using the remainder theorem which quotient has a remainder of 20?

Using The Remainder Theorem Which Quotient Has A Remainder Of 20?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

[tex](-4)^{4}[/tex] - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3[tex](2)^{4}[/tex] - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

Answer 2

Answer:

(3x^(4)-5x^(3)+5x+2)-:(x-2)

Step-by-step explanation:

Plato/Edmentum

Using The Remainder Theorem Which Quotient Has A Remainder Of 20?

Related Questions

For a function f, we are given that f(8) = 1 and f'(8) = 2.
What's the equation of the tangent line to the graph of f at x = 8?

Answers

Answer:

Step-by-step explanation: y

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13

What is the slope-intercept form of (-12,-6) (8,9)

Answers

Answer:y=3/20+12m+6

Step-by-step explanation: The equation for these types of problems are y=mx+b

the y is the second number, so in the first one the y would be -6, so you replace the y with the -6 and the x with -12

so now the equation is -6=-12m+b

you add the -12m to the other side to make 12m+6=b

now onto the second one, the 9 is the y and the 8 is the x, now the equation is 9=8m+b

this time you replace the b with the equation you got earlier (12m+6=b)

So the equation is 9=8m+12m+6

minus the 6 on both sides

3=8m+12m

add the m's

3=20m

3/20=m

Now you replace the m and the b

y=3/20x+12m+6

(Hopefully im sorry if this isnint correct :) )

4(x-8)+12 equal 2(2x-9)

Answers

(Answer explained)

4(x-8)+12=2(2x-9)

We move all terms to the left:

4(x-8)+12-(2(2x-9))=0

We multiply parentheses

4x-(2(2x-9))-32+12=0

We calculate terms in parentheses: -(2(2x-9)), so:

2(2x-9)

We multiply parentheses

4x-18

Back to the equation:

-(4x-18)

We add all the numbers together, and all the variables

4x-(4x-18)-20=0

We get rid of parentheses

4x-4x+18-20=0

We add all the numbers together, and all the variables

-2!=0

There is no solution for this equation

   


can someone please help

Answers

Answer:

slope is -2/3

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

given: y = -2/3x

in this case we don't have a b so make it an automatic 0

now we have y = -2/3x +0

slope is m, so our slope is -2/3

Please answer this question

Answers

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

[tex]( \frac{19 + 7}{2} ) - 5[/tex]

hope this answer helps you dear...

Hi !
A
19 + 7 / 2 - 5
According to PEMDAS, division comes first, so we start by diving 7 by 2, which equals 3.5.
19 + 3.5 - 5 = 17.5

B
19 + 7 / 2 - 5
In order for this to equal 8, the brackets will be placed like this: (19 + 7)/2 - 5
It gives (26)/2 - 5
Then we divide 26 by 2 (according to PEMDAS once again)
We get 13 - 5 = 8

C
19 + 7 / 2 x 6 + 1
In order to get 2 as an answer, we place the brackets this way:
(19 + 7)/(2 x 6 + 1)
(26)/(12 + 1)
26/13 = 2

Hope it helps!!

The students in Hunter's grade voted to select a guest speaker. 60 students voted for a famous athlete. If there are 75 students in Hunter's grade, what percentage of the students voted for the athlete?

Answers

Answer:

80%

Step-by-step explanation:

60/75 = 4/5 = 80%

I need help with this question I beeen stuck on it

Answers

Answer:

Step-by-step explanation:

The rule says that when the bases are the same (both are the same -- s) and they are divided with different powers then you subtract the power on the denominator from the power on the numerator.

s^9 ÷ s^4

s^9 is the numerator

s^4 is the denominator

s^(9 - 4)

s^5

What is the slope of line segment betweem the points (-1,-1) and (-2,-4)

Answers

Answer: 3

Step-by-step explanation:

Slope formula: (y2 - y1)/(x2 - x1)

(-4 -(-1))/(-2-(-1)

(-4+1)/(-2+1)

-3/-1

= 3

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Answer:

hope you like my answer its -3

Please answer the math problem... I will mark you brainliest

Answers

Answer:

t = 128°

Step-by-step explanation:

A triangle equals 180°. 2/3 of the angles in the triangle are given, so we would then do the following:

180 - (61 + 67) = x

180 - 128 = x

52 = x

Since a straight line also is 180°, this would mean x + t = 180.

x = 52

We would then convert the equation to the following:

180 - 52 = t

128 = t

The angle "t" is a 128° angle.

What is the first step in solving 0.35 + 0.22x = 1.67?

Answers

Answer:

6

Step-by-step explanation:

0.22 x=1.67-0.35=1.32

then x=1.32/0.22=6

Answer:

You do reverse operation, so you subtract 0.35 on each side. You will end up with 0.22x = 1.32

Step-by-step explanation:

Please help with this math problem!! :) Will give brainliest!!

Answers

Answer:

X=12.75

Y=12

Step-by-step explanation:

4X+8°+31°=90°

4X=90-39/4°

X=12.75°

3Y+86=8Y+26

86-26=8Y-3Y

60=5Y

Y=60/5

Y=12

Answer:

x = 12.75

y = 12

Step-by-step explanation:

To solve for x, we can see that it makes up a right angle when placed next to the 31 degrees.

