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dolphi86 [110]
3 years ago
5

What is the number of real solutions? –11x^2 = x + 11

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
8 0
-11 x² = x + 11
11 x² + x + 11 = 0
We will find the value of the discriminant:
D = b² - 4 a c = 1² - 4 * 11 * 11 * 1 - 484 = - 483
D < 0. There are no real solutions.
Aleks04 [339]3 years ago
8 0

Answer:

Given the equation: -11x^2 = x+11

or we can write above equation as:

-11x^2-x-11=0 or

11x^2+x+11 =0

The general equation of quadratic formula for ax^2+bx+c=0; where a, b and c are constant;

Use Discriminant formula: D =b^2-4ac

If D> 0, then there are 2 roots.

If D = 0, then there is only 1 root.

If D <0, then there are no real roots.

Now, from the given equation 11x^2+x+11 =0 we have

a =11, b= 1 and c =11

Then, using discriminant formula we have;

D =b^2-4ac =(1)^2 -4(11)(11) = 1-4\cdot 121 = 1-484= -483

⇒D<0 [ No real roots]

Therefore, for the given equation -11x^2 = x+11 , there are no real solutions.


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A restaurant has a total of 30 tables which are of two
Anna007 [38]

Answer:

Total number of tables of first type       = 23.

Total number of tables of second type = 7

Step-by-step explanation:

It is given that there are 30 tables in total and there are two types of tables.

Let's call the two seat tables, the first type as x and the second type as y.

∴                                             x + y = 30                        ......(1)

Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:

                                            2x + 5y = 81                        .....(2)

To solve (1) & (2) Multiply (1) by 2 and subtract, we get:

                                                      y = 7

Substituting y = 7 in (1), we get x = 23.

∴ The number of tables of first kind         = 23

  The number of tables of second kind   = 7

3 0
3 years ago
Solve -6 4/9-3 2/9-82/9
Gala2k [10]

Answer: The final answer in proper fraction is 169/9

Step-by-step explanation:

Given the expression

-6 4/9-3 2/9-82/9

Firstly let us convert all mixed fraction to proper fraction to further simplify the expression

-58/9 - 29/9 - 82/9

We now have all terms in proper fraction, we can continue by finding the LCM which is 9

= (- 58-29-82)/9

= 169/9

8 0
3 years ago
Can you please help me on 2 and 3?
dexar [7]
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4 0
3 years ago
the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
Find the area of the shaded region. round your answer to the nearest hundredth
Alex Ar [27]

Answer:

16 meters

Step-by-step explanation:

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