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
AVprozaik [17]
3 years ago
15

Use Synthetic Division to divide 6x^3-10x^2+20 by x+1 Quotient:_____ Remainder:_____

Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

the quotient is 6x^2 - 16x + 16, and the remainder is just 4

Step-by-step explanation:

The polynomial 6x^3-10x^2+20 has coefficients {6, -10, 0, 20}.  Division by the binomial x + 1 requires that we use -1 as the divisor.  The synthetic division setup becomes:

-1   /    6    -10    0    20

                 -6    16   -16

     -----------------------------

          6     -16   16       4

Taking the coefficients {6, -16, 16}, we write the quotient as

6x^2 - 16x + 16, and the remainder as just 4.

You might be interested in
B2+4 <br> when b =3<br><br> help me please !!!!
Vadim26 [7]

Answer:

10

Step-by-step explanation:

P.s. Coefficient always goes before the variable

= 2b + 4

= 2(3) + 4    Substitute b for 3

= 6 + 4

= 10

8 0
2 years ago
Read 2 more answers
The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l
Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0
3 years ago
Rewrite each of the following expressions without using absolute value bars.
Slav-nsk [51]

Answer:

A |x−4| if x>4

Step-by-step explanation:

8 0
2 years ago
16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is
Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour =  $8.75 per hour

The current salary of per hour  = $16.50 per hour

Change in the salary rate per hour  =  Current salary  -  Previous Salary

                                                             = $16.50 per hour -  $8.75 per hour

                                                             =$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, \textrm{Percentage Change in salary}  = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}}  \times 100

= \frac{7.75}{8.75}  \times 100 = 88.57

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0
3 years ago
HELP PICTURE IS SHOWN
scoray [572]
The answer is letteer C. You just have to multiply 9 and pi
8 0
3 years ago
Read 2 more answers
Other questions:
  • Justin travels at 70 km/h on his motorcycle. If the speed limit is 50 mi./hr., is he speeding? Why or why not?
    13·2 answers
  • Which number goes in the box to make this a true number sentence?<br><br> 8 × (5 + 7) = 40 +
    12·1 answer
  • Find the value of x?<br><br> Enter your answer in the box.
    14·1 answer
  • How many six digit numbers can be created using 8, 0, 1, 3, 7, and 5 if each number is used only once?
    10·2 answers
  • What is the 8th term of a(n)=6•3^(n-1)
    5·1 answer
  • Welp..................................................
    15·2 answers
  • Guys, please help me!!!!!! I'll give you brainly and a ton of points!
    12·2 answers
  • 5.3g + 8 = 3.3g + 20
    11·1 answer
  • You travel 243 miles in 4.5 .find the speed you travel.
    11·2 answers
  • 10=7-m<br> h+6/5 =2<br> 6+5(m+1)=26
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!