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nevsk [136]
3 years ago
5

Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice on Wednesday

Mathematics
2 answers:
Solnce55 [7]3 years ago
6 0
2/3 equals 8/12

11/12 plus 8/12 will give you the improper fraction of 19/12.

19/12 also equals
1 7/12.
Olin [163]3 years ago
5 0
You first have to equalize all of the denominator

2/3 will be equal to :  8/12

Total of their practice time would be :

11/12 + 8/12    = 19/12 hours

Hope this helps
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Answer:

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Step-by-step explanation:

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Digiron [165]
The choices E and F are correct.

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3 years ago
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Enter the number of complex zeros for the polynomial function in the box. f(x)=x3−96x2+400
ioda

Solution:

There is no (zero) complex zeros for the given polynomial.

Explanation:

We apply Descartes' rule of sign to identify the number of complex roots.

The given polynomial is f(x)=x^3-96x^2+400

Let us see the number of sign changes in f(x)

+,-,+

There are 2 sign changes in f(x). One from plus to minus and second from plus to minus. Hence, there 2 or 0 positive roots.

Now, let us see the number of sign changes in f(-x)

f(-x)=-x^3-96x^2+400

-,-,+

There are only one sign change. Hence, there will be 1 negative roots.

The degree of the polynomial is 3. Hence, there will be exactly 3 zeros.

Therefore, the possible numbers of zeros are

2 positive, 1 negative and 0 complex

0 positive, 1 negative and 2 complex.

Hence, possible number of complex zeros are 0 and 2.

Now, we graph the function in xy plane and see that the graph cuts the x axis at three points. It means all the zeros are real , which is the case of first possibility (2 positive, 1 negative and 0 complex).

Hence, the number of complex zeros for the given polynomial is zero.

5 0
3 years ago
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Are the graphs of the lines in the pair parallel? Explain. y = 6x + 9 27x – 3y = –81 No, since the y-intercepts are different. Y
Dominik [7]

Answer:

No, since the slopes are different

Step-by-step explanation:

Parallel lines by definition have the same slope but different y-intercepts. The slope of the line  y = 6x + 9 is 6, the coefficient of x since the equation is given in slope-intercept form. Its y-intercept is 9.

For the second equation, 27x – 3y = –81 , we have to solve for y or re-write the equation in slope-intercept form;

-3y = -27x - 81

y = 9x + 27

The slope of this line is thus 9, the coefficient of x since the equation is in slope-intercept form. Its y-intercept is 27.

The two equations have different slopes and thus they are not parallel

4 0
3 years ago
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