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3 years ago

Which shows the correct way to divide 2x^3 + 6x^2 – 2x – 5 by x + 3 using synthetic division?

2 answers:

8 0

Simplifying
x4 + -2x3 + 6x2 + -2x = 5

Reorder the terms:
-2x + 6x2 + -2x3 + x4 = 5

Solving
-2x + 6x2 + -2x3 + x4 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + -2x + 6x2 + -2x3 + x4 = 5 + -5

Combine like terms:
5 + -5 = 0 -5 + -2x + 6x2 + -2x3 + x4 = 0

The solution to this equation could not be determined

marshall27 [118]3 years ago

6 0

$2x^3 + 6x^2 -2x - 5$
by x+3 , negative -3

-3
|2 |6 |-2 |-5|
|2 |0 |-2 |1 |
$2x^2+0x-2+(r1)=2x^2-2+\frac{1}{x+3}$

$\frac{2x^3 + 6x^2 -2x - 5}{x+3}=2x^2-2+\frac{1}{x+3}$

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Can someone please help?

Darya [45]

Answer:

a) f(x) = (-1/3)x + 8

b) f(x) = (1/3)x + 9

Step-by-step explanation:

f(x) = 1/3x - 8

a) To reflect across the x axis multiply f(x) by -1.

-f(x) = -1 (1/3x - 8)

= (-1/3)x + 8

b) to translate up 17 units add 17 to f(x)

f(x) + 17=

= 1/3x - 8 + 17

= 1/3x + 9

3 0

3 years ago

16/18 into simplest form

svlad2 [7]

Answer=8/9

16/18=8/9

if you divide 16 and 18 by 2, you get 8 and 9

4 0

4 years ago

Read 2 more answers

Complete the sequence of numbers in the set. Explain the pattern.The completed sequence of numbers is 8.5, 7.15, 5.8,

Mademuasel [1]

Answer:

$8.5,7.15,5.8,4.45,3.1,...$

Step-by-step explanation:

The first step to solve this question is to analyze the given sequence.

We can notice that the difference between 8.5 and 7.15 is

$8.5-7.15=1.35$

And again the difference between the second and the third term is :

$7.15-5.8=1.35$

One way to describe all the numbers in the sequence is by using a formula.

We can write :

Given the sequence $a_{0},a_{1},a_{2},a_{3},...$

$a_{n}=8.5-(1.35)n$ with $n$ ∈ I $N_{0}$

For example :

$a_{2}=8.5-(1.35).2=5.8$ which verifies our original sequence.

We can obtain any term we want of the sequence.

Some of the terms that complete the sequence are :

$8.5,7.15,5.8,4.45,3.1,...$

8 0

4 years ago

2x^2+3x-9=0 what is this answer

AlladinOne [14]

Answer:

$x = 3 \: \: \: \: \: \: or \: \: \: \: x = - \frac{3}{2}$

Step-by-step explanation:

$2x^2+3x-9=0 \\ 2x {}^{2} + 3x - 6x - 9 = 0 \\ x(2x + 3) - 3(2x + 3) = 0 \\ (x - 3) \: \: \: \: or \: \: \: \: \: (2x + 3) = 0 \\ x - 3 = 0 \: \: or \: \: \: 2x + 3 = 0 \\ x = 3 \: \: \: \: \: \: \: \: \: or \: \: \: \: x = - \frac { 3}{2}$

5 0

3 years ago

Evaluate the following expression. 153^0

laiz [17]

Any number except 0 to the power of 0 is 1.
Thus,
153⁰ = 1

3 0

4 years ago

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