We also know that the corner should equal 90 degrees, so we can set this up:

4x+8+31=90

Group like terms:

4x=51

Divide:

x=12.75

To solve for y, we can see that two expressions equal the same length, so:

8y+26=3y+86

Group like terms:

5y=60

y=12

You can also plug in x and y in to see if they match up

4(12.75)+8+31=90

51+8+31=90

90=90

and

8(12)+26=3(12)+86

96+26=36+86

122=122

Gibson's Department Store is having a clearance sale and has decreased everything in the
store by 35%. How much will Gloria pay for a pair of earrings that were originally
$15.75?
A. $13.75
C. $12.75
B. $10.24
D. $12.24

Answers

Answer:

B. :>

Step-by-step explanation:

B, rounded from what i got which is 5.51, just rounded it to see the answer, and i got B

What is EF?


A. 26
B. 28
C. 30
D. cannot be determined from information given

Answers

Answer:

EF is 26 did you go to school at all god

Answer:

26

Step-by-step explanation:

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:Number of small boxes shipped = 8

Number of large boxes shipped = 13

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2  

25(21-y) +70y =1110

525-25y+70y = 1110

45y = 585

Y=13

Putting the value of y in equation 1  

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13

what are the x and y intercepts of the equation -2x +3y=10

Answers

Answer:

Step-by-step explanation:

To find the x-intercept, let y = 0 and solve the resulting equation for x:

-2x + 3(0) = 10, or -2x = 10.  This results in x = -5; the x-intercept is (-5, 0).

To find the y-intercept, let x = 0 and solve for y:  -2(0) + 3y = 10, or y = 10/3.

The y-intercept is (0, 10/3).

Could someone explain to me how to do this? I'd like to know before my test, please!

Find the value of x for which a || b

Answers

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

I need help with 9-11 I’ll mark
Brainliest


Answers

Answer: it is 26

Step-by-step explanation:

find the scale factors for the dilation of the small quadrilateral to the large

a. 2
b. 5
c. 4
d.3

Answers

I think the correct answer to this question would be 2!

9. Write the equation of the line that is parallel to the line 5x - 4y = 4 and passes through the
point (-8, 2).

Answers

Answer:

y = 5/4x + 12

Step-by-step explanation:

4y = 5x - 4

y = 5/4x - 1

2 = 5/4(-8) + b

2 = -10 + b

b = 12

y=-2/3x + 7 what is the slope?

Answers

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Divide. 2/7 ÷ 1/3 anyone know im struggling

Answers

Answer:6/7

Step-by-step explanation:

2/7 divided by 1/3= 2/7 x 3/1= 6/7

Answer:

Step-by-step explanation:

To divide fractions, use the reciprocal (flip it) of the second fraction and change the division sign to a multiplication sign.

So then the expression would be: [tex]\frac{2}{7} *\frac{3}{1}[/tex]

Then multiply like normal.

Help me please I really need it!

Answers

The rate of change is 3/4.

The rise is 3 and the run is 4.

Slope, or rate of change, is rise/run.

So, you get 3/4.

Answer: The answer would be 3/4!

Step-by-step explanation:

please help I’ll give you a points :,)

use estimation to check whether 96.26 is a reasonable solution fot the equation m-62.74=159

Answers

Answer:

See below

Step-by-step explanation:

I hope you wrote down the right equation using a minus sign instead of a plus.

Rounding 96.26 off to just 96  and then rounding 62.74 off to 62, you can subtract the two in your head real quick.

96 - 62 = 34

So using this estimation you can see that the answer of 159 is no where near correct.

Help me please ?!?!?!?!?!

Answers

Answer:

option 3 left bottom corner

Step-by-step explanation:

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros off Degree 3; zeros: -1, 4-i OTS​

Answers

Answer: 8+i

Step-by-step explanation:

i always come in a pair, so if you have an -i you will have a +i

Someone help will mark brainiest:) plz make sure it’s right:)

Answers

9514 1404 393

Answer:

  (c)  y = 3x +2

Step-by-step explanation:

The second given point is the y-intercept, telling you that the 'b' in the equation y = mx +b is 2. This eliminates the first and last choices.

Trying the other point in the two remaining equations shows you which one works:

  (b)  y = -3x +2

     -1 = -3(-1) +2 . . . . not true

  (c)  y = 3x +2

     -1 = 3(-1) +2 . . . . true

The equation of the line through the two points is ...

  y = 3x +2

_____

Additional comment

If you plot the two points, you see the line connecting them must have a positive slope. Only the third choice has a positive slope and a y-intercept of 2.

50 points
What is the slope of this line?
A line goes through the points (9, 10) and (-3, 6).
Enter your answer as a simplified fraction in the boxes.
m =
Using the point, (9, 10), write the equation of this line in point-
slope form
Enter your answers in the boxes to correctly complete the
equation
у_=_(x_)
Write the equation of this line in slope-intercept form.
Enter your answer in the box to correctly complete the equation
y =

Answers

The slope is 1/3 (m=1/3)
Y=1/3x+7

An airplane on autopilot took 5 hours to travel​ 3,475 kilometers. What is the unit rate for kilometers per​ hour?

Answers

Answer:

695/kph

Step-by-step explanation:

Divide the kilometers (3475) by the number of hours (5)

to get 695

What’s the product of this

Answers

The answer to this question is 24

Answer:-12

Step-by-step explanation:

subtract the 2 and 3 and you got your answer.

6+8÷2


mathematics middle school

Answers

Answer:

10

Step-by-step explanation:

6+8÷2=

6+4=

10

Answer:

10

Step-by-step explanation:

This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.

In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.

The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.

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