Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term
contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term
contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term
contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
This is the distributive property:
<em>ab</em> + <em>ac</em> = <em>a</em> (<em>b</em> + <em>c</em>)
In this case, you have
<em>a</em> - <em>a</em> (1.2⁴)
and <em>a</em> is a common factor to both <em>a</em> and <em>a</em> (1.2)⁴, so you can pull it out as
<em>a</em> (1 - 1.2⁴)
Answer:
66 2/3 %
Step-by-step explanation:
First find the students not in the 8th grade
24 - 8 = 16
16 students are not in the 8th grade
Take the fraction of the students not in the 8th grade over the total
16/24 = 2/3
Change to a decimal
.66666666666
Multiply by 100 to change to a percent
66.666666%
66 2/3 %
Since 20 is a factor of 40, the least common denominator of 3/20 and 9/40 is 40.