1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lapo4ka [179]
2 years ago
13

Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3

Mathematics
2 answers:
solniwko [45]2 years ago
8 0

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Usimov [2.4K]2 years ago
3 0

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

You might be interested in
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
Nesterboy [21]
52.5

Explanation:
x/18. 30/100 cross multiply 30*18=5250
5250 divided by 100= 52.5
5 0
2 years ago
Read 2 more answers
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
2 years ago
Read 2 more answers
I need help on how to do this as soon as possible please
AfilCa [17]

Answer:

11

Step-by-step explanation:

m∠1  = m∠2  {Corresponding angles}

78 - 2x = 89 - 3x

Add 3x to both sides

78 - 2x + 3x = 89

78 + x = 89

Subtract 78 from  both sides

x = 89 - 78

x = 11

6 0
3 years ago
I need help on how to do combinations
Veronika [31]
Ok sure! Let's start with the marbles first. We have one red one blue and one green. There is a red and a blue cube. All we do is list the possible combinations of one marble and one cube. The answer would be : 1 blue marble, 1 blue cube. 1 red marble, 1 blue cube. 1 green marble, 1 blue cube. Then again but with the red cube. So in all, there are 6 possible combinations. Hope this helps. ☺️
3 0
3 years ago
how many liters is 70% alcohol solution must be added to 50 L of 40% alcohol solution to produce a 50% alcohol solution
Anettt [7]

Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

 

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

 

then 0.7X + 50L.4 ÷ X + 50L = 0.5

 

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

 

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

 

which is a final concentration of 50%

3 0
3 years ago
Other questions:
  • What is the factored form of the difference of two squares.<br>  
    9·1 answer
  • Jennifer wants to buy new basketball shoes. She has $75 and plans to save $15 a week. How many weeks would she need to save if t
    14·1 answer
  • PLEASE ANSWER ASAP!!!!
    11·1 answer
  • Each half of the drawbridge is about 284 feet long. How high does the drawbridge rise when x is 30?? The drawbridge rises about
    15·1 answer
  • A graduated cylinder is filled with 36 cm 3 of liquid the liquid is poured into a different cylinder that has a radius of 3cm ,
    5·1 answer
  • Why is it important that the instruction say to assume that no denominator equal 0
    5·1 answer
  • What are the zeros of f(x) = x2 - 8x+16?
    12·1 answer
  • 4y = 5x is this a direct variation?
    9·1 answer
  • The graph represents function 1 and the equation represents function 2:
    6·1 answer
  • Which function has the greatest y-intercept?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!