What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​

Answers

Answer 1

Answer:

185/27

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

−2x

3

+3x

2

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,  

27

185

 should be subtracted from 3x

4

−2x

3

+3x

2

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.


Related Questions

Write an equation for the nth term of the geometric sequence. Then find a7.
1,-2,4,-8...

Answers

Answer:

1,2,4,6,-8....

Step-by-step explanation:

in how many years does Rs 2000 amount to Rs 2420 at 10% p.a compound interest?

Answers

2 years

Step-by-step explanation:

Given

Principle = Rs. 2000

Rate of Interest = 10%

Amount = Rs. 2420

Formula used = P(1+R/100)^T

=> 2420 = 2000 ( 1+10/100)^T

by taking LCM of underlined equation.

=> 2420 = 2000 (10+1/10)^T

=> 2420 = 2000 (11/10)^T

=> 2420/2000 = (11/10)^T

=> 121/100 = (11/10)^T

121 = 11²100 = 10²

=> 11/10 = (11/10)^T

=> 2 years.

Sabrina wants to learn a new language. She downloads an app and sees that it comes with an immediate discount of 55% off a yearly membership. If the yearly membership costs $139.99, how much money will Sabrina save? How much money will the yearly membership with the discount cost?​

Answers

Answer:

$56.

$83.99.

Step-by-step explanation:

She will save  40% of $139.99

= 0.40 * 139.99

= $56.

With the discount membership costs:

139.99 - 56

= $83.99.

please help me..asap

Answers

Answer: the fourth one

Step-by-step explanation:

your welcome :)

can someone help please​

Answers

Answer:

198.78m

Step-by-step explanation:

1. Find the area of the circles:

[tex]a = r^{2}\pi[/tex]

[tex]a = \frac{3}{4} * 4^{2} *\pi[/tex]

[tex]a = 37.7[/tex]

Since there are 2 circles we need to times this value by 2:

[tex]37.7 *2 = 75.4[/tex]

2. Now let's find the area of the regtangular figures

[tex]4 * 6 * 2 = 48[/tex]

3. Now the circular part of the outside of the cylinder

[tex]4 * 2 * \pi = 25.13[/tex]

[tex]25.13 * 6[/tex] = 150.78

Since this is not the actual value we need to find 25% of this value and subtract it.

[tex]150.78 - 150.78*0.25 = 150.78 - 37.7 = 113.08[/tex]

4. Let's add these values together

[tex]113.08 + 48 + 37.7[/tex] = 198.78m

What is an equation of the line that passes through the point (-5,-2) and is parallel to the line x-y=5

Answers

Answer:

y = x + 3

Step-by-step explanation:

Parallel: x - y = 5 -> y = x - 5

Take the slope from Parallel. m = 1

Point (-5,-2) = (x_0, y_0) ,  m = 1

Point-Slope Form: [tex](y - y_0) = m * (x - x_0)[/tex]

(y - (-2)) = 1 * (x - (-5))

y + 2 = 1x + 5

y = x + 3

PLEASE HELP !! Find the volume of the sphere.

Answers

Step-by-step explanation:

(4/3)•πr³

= 4/3 • π • (1/4)³

= π/48 cubic units or 150.86 cubic units

Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

What is Volume of sphere?

The volume of sphere is the measure of space that can be occupied by a sphere. A sphere is a three-dimensional shape that has no edges or vertices.

Volume of sphere = [tex]4\pi r^{2}[/tex]

Given

Radius of sphere = [tex]\frac{1}{4}[/tex] unit

Volume of sphere = [tex]4\pi r^{2}[/tex]

= 4 × [tex]\pi[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

= 4 × [tex]\frac{22}{7}[/tex] × [tex]\frac{1}{16}[/tex]

= [tex]\frac{11}{14}[/tex]

Hence, Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

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30 POINTS!! Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.

Enter the answer as an equation.

Answers

The axis of symmetry is at X = 2

Write the standard form equation of the line parallel to y = 2x – 1 that contains the point (2,-7)

Answers

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

[tex]y=mx+b[/tex]

Using the slope-intercept form, the slope is 2.

[tex]m=2[/tex]

So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.

We use the slope 2 and a given point [tex](2,7)[/tex] to substitute for x1 and y1 in the point-slope form [tex]y-y^1 = m (x-x^1)[/tex], which is derived from the slope equation: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Now we simplify the equation and keep it in point-slope form.

