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yanalaym [24]
3 years ago
5

URGENT HELP NEEDED!!!

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Answer:

60

Step-by-step explanation:

There are 5 different ways to choose the first class.

There are 4 classes left to choose from.

There are 4 different ways to choose the second class.

There are 3 classes left to choose from.

There are 3 different ways to chooses the third class.

5*4*3 = 60

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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
melomori [17]

Answer:

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}<em>. </em>

Let be r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9} and r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9} roots of the quadratic function. By Algebra we know that:

y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} (1)

Then, the quadratic polynomial is:

y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}

y = 81\cdot x^{2}-36\cdot x -19

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

5 0
3 years ago
2 questions in one.<br> Help?..
daser333 [38]

Answer:

2. 3

3. 4^45

Step-by-step explanation:

{ ({5}^{4} ) }^{m}  =  {5}^{12}  \\  =  >  {5}^{4m}  =  {5}^{12}  \\  =  > 4m = 12 \\  =  > m =  \frac{12}{4}  \\  =  > m = 3 \\  \\ number \: of \: books \: at \: library \\  =   {({4}^{9})}^{5}   \times  {4}^{0}  \\  =  {4}^{45}  \times 1 \\  =  {4}^{45}

4 0
3 years ago
Read 2 more answers
Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9
amm1812
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form
8 0
3 years ago
Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: N(0,5)
tino4ka555 [31]

Answer:

I believe b is 5.

Step-by-step explanation:

When you place the points in the values, you get 5=3(0)+b. When you simplify it, you get 5=b. I really hope this is correct, I apologize if it isn't! I hope this helps! :)

4 0
4 years ago
Read 2 more answers
What is the estimate of the sum of 6/10 + 7/12
aleksandr82 [10.1K]
71/60.  You change the denominators(bottom numbers) to 60 because that is the smallest number that both 10 and 12 can go into. Then you just add.
8 0
3 years ago
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