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2 years ago

Which of the following scenarios best describes division of a polynomial using synthetic division? Select all that apply.

2 answers:

4 0

The correct answers are:

1, 3 and 4.

Explanation:

We use synthetic division to divide a polynomial by a binomial of the form x-c, where c is a constant. x-c is a linear term, so 1 is true.

When we begin synthetic division, we place the value of c outside the box. Since c is a constant, and not a variable, then 2 is not true.

When we finish synthetic division, if there is a number other than 0 in the last term of the quotient (answer), this is a remainder. This makes 3 true.

When converting the answer from synthetic division to a polynomial, we use our numbers in the quotient as the coefficients of variables, starting with exponents that are 1 less than the original dividend; this makes 4 true.

densk [106]2 years ago

3 0

Thank you for posting your question here at brainly. Among the choices the scenarios best describes division of a polynomial using synthetic division are the below:

3. If there is a number in the last term of the quotient, then there is a remainder.

4. The quotient is written as a polynomial with a degree one power greater than the original dividend.

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2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X

tresset_1 [31]

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

Therefore 40 lbs of upward force must be pushed to open the valve.

Answer: B

3 0

2 years ago

Complete the squares so that the differences shown on the outside are correct

leonid [27]

8 5 and 18 8

7 2 9 2

8 - 5 = 3, 8 - 7 = 1, 5 - 2 = 3 and 18 - 8 = 10, 18 - 9 = 9, 9 - 2 = 7, 8 - 2 = 6

4 0

2 years ago

Read 2 more answers

Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D

rosijanka [135]

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

$C=[x|x^{2}-4x+3]\\solving x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1$

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

Hence the set D can be expressed as

D={0,1,2,3,4,5,6}

In conclusion, when all the set are compared only set A and set C are equal

5 0

2 years ago

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

PilotLPTM [1.2K]

Answer:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

$y = 47(1.191)^x$