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algol13
3 years ago
5

What is the quotient when −3x3 + 5x + 14 is divided by x − 2?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
6 0
The answer is A. -3x2 - 6x - 7
Anika [276]3 years ago
6 0

Answer:

-3x^{2} -6x-7

Step-by-step explanation:

The given expression is :

\frac{-3x^{3}+5x+14}{x-2}

Factoring -3x^{3}+5x+14

Factor out common term -1

3x^{3}-5x-14

Now dividing leading coefficients of numerator and divisor.

\frac{3x^{3}}{x}=3x^{2}

Multiplying x-2 with 3x^{2} = 3x^{3}-6x^{2}

Subtracting 3x^{3}-6x^{2} from 3x^{3}-5x-14

we get 6x^{2} -5x-4

Therefore, \frac{-3x^{3}+5x+14}{x-2} = 3x^{2} +\frac{6x^{2}-5x-14}{x-2}

Now repeating these same steps until (x-2) is factored out, we get the quotient as :

-3x^{2} -6x-7

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A bag of marbles contains three blue, one black, and four
Veseljchak [2.6K]

Answer:

  • 3/14

Step-by-step explanation:

  • Blue = 3
  • Black = 1
  • Yellow = 4

Total = 3 + 1 + 4 = 8

<u>Probability of two yellows:</u>

  • 4/8*3/7 = 3/14
5 0
2 years ago
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tick
RSB [31]

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

5 0
3 years ago
What’s the correct answer for this question?
choli [55]

Answer:

C

Step-by-step explanation:

A cylinder is formed when rotating the 3-D figure around y-axis

3 0
3 years ago
What is the common ratio for the geometric sequence? 32, 8, 2, 12, ... Enter your answer in the box.
mamaluj [8]

Answer:

Given sequence is not a geometric progression and there will be no common ration for this sequence.

Step-by-step explanation:

Need to determine common ration for the following geometric sequence

32, 8, 2, 12, ...

In given geometric sequence  

a1 = 32, a2=8, a3=2, a4=12 ……….

Common ratio = \frac{a_2}{a_1} =\frac{a_3}{a_2} =\frac{a_4}{a_3}

\frac{a_2}{a_1}=\frac{8}{32}=\frac{1}{4}

\frac{a_3}{a_2} =\frac{2}{8}=\frac{1}{4}

\frac{a_4}{a_3}=\frac{12}{2}=6

Since \frac{a_2}{a_1}=\frac{a_3}{a_2}\neq\frac{a_4}{a_3}  so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.

3 0
3 years ago
Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range
zmey [24]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

The table represents a logarithmic function.

The domain represents the set of x values.

From the table, we can see that all the x values are positive values i.e. x > 0

Hence, the domain of the function is x > 0

<h3>How to determine the range?</h3>

From the table, the table outputs all zero, positive and negative numbers

This means that the range is the set of all real numbers.

Hence, the range of the function is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

#SPJ1

7 0
2 years ago
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