Use the long division method to find the result when 6x^3+17x^2+19x+28 is divided by 3x+7.

Answers

Answer 1

Answer:

2x^2 + x + 4

Step-by-step explanation:

Use Polynomial division.

Answer 2

The value after divide will be;

⇒ 2x² + x + 4

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 6x³ + 17x² + 19x + 28 ÷ (3x + 7)

Now,

Since, The expression is,

⇒ 6x³ + 17x² + 19x + 28 ÷ (3x + 7)

Divide the expression as;

⇒ 3x + 7 ) 6x³ + 17x² + 19x + 28 ( 2x² + x + 4

               6x³ + 14x²

             -       -

           ----------------------

                        3x² + 19x

                        3x² + 7x

                      -       -

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

                              12x + 28

                              12x + 28

                            -       -

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

                                0

Thus, The solution is,

⇒ 6x³ + 17x² + 19x + 28 ÷ (3x + 7) = (2x² + x + 4)

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Related Questions

please help me solve all of these if right ill give you brainly

6x + 10 = 1x

2a 5 = 3a

7a 5 = 2a

4a + 7 = 10 + a
8x + 3 = 2x
6x 3 = 18 + x

Answers

Answer:

1. =−2

2.

3.

4. a=1

5. x=-1/2

6. x=4.2

Step-by-step explanation:

how do I type in math equations

Answers

You can take a picture of the equation you need help with and then post it as an image

if a parabola is horizontally translated 15 units left, stretch by a factor of 20, vertically translated down 30 units and reflected in the x axis determine the equation of the parabola in vertex form

Answers

your normal parabola is y=x^2 but with translations you get the form y=a(x-h)^2+k. it is horizontally shifted by 15 so h=15, the stretch factor is 20 so a=20, it is translated down by 30 so k=-30, and it is reflected in the x axis so a is negative. your answer is y=-20(x-15)^2-30. DONT OPEN ANY SKETCHY LINKS!!!

Answer:

y' = a(x'- ((h-15)/20))² + -(k-30)

Step-by-step explanation:

Vertex: (h,k)

horizontally translated 15 units left: (h-15 , k)

stretch by a factor of 20: ((h-15)/20 , k)

vertically translated down 30 units: ((h-15)/20 , k-30)

reflected in the x axis: ((h-15)/20 , -(k-30))

Vertex' (h' , k'): ((h-15)/20 , -(k-30))

Equation: y' = a(x'-h')² + k'

y' = a(x'- ((h-15)/20))² + -(k-30)

Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-21 – 3. As x approaches negative infinity, f(x) approaches As x approaches positive infinity, 4(x) approaches v infinity. v infinity.

(the choices for each box is negative or positive)​

Answers

Answer:

negative

positive

Step-by-step explanation:

Answer: positive

positive

Step-by-step explanation:

find the 13th term of the geometric sequence 5,10,20,...​

Answers

Answer:

5x13=?

Step-by-step explanation:

Answer:

20480

Step-by-step explanation:

The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A = {Monday, Tuesday,Wednesday, Thursday, Friday} and B = {Friday, Saturday, Sunday}, find the indicated set.

A intersect B '

Answers

Answer:

{Monday, Tuesday, Wednesday, Thursday}

Step-by-step explanation:

First we need to get the complement of B i.e B'

B' are the set in the Universal set but that are not in B

B' = {Monday, Tuesday, Wednesday, Thursday}

A= {Monday, Tuesday, Wednesday, Thursday, Friday}

A intersect B ' are the days of the week that are common to both sets;

A intersect B ' = {Monday, Tuesday, Wednesday, Thursday}

A pair of sneakers that normally cost $120 have their price reduced by 25%.
What is the sale price of the sneakers?
The sales price of the sneakers is $

Answers

Answer:

$90.00

Step-by-step explanation:

120.00 x 25% = 30.00

120.00 - 30.00 = $90.00

can someone help me with this question thanks! : )

Answers

Answer:

C) [tex]x^7-x^6+2x^5-3x^4+4x^3+6x-3[/tex]

Step-by-step explanation:

[tex]x^3+2x-1(x^4-x^3+3)\\x^7-x^6+3x^3+2x^5-2x^4+6x-x^4+x^3-3\\x^7-x^6+2x^5-3x^4+4x^3+6x-3[/tex]

if you are in school for 178 days for 6 hours and 40 minutes how many hours and minutes would you be in school over all​

Answers

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

178*(6*60+40)
71200min
1186.66hrs

3
Drag the labels to the correct location on the table. Each label can be used more than once.
Identify the attributes of these functions.
minimum at (1,11)
maximum at (-1,-11)
symmetric about the line x = 1
no x-intercepts
symmetric about the line x = -1
range:(-00, -11]
f(x) = -5x + 11 - 11
h(x) = 15(x - 1)] + 11

Answers

For  f(x)=-5|x+1|-11:

no x-intercept

range(-infinite,-11)

symmetric about the line x= -1

maximum at (-1,-11)

For  h(x)=|5(x-1)|+11:

no x-intercept

symmetric about the line x= 1

minimum at (1,11)

Plz help I am bad at this

Answers

your answer is either A or D

help please i dont get these and please show work if u can thxs

Answers

Answer:

Step-by-step explanation:

A = 180°-90°-50° = 40°

Use Law of Sines to find a:

a = b⋅sinA/sinB ≈ 20.1 units

Use Pythagorean Theorem to find c:

c = √(a² + b²) ≈ 31.3 units

:::::

sin(x) = 16/25

x = arcsin(16/25) ≈ 39.8°

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917

Yaritza and eddy race to school on their bikes. Yaritza bikes 2 miles in 12 minutes, eddy bikes 3 miles in 15 minutes. Who is going faster?

