divide 26x^4 - 13x^3 - 74x^2 - 46x - 24 by 2x^2 - 3x -5 and verify the result by division algorithm

Answers

Answer 1

Answer:

Step-by-step explanation:

Using long division:

                        13x^2 + 13x + 15   <------------Quotient

                       _________________________

2x^2 - 3x - 5 )  26x^4 - 13x^3 -  74x^2 - 46x - 24

                        26x^4 - 39x^3 - 65x^2

                                     26x^3 -   9x^2  - 46x

                                     26x^3 -  39x^2 - 65x

                                                    30x^2 + 19x   - 24

                                                    30x^2  - 45x  - 75

                                                                   64x + 51  <---- Remainder.     Division algorithm:

a = bq + r

Here a = the original expression , b = the divisor (2x^2 - 3x - 5), q is the quotient and r = the remainder,

26x^4 - 13x^3 - 74x^2 - 46x - 24 = (2x^2 - 3x - 5)(13x^2 + 13x + 15) + 64x + 51

= 2x^2(13x^2 + 13x + 15) - 3x(13x^2 + 13x + 15) - 5(13x^2 + 13x + 15) + 64x + 51

= 26x^4 + 26x^3 + 30x^2 - 39x^3 - 39x^2 - 45x - 65x^2 - 65x - 75+64x+51

= 25x^4 - 13x^3 - 74x^2 - 46x - 24 which is the same as the above.

                                                         

                                                   

                   

                 


Related Questions

How do you solve this?

Answers

Answer:

Well one do the square root of 16

Answer:

1 and 9

Step-by-step explanation:

[tex]5-\sqrt{16}[/tex]

[tex]5+\sqrt{16\\[/tex]

Find the midpoint of points A(-3,9) and B(0, 1) graphically.


Answers

Answer:

[tex](-\frac{3}{2} , 5)[/tex]

Step-by-step explanation:

The graph is in the image

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\[/tex]

What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84

Answers

Answer:

x = − 5

Step-by-step explanation:

Divide each term by  − 14  and simplify.

Answer: x =5

Step-by-step explanation:

14x/14= 70/14

X = 5

two more than4 times a number is -18

Answers

-5, work backwards. you know 2 + 4 * ? = -18.
start by subtracting 2 from both sides giving you 4 * ? = -20.
now you divide 4 from both sides giving you ? = -5

i used ? to represent the missing number btw!!

Each side of a regular pentagon is m+10 inches. The formula for finding the perimeter of the pentagon is shown below.

Answers

Answer:

5m+50

Step-by-step explanation:

since it's regular all sides are equal

it's have 5 sides of m+10

[tex]P=5(m+10)\\\\P=5m+50[/tex]

An irrational number multiplied to a zero equals a rational number
O True
O False

Answers

Answer:

Irrational

Step-by-step explanation:

Answer:

false. an irrational number multiplied to a zero equals an irrational number.

ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75

Answers

Answer:

$140

Step-by-step explanation:

i assume ur asking for how much is left over

250-35= 215

215-75= 140

$140 left

5x+ 9 = 80
O A
x = -7 or x= 25
OB.
x= -25 or x= 7
O C.
x= 7 or x= 16
OD.
x= -25 or x= 9

Answers

Answer:

I do not see anything that matches what I got. I got x=14.2

Step-by-step explanation:

5x+9=80

5x=71

x=14.2


Supervisor: "Representatives can credit a customer's account up to 20% of the full
amount due on the bill."
Representative: "My customer is threatening to leave our company. The customer's
bill is $333.00. I could offer the customer a credit of
$40.00
$48.00
$55.00
$60.00
$66.60

Answers

Answer:

$66.6

Step-by-step explanation:

Given that,

The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full  amount due on the bill.

We need to find 20% of $333 as follows :

[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]

Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).

5% of what number is 90?

Answers

Hey there!

ANSWER: [tex]4.5 \text { and }1800[/tex]

EXPLANATION:

5% of what is 90?

If you want to find 5% of what is 90, you can try doing 90/5%.

[tex]90/5[/tex]%[tex]=1800(ANSWER)[/tex]

To get the decimal form, you can do 90*5%.

[tex]90*5[/tex]%[tex]=4.5(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

27 is nine more than six times
Hugo's age. What is Hugo's
age?

Answers

Hugo is three years old

Answer:

3

Step-by-step explanation:

First, subtract 9 from 27:

27 - 9 = 18

Next, divide 6 from 18:

18/6 = 3

3 is Hugo's age.