[tex]y-7=2[/tex]  × [tex](x-2)[/tex]

Simplify [tex]2[/tex] × [tex](x-2)[/tex]

[tex]y-7=2x-4[/tex]

[tex]Rewrite.~y-7=0+0+2~x~(x-2)[/tex]

[tex]Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)[/tex]

[tex]Apply~the~distributive~property.~y-7=2x+2~X~-2[/tex]

[tex]Multiply~2~by~-2.~y-7=2x-4[/tex]

Last, We move all terms not containing y to the right side of the equation.

Add 7 to both sides of the equation.

[tex]y=2x-4+7[/tex]

Add −4 and 7 and your answer will be: [tex]y=2x+3[/tex]

5.) A sandwich can be made with 3 different types of
bread, 5 different meats, and 2 types of cheese. How
many types of sandwiches can be made if each sandwich
consists of one bread, one meat, and one cheese.

Answers

Answer:

30

Step-by-step explanation:

There are 30 possible types of sandwiches .

5 meats x 3 different types of bread x 2 types of cheese=  30

Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?

A Town Hall and Ice Rink
B Park and Town Hall
C Ice Cream Parlor and Town Hall
D Soccer Field and Park

Answers

Answer:

D) Soccer Field and Park

Step-by-step explanation:

Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?

Rule: (x + 4, y + 4)

Locations:

Town Hall: (4, 9)Ice Rink: (9, 10)Park: (6, 6)Ice Cream Parlor: (1, 6)Soccer Field: (2, 2)

A. Town Hall to Ice Rink

(x + 4, y + 4) → (4 + 4, 9 + 4) → (8, 13)

Town Hall (4, 9) to Ice Rink (8, 13)❌(Does not match the coordinates on the graph)

B. Park to Town Hall

(x + 4, y + 4) → (6 + 4, 6 + 4) → (10, 10)

Park (6, 6) to Town Hall (10, 10) ❌(Does not match the coordinates on the graph)

C. Ice Cream Parlor to Town Hall

(x + 4, y + 4) → (1 + 4, 6 + 4) → (5, 10)

Ice Cream Parlor (1, 6) to Town Hall (5, 10)❌(Does not match the coordinates on the graph)

D. Soccer Field to Park

(x + 4, y + 4) → (2 + 4, 2 + 4) → (6, 6)

Soccer Field (2, 2) to Park (6, 6) ✅(Matches the coordinates on the graph)

Therefore, the correct answer is D.

Hope this helps!

8.602 rounded to the nearest hundrest

Answers

Answer:

8.60

Step-by-step explanation:

8.602

since 2 is below 5 it cant change the 0

so

0 will stay 0

Using lowercase letters only, type always, sometimes or never as your answer to the following prompt.
The mode of a data set is____equal to the mean.

Always
Sometimes
Never

Answers

Answer:

The mode of a data set is ALWAYS equal to the mean.

Step-by-step explanation:

please help me with the question below

Answers

Answer:

31.41

Step-by-step explanation:

Substitute

[tex]\bold{ANSWER:}[/tex]
31.4 sq feet

[tex]\bold{SOLUTION:}[/tex]

1. Jacob buys a laptop for $356 plus tax of 6.25%. If he gives the
Cashier $400, how much change does he receive back?

Answers

Answer: $21.75

Step-by-step explanation:

356*.0625 = 22.25

so 6.25% of 356 = $22.25

356+22.25 = $378.25 (this is how much he owes)

400-378.25 = $21.75

So he recieves $21.75 back

Lisa is on a run of 12 miles. She has 4 hours to complete her run. How many miles does she need to run each hour to complete the run?

Answers

Answer:

3 miles/h

Step-by-step explanation:

You can set up a division problem to represent the equation.

12 miles÷4 hours=3 miles/hr

Find each probability for 1 roll of a regular number cube. Write as a fraction in simplest form. P(3,4 or 5)

Answers

Probability helps us to know the chances of an event occurring. The probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]


The probability of 3, 4 or 5 can be written as,

P(3, 4 or 5) = 3/6 = 1/2

Hence, the probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

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According to the information given, what can you determine about the triangles formed by Tyler, the mirror, and the peak? How do you know the relationship between the two triangles? (4 points: 2 points for correctly describing the triangles, 2 points for the explanation)

