lunch

Reasons:

The points on the graph are;

[tex]\begin{array}{|c|cc|} \mathbf{Time }&&\mathbf{Cost}\\0&&10\\1&&20\\2&&30\\3&&40\\4&&50\\5&&60\end{array}\right][/tex]

The slope of the graph is therefore; [tex]\dfrac{60 - 50}{5 - 4} = 10[/tex]

The equation of the graph is y - 60 = 10·(x - 5)

y = 10·x - 50 + 60 = 10·x + 10

y = 10·x + 10

The y-intercept is give by the point where the x-value is zero

At the start when x = 0, the amount paid to the baby sitter is y = 10×0 + 10 = 10

Therefore, the y-intercept which is $10, represent the amount the family

paid to the babysitter at the start for her lunch

The correct statements are therefore;

Option B; The y-intercept = 10

Option D; The y-intercept indicates the amount given to the babysitter for

her lunch

Learn more here:

https://brainly.com/question/14431998

Answer:

d and b i did the quiz

Step-by-step explanation:

4) The formula for electrical power, P, is P= FR,
where I is current and R is resistance. What is the
formula for I in terms of P and R?

Answers

Answer:

Step-by-step explanation:

The formula for electrical power, P, is P = I2R , where I is current and R is resistance. The formula for I in terms of P and R is 1 I= P/R 2 3 I=P-R2 2 I= square root of P/R 4 I= square root of P-R.

please help!!!!!!!!!!!!​

Answers

Answer:

The water level in the glass decreases.

Step-by-step explanation:

Looking at these choices, you should think of the cycles and phases of matter. Water decreasing from a cup would most likely mean that it evaporated, which is a phase change. It is going from a liquid to a gas, which is water vapor.

Hope this helped! (:

What is the sum of V-2 and V-18?

Answers

Answer:

[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ = \sqrt{2} i + \sqrt{ - 2} \sqrt{9} \\ = \sqrt{2} i + 3\sqrt{2} i \\ = 4\sqrt{2} i[/tex]

Need help confused rn

Answers

The exterior angle property of a triangle

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

According to the question

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm {\red{y \: + \: 45 \degree \: = \: 100 \degree}}}}}\end{gathered}[/tex]

Now , solving this liner equation

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: + \: 45 \degree \: = \: 100 \degree[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 100 \degree \: - \: 45 \degree \:[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 55 \degree[/tex]

Answer:

Your answer is Y = 55°.

Step-by-step explanation:

x = 180 - 100

x = 80

80+45 = 125

180-125 = 55

Hope this helps!

Need help asap pls pls pls

Answers

Answer:

I would say the answer is A) y = x + 3

Step-by-step explanation:

Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.

For example:

x-value

(5) = (2) + 3

y-value

Hope this helps :)

A. Y=x+3 is the correct answer

i need the answer!!! help

Answers

Answer:

30517578125

Step-by-step explanation:

One grain of this sand approximately weighs 7 x 10^-5 g. How many grains of sand are there in 6300 kg of sand ? Give your answer in standard form

Answers

Answer:

90 000 000 000 Grains

Step-by-step explanation:

one grain equal approximately 0.00007 grams.

convert 6300 kg into grams (multiply by 1000) and that equals 6 300 000g.

divide that by the weight of a single grain and you get the number of grains in that weight. So 6300000/0.00007=90 000 000 000 grains.

The number of grains of sand are there in 6300 kg of sand is 90,000,000.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, one grain of this sand approximately weighs [tex]7\times10^{-5}[/tex] g.

6300 kg of sand

Number of grains = [tex]\frac{6300}{7\times10^{-5}}[/tex]

= [tex]900\times10^5[/tex]

= 90,000,000

Therefore, the number of grains of sand are there in 6300 kg of sand is 90,000,000.