~

Solve 1-4 to be mark brainiest and show your work!

Answers

Answer:

Hope you understand not to sure but that's what I got

What is the best estimate of 18x709?

Answers

Answer:

12762

Step-by-step explanation:

Use google

Answer:

12672

Step-by-step explanation:

Solve the inequality and graph the solution set for 2(3r − 10) ≤ 3r − 5

Answers

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2

Answers

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

Jaden bought extra chicken because they’re on sale he wants to store them in the freezer which is such a -2°F he decided to turn the freezer down to another 5° to be sure they don’t spoil

Answers

Answer:

-2 - 5

-(2+5)

=7

Answer: -7 °F

A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes

Answers

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545


If x is 6, then 7x =

Answers

Answer:

42

Step-by-step explanation:

Answer:

42 is the answer because 7*6

SIMPLIFY THE EXPRESSION THEN MATCH TO ANSWER (USE ORDER OF OPERATIONS) PLS HELP I DONT UNDERSTAND TY I APPRECIATE IT

Answers

plz I need a link to solve that

Subtract.(–3x2+4x4–8x)–(–6x+3x4+2)

Answers

Answer:

x⁴ - 3x² - 2x - 2

Step-by-step explanation:

Step 1: Write out expression

(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)

Step 2: Distribute negative

-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2

Step 3: Combine like terms (x⁴)

x⁴ - 3x² - 8x + 6x - 2

Step 4: Combine like terms (x)

x⁴ - 3x² - 2x - 2

1. -x divided by 11
2. z multiplied by - 5
working pls

Answers

Answer:

1. [tex]-x \div 11 = \frac{-1}{11}x[/tex]

2. [tex]z \times -5 = -5x[/tex]

Hope this helped you!

3.88 milligrams is equal to how many centigrams?

-0.0388 centigrams
-0.388 centigrams
-38.8 centigrams
-388 centigrams​

Answers

Answer:

B

0.388 centigrams :)

B it would be 0.388 centigrams !

olve. 4 + x 7 = 2 A) -14 B) 10 C) 12 D) 42

Answers

Answer:

-14 I believe

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Chemistry, Psychology, Math, History}, B = {Drama, English, French, Math, History}, and C = {Physics, Psychology, French}. Find the following. n(B ∪ C)

Answers

Drama, English, French, Math, History, Physics, Psychology

Will give brainliest answer

Answers

Answer:

8- ff fj hfghgggģrdvbuhgffffgbhjjhhh


(You will need a calculator.) Suppose you deposit $4800 into an account paying 3.2% simple annual interest and leave it there for six years.
Assuming that you make no other deposits or withdrawals, how much will the account hold at the end of that time?
Answer: $
(Round your answer to the nearest cent. Enter only the number without commas, not the dollar sign.)

Answers

The answer is 38,016. You have to multiply 4800 by 6 which equals 28,800. then multiple 0.32 times 4800 which equals 1538. multiply 1538 by 6 which equals 9,216 and then add 28,800 which equals it to 38,016.

Answer:

Step-by-step explanation:

principal (P) = $4800

Interest (I) = 3.2%

Time (T) = 6 years

Now

I = (P*T*R)/ 100 = (4800*3.2*6) / 100 = 921.6

Amount (A) = P + I = 4800 + 921.6 = $5721.6 = $5272

     

Find f (7) when f (x) = -5x + 2.

Answers

Step-by-step explanation:

f(x) = -5x + 2

f(7) = (-5)(7) + 2

= -35 + 2

= -33

Answer:

f (x) = -5x + 2.

= -5*7+2

= -13

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Is the square root of 3,600 rational or irrational? Explain.

Answers

Answer:

Rational. the square root of 3600 is a real, rational number, 60.

Step-by-step explanation:

Answer: Rational

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is an integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

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

Square root of 3600=60

60

It is an integer, which fits the first point

So, it is rational

Hope this helps!! :)

The measure of angle

Answers

Answer:
120 degrees

Explanation:
Opposite angles (angles that are on opposite sides of an intersection) are equal to each other. Because angle 2 and 120 degrees are opposite angles, angle 2 is equal to 120 degrees.

I hope this helped if it did, a brainliest would be much appreciated:)

0.0769 to the nearest hundred

Answers

Answer:

0.0800

Step-by-step explanation:

Answer:

[tex]0.0769[/tex] rounded to the nearest hundred is: [tex]0.08[/tex]

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Hope this helps you!

Other Questions
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