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Sedaia [141]
3 years ago
11

2x^3 + x^2 – 7x – 6 divided by 2x +3

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

           0 + x^2  -x  -2

           ___________________________________

(2x+3)  |  2x^3  +x^2  -7x  -6

           -2x^3  -3x^2

            _________

                      -2x^2 -7x

                      +2x^2  +3x

                       __________

                                   -4x  -6

                                    +2x  +6

                                   _______

                                          0

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Elina [12.6K]

In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:

[-1, 3).

<h3>How to write the interval of values in the graph using interval notation?</h3>

First, remember that the symbols ( and ) are used for ends that do not belong to the interval.

For example, if our interval is 1 < x < 2

1 and 2 do not belong to the solution interval, thus, the solution interval is (1, 2).

While [ and ] are used when the ends belong. For example, in:

1 ≤ x ≤ 2

The interval notation is [1,  2]

And in:

1 < x ≤ 2

(1, 2]

And so on.

On the number line, the notation is:

  • Colored dot: the point belongs to the interval.
  • White dot: the point does not belong to the interval.

In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:

[-1, 3).

If you want to learn more about interval notation.

brainly.com/question/26025356

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4 0
2 years ago
Please help me put them in order from least to greatest
Scorpion4ik [409]
With calculator
sqrt(102) = 10.0995
10 = 10
3pi = 9.424
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order is

9.099, 3π, sqrt(99), 10, sqrt(102), 1.1 × 10^1



5 0
3 years ago
PLEASE HELP
Eva8 [605]

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

-----------------------------------------------------------------------------------------------------------------

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

----------------------------------------------------------------------------------------------------------------

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

6 0
3 years ago
It takes 24 hours to fill a large pool with two hoses, where the water in one hose flows four times as fast as the other hose.
ivolga24 [154]
4.8 h
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3 years ago
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