Answers

Answer:

height of the peak AB is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:In the figure attached, A is the peak of mountain AB, ED is Tyler who is 6 feet high. Mirror placed at C, is 20 feet from the base of peak. Tyler is 3 feet away from the mirror.1). When Tyler sees the peak in the mirror, angle of incidence " i " and angle of reflection " r " made by incident ray AC and reflected ray EC will be equal.Now we can easily say ∠ r = ∠ E ( Alternate angles )∠ i = ∠ A ( alternate angles)Since ∠ i = ∠ r Therefore, ∠ A = ∠ E∠B = ∠D = 90°and ∠ACB = ∠ECDHence  ΔABC is similar to ΔCDE.2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.3). tanE = tanE = 0.5 ∠ E =  degreesNow ∠E = ∠A = 26.57°Therefore, tan(26.57) = 0.5 = AB = Therefore, height of the peak AB is 40 feet.

what is the difference between 497.063 and 52.12

Answers

Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.

Select all the true statements. a. 11 meters = 1,100 centimeters b. 7 centimeters = 700 millimeters c. 5 meters = 500 centimeters d. 12 centimeters = 120 millimeters e. 9 kilometers = 900 meters

Answers

The following are true; 11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters

Conversion of measurements

Quantities are units of measurement. The following conversion factors are true

100cm = 1m1000m = 1km10mm = 1cm

Using this conversion factors to determine the true statements, the following are true;

11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters

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surely help I’ll brainlist.

construct a histogram to represent these results.

Answers

Answer:

Step-by-step explanation:

You need to first put the numbers in suitable catagories

0-120

120-130

130-140

140-150

then figure out the frequency of them

0-120=4

121-130=20

131-140=2  

141-150=2

then put in a graph(sry its not very good i was in a rush)

PLEASE HELP ASAP !!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)

Answers

Answer:

B. 1/8

Step-by-step explanation:

Chance of each number = 1

Total number of chances = 8 (including 0)

Therefore,

Chance that each number will occur = 1/8

Hope it helps:)

Have a good day!

Answer is B. 7+1 p = 1/8 so, 1/8 is the chance that each number will occur so choose B

The rug is 21 feet long and
20 feet wide. What is the
length of the diagonal?

Answers

Answer:

using hyp²=opp²+adj²

x²=21²+20²

x²=441+400

x²=841

x =/841

x=29

Answer:

It's 29 ft. Hope the picture will help you understand better.

Answer the two questions down below

Answers

Answer:

Step-by-step explanation:

a) Reflection over the x axis then a translation directly to the right

b) All the figures are conrguent since only rigid motions were used.

Use the distributive property to remove the parentheses. (-2+2w+4w)(-7)

Answers

The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

What is distributive property?

The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.

c×(a+b)=ac+ab

The given expression in the problem is,

(-2+2w+4w)(-7)

Now, use the distributive property to remove the parentheses as,

(-2+2w+4w)(-7)

-2×-7+2w×-7+4w×-7

-14-14w-28w

-14-42w

Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

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Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch.

Answers

Answer:

aaaaaa

Step-by-step explanation:

did it on edge

write in its simplest form
4/7 / 1 3/4

Answers

Answer:

16/49

Step-by-step explanation:

DIVIDE 4/7 BY 1 3/4

please help me..........asap

Answers

Answer:

I think the answer is "No, he chose only members of  specific part of the population"

Step-by-step explanation:

I think it's this one because he only did names he recognizes he didn't do the entire town

7.) The online book is $29.00 but the tax and shipping is another 25%. What will it cost me with the tax and shipping?

Answers

Answer:

$36.25

Step-by-step explanation:

Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25

Thus, total will be 29 + 7.25 = $36.25

Complete the vector to fully describe the single transformation which takes shape a to shape b translate shape a by the sector.

Answers

The single transformation that maps shape a onto shape b is [tex]\left[\begin{array}{c}-5&-5\end{array}\right][/tex]

How to determine the vector transformation?

From the figure, we have the following highlights

Both triangles are congruentTriangle B is 5 units down from triangle ATriangle B is 5 units left of triangle A

The above highlights mean that the triangle A must be translated 5 units left and 5 units down to get triangle B.

This is represented as:

(x,y) -> (x - 5, y - 5)

By vector representation, we have:

[tex]\left[\begin{array}{c}-5&-5\end{array}\right][/tex]

Hence, the single transformation that maps shape a onto shape b is [tex]\left[\begin{array}{c}-5&-5\end{array}\right][/tex]

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