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

help need explantion and answersi give you 100​

Answers

Rules:
2: the number has to be even, ex: 46 & 82
3: add each digit, if it is divisible by 3, ex: 39, 3 + 9 = 12, which is divisible by 3, so 39 is divisible by three
4: if the number can be divided by 2 two times, 48 divided by 2 = 24 divided by 2 is 12. So 48 is divisible by 4
5: the last digit must be 0 or 5, ex: 45 and 120
6: the number should be even and divisible by 3, ex: 66, 66 is even and 6 + 6 can be divided by 3. so 66 is divisible by 6
9: add each digit, if it is divisible by 9. 189 = 1 + 8 + 9 = 18 can be divided by 9 so 189 is divisible by 9
10: the last digit must be 0, ex: 40 and 5600

Answers:
120- 2, 3, 5, 6, 10
125- 5
180- 2, 3, 5, 6, 9, 10
324- 2, 3, 6, 9
660- 2, 3, 5, 6, 10

pls help!!! i will give brainliest!!!!! :D

Answers

the answer equals 29.

Answer:

31 cm

Step-by-step explanation:

the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form.​

Answers

Answer:
y=2
Explanation:
Just trust me

A line passes through the points (-6, -8) and (-3,-7).

What is the equation of the line in Slope-Intercept Form?

A)y=1/3x-6

B) y=3x-6

C)y=1/3x+6

D) y=3x+6

Answers

Answer:    A)  y =  ¹/₃ x - 6

Step-by-step explanation:  

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.

 

Finding the Slope  

The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))    

                                          =  -1 ÷  (-3)  

                                          =   ¹/₃  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                 ⇒  y - (-7) =   ¹/₃ (x - (-3))  

  we could also transform this into the slope-intercept form ( y = mx + c)

                                   since  y + 7 =   ¹/₃ (x + 3)

                                         ⇒     y + 7 =  ¹/₃ x + 1

                                                                                  ∴  y =  ¹/₃ x - 6

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

5.5.WW3
Question Help
Find the quotient
30)593
Select the correct choice below and fill in the answer box(es) within your choice.
OA. The quotient is
OB. The quotient is
R

Answers

19.7666
Because it just makes since I think

which number line and expression show how to find the distance from -4 to -1

Answers

Answer: A

Step-by-step explanation: you can see the two dots representing -1 and -4 the line then connects them showing the distance

Write a compound inequality for each problem. Graph the solutions

An advertisement for a part-time job says that the hourly rate is between $6.40 and $9.80 inclusive, depending on the experience

Answers

answer:

16.20

step by step

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

C

Step-by-step explanation:

38.92 x 10^4 = 3892000

Answer:

(d) is ans.

Step-by-step explanation:

brcause point will move four digit the anawer will be =389.2x10^4

suppose the cost of a speeding ticket where the speed is 65 miles per hour is:

Answers

Answer:

A

Step-by-step explanation:

HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.

1. Find the distance from A to B. Explain how you found this distance.


2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.

3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.

Answers

Answer:

are there any pictures?

Step-by-step explanation:

What is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

$1559.40

Step-by-step explanation:

1. Find the perimeter of the garden

[tex]14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd[/tex]

2. Convert to feet

1 yd = 3ft

50 x 3 = 150

50 yd = 150 ft

3. Divide by 2.5 to find out how many sections are needed

150/2.5 = 60 sections

4.  Multiply by 25.99

60 x 25.99 = 1559.4

It will cost $1559.40

Which expression correctly represents 10 less than a number cubed?

Answers

(x^3)-10

Sorry I can’t see pic

Brainliest is appreciated

Answer:

a

Step-by-step explanation:

[tex]c^{3} - 10[/tex]

What is the x intercept of this quadratic/parabola?

Answers

Answer:

-3, 1

Step-by-step explanation:

There are actually 2 x-intercepts of the parabola. You can find them simply by looking along the x-axis and seeing where the lines of the parabola touch the axis, so -3 and 1.