Answers

I’m pretty sure it’s eddy because 12 divided by 2 = 6 and 15 divided by 3 is 5. And 5 minutes (eddy’s time to do one mile) is less than 6 minutes (Yaritza’s time to do one mile)

One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon.

Answer the questions below.

1. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.



2. Is the cost of gas greater in Buffalo or in Toronto?



3. How much greater?

Answers

Answer:

The cost of one gallon of gas in Toronto, Canada is $3.458.

Solution:

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

dome7w and 28 more users found this answer helpful

Step-by-step explanation:

2 · y - 8 ÷ 4 when y = 7

Answers

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plugin y = 7 in the expression

y - 8 ÷ 4 = 7 - 8÷ 4      { here division has to be done first as per PEDMAS}

              = 7 - 2

              = 5

72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES?
correct=brainliest

Answers

Answer:

2 yards

Step-by-step explanation:

1 yard = 3 feet

Answer:

2 yards

Step-by-step explanation:

Pls help me find the area

Answers

I might be wrong but I think all you have to do is 6 x 6 and then multiply that answer by 3

Answer:

27

Step-by-step explanation:

6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27

the expression (x^12)(x^25)^2 is equivalent to x^p . what is the value of p

Answers

Answer:

p = 6

Step-by-step explanation:

[tex](x^{2})(x^{2})^{2}[/tex]

[tex](x^{2}) ^{2}[/tex] is [tex]x^{2*2}[/tex]

The equation is now [tex](x^{2} )(x^{4})[/tex]

add the two exponents together 2 + 4

the final answer is [tex]x^{6}[/tex]

how many sec are in 1 year ?

Answers

Answer:

31536000 seconds

Step-by-step explanation:

The asnwer is 31536000 seconds.

Find the length of side a.

Answers

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

[tex]a^2 = \sqrt{25}[/tex]

a = 5

find the value of given expression

[tex] \sqrt{300 \times 3} [/tex]

Answers

Answer:

√(300×3)=√900=√30²=±30 is your answer

Examine the equation.

–2(–x + 9) = 2(x – 9)
2x – 18 = 2x – 18
This equation has

Answers

Answer:

infinite solutions

Step-by-step explanation:

Answer:

infinite many solutions.

Step-by-step explanation:

I got it correct in edge

Write and expression for the phrase, "8 less than k".
PLEASE PLEASE PLEASE PLEASE HELP HELP HELP ME ME ME ME ME!!

Answers

Answer: k - 8

Step-by-step explanation:

k - 8

the answer would be 8 less than the value of k

Yolonda withdrew 60 dollars from her checking account.Write a signed number to represent this change in her account.

Answers

Answer:

$ 60.00

Step-by-step explanation:

.

How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 5% ​antifreeze?

Answers

Answer:

95% of a gallon of water, .95, or 19/20 as a fraction

Step-by-step explanation:

PLEAS HELP
I WILL GIVE THE BRAINLIEST.


Each day, the tigers at Baudean's Gulf Coast Sanctuary are each fed 5 pounds
of food for every 100 pounds of body weight. Shiva, a female tiger at the
sanctuary, weighs 360 pounds. How much food should she be fed daily? (Hint:
set up a proportion).

Answers

Answer:

15 and 4 1/4 pounds of meat to the female tiger

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

Step-by-step explanation:

First, prove that triangle ABX is congruent to ACX.

By the reflexive property of Congruence AX=AX.

By SSS, triangle ABX is congruent to ACX.

By the CPCTC Theorem Angle BAX is equal to angle CAX.

By the definition of an angle, bisector AX bisects angle BAC

If this helped please consider giving brainliest.

Which group of data isbthe most clustered? A 76,84,86 B 5,8,7,11,14,8 C 25,50,50,25,75,75 D 23,25,28,29,30

Answers

Answer:

C

Step-by-step explanation:

Clustered data emerge when the data from the entire sample can be grouped into a variety of different categories, refers to as clusters. Each cluster involves numerous observations, giving the data a “clustered” or “hierarchical” structure, with each observations encapsulated within the cluster.

Also, if we plot a series of numbers on a graph and we will see several of our dots gathered together, we have a cluster

From the above definition of clustered data the only option that is fitting into it is option C .

25,50,50,25,75,75

A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $37.00

Answers

Answer:

63.00

Step-by-step explanation:

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.

Answer: 84

Step-by-step explanation: do 42 dived by 50% gets you 84

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