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Darya [45]
3 years ago
14

Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.

Mathematics
2 answers:
VashaNatasha [74]3 years ago
4 0

Answer:

x^2+7x+3 R0

Step-by-step explanation:

3x+2 | 3x^3+23x^2+23x+6

        - 3x^3+2x^2                    (x^2)

_____________________

                    21x^2+23x+6

                  - 21x^2+14x           (7x)

______________________

                                 9x+6

                               - 9x+6      (3)

_________________________________

                                        0     | x^2+7x+3

Therefore, your quotient is x^2+7x+3

horsena [70]3 years ago
3 0

Answer:

x^{2} + 7x+3

Step-by-step explanation:

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postnew [5]

Correct question is;

Peter wants to make four necklaces that are the same way. He asked his friends to cut the string for the necklace 15 paper clips long. Would all the lengths be the same? Explain your think

Answer:

No, the lengths would not be the same. This is due to the fact the the paper clips could be in different sizes.

Step-by-step explanation:

We are told that he wants to make four necklaces that are the same way and that he told his friends to cut the string for the necklace 15 paper clips long.

Now, we are not told the sizes of the paper clips and we know that paper clips come in different sizes. Thus the paper clips in which the strings are cut could be in different sizes. Therefore, the lengths wouldn't be the same due to that.

5 0
3 years ago
Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10
aniked [119]

we have the inequality

\lvert5x+4\rvert\leq10

step 1

Find out the first solution (positive case)

\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

-(5x+4)\leq10

Multiply by -1 both sides

\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0
1 year ago
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)
mamaluj [8]

Answer:

First option:  \left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and  "b" is the y-intercept.

We can observe that:

1. Both lines have the same y-intercept:

b=3

2. The lines are solid, then the symbol of the inequality must be \leq or \geq.

3. Since both shaded regions are below the solid lines, the symbol is:

\leq

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.

6 0
3 years ago
Read 2 more answers
Help me with quistion 1 and 2
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The answer to number 1 is B
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3 years ago
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Avary wanted to buy a gold necklace that cost $578. She pain an initial amount of $128 and agreed to pay the rest in monthly ins
serg [7]

Answer:

75 each month

Step-by-step explanation:

578-128=450

450/6=75

7 0
2 years ago
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