Given:
Minni is arranging 3 different music CDs in a row on a shelf.
To find:
The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R).
Solution:
We know that the total number of ways to arrange n items is n!.
Minni is arranging 3 different music CDs in a row on a shelf. So, the total number of ways is:
The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
Therefore, the required sample space is {JPR, JRP, PJR, PRJ, RJP, RPJ}.
If all the power of the variables are greater than or equal to zero, then the expression is a valid polynomial.
So,
1.
are polynomials.
2.
y
2 + s
are all polynomials.
3.
If the degree of the polynomial is 3, then it is a cubic polynomial. If the number of terms of a polynomial is 3, then it is a trinomial.
Hence, 
is a cubic trinomial.
4.
The highest power is the degree.
Hence, degree of the polynomial is 2 + 4 = 6.
y + 8 = 1/3 (x+6)
With the given information, we can use the point-slope formula, , to write the equation of the line. Substitute values for the , , and in the formula to do so.
The represents the slope, so substitute in its place. The and represent the x and y values of one point the line intersects, so substitute -6 for and -8 for . This gives the following answer and equation (just make sure to convert the double negatives into positives:
Answer:
1) <2 ; 60
2) <3 ; 60
3) <4 and <3. <4 = 120 and <3 = 60
4) <1, <3, and <4 = 125. <2 = 55
Step-by-step explanation:
1)
Corresponding angles are equal
2)
Alternate interior angles are equal
3)
<4 and <3 are same-side interior angles. This makes them supplementary angles
<4 = 120
<3 = 60
4)
<1 = <4 = <3. All of these angles equal 125.
<2 + <1 = 180
<2 + 125 = 180
<2 = 55