Hope this helps :)

Answer:

1 and  -3

Step-by-step explanation:

At x-intercept y = 0

So, parabola intersect x-axis at two places (1 , 0) and (-3 , 0)

X-intercepts are 1 and -3

Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.​

Answers

Applying the general Ohm's Law, it is found that:

a) The impedance is of 8 + 4i ohms.

b) The current is of 17.6 + 8.8i amperes.

c) The impedance is of -11i ohms.

Ohm's Law states that voltage is current multiplied by impedance, that is:

[tex]V = IZ[/tex]

Standard voltage of 220 volts, thus [tex]V = 220[/tex].

Item a:

Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = (22 - 11i)Z[/tex]

[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]

Considering [tex]i^2 = -1[/tex]

[tex]Z = \frac{220(22 + 11i)}{605}[/tex]

[tex]Z = 0.3636(22 + 11i)[/tex]

[tex]Z = 8 + 4i[/tex]

The impedance is of 8 + 4i ohms.

Item b:

Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then

[tex]V = IZ[/tex]

[tex]220 = (10 - 5i)I[/tex]

[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]

[tex]I = \frac{220(10 + 5i)}{125}[/tex]

[tex]I = 1.76(10 + 5i)[/tex]

[tex]I = 17.6 + 8.8i[/tex]

The current is of 17.6 + 8.8i amperes.

Item c:

Current is 20i amps, thus [tex]I = 20i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = 20iZ[/tex]

[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]

[tex]Z = -\frac{220 \times 20i}{400}[/tex]

[tex]Z = -11i[/tex]

The impedance is of -11i ohms.

A similar problem is given at https://brainly.com/question/16850726

Take these points. 25 of them. Will Thanks give brainiest and 5 star

Answers

Answer:

What do you need help with? Please go easy on me. I'm just a kid.

Step-by-step explanation:

10 in
3 in
8 in
4 in
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = (8 × 7) + (3 × 4) = 56 + 12 = 68

The perimeter = 10 + 4 + 3 + 4 + 7 + 8 = 36

please give me a brainliest answer

Help me please!! i beg

Answers

Eat the Legendry Fruit: And play King legcy

Step-by-step explanation:

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

Answers

Answer:

You would have a 80% chance.

Step-by-step explanation:

16 out of 20 is equal to 80%. ( I can't really explain how I got 80% -_-. ) Let me know if I'm wrong.

The length of a rectangle is 8 cm more then 4 times the with. If the perimeter of the rectangle is 46 cm, what are the dimensions

Answers

Answer:

15

Step-by-step explanation:

let the breadth be x

let the length be x+8

perimeter of rectangle=2 (length +breadth)

so, 2 (x+x+8)=44cm

=2 (2x+8)=44

=4x + 16=44

=4x= 44-16

=4x= 28

=x = 28÷4

=x= 7

therefore,

breadth is 7 (x)

length is 7+8 (x+8)

=15

Marci drove 175 miles. The trip took 3 1/2 hours. What was her average speed in mph

Answers

Answer:

50 miles per hour good luck!!

Step-by-step explanation:

basically all you have to do is divide 175 by 3 1/2

WILL GIVE BRAINLIEST

solve for x : -4 = (2/3)x

show steps please

Answers

Answer:  x = -6

Step-by-step explanation:

To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)

since    -4 = (2/3)x     [mutiply both sides by 3]

⇒    -4 × 3 = 2x     [divide both sides by 2]

⇒   (-12/2) = x      [simplify by dividing -12 by 2]

∴            x = -6

Answer:

X = 6

Step-by-step explanation:

2/3 x 6/1 = 4

2 x 6 = 12

3 x 1 = 3

12/3 = 4

12 divided by 3 is 4

The answer is 6 , x = 6

If x=√7/5 and 5/x=p√7 find p
Plz tell fast
I will mark as branliest

Thank you

Answers

Replace x with √7/5

5/√7/5 = p √7

Divide both sides by √7

P = 5/√7/5 /√7

P = 25/7

Answer: p = 25/7

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