Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:

Where "k" is the constant of proportionality.
We can choose the point
) from the table, where:

Substituting these values into
and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For
:

2) For
:

3) For
:

Hello,
x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)
Let's use Horner's division
.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3
The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3
Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0
And here, Mehek are there sufficients explanations?
Well, 0.03= 3%
So i divided 8.4 by 100 and i got 0.084.
Then I multiplied that by 3 (because 3%) and i got the answer of 0.252
Answer:
$1,344,300
Step-by-step explanation:
The difference on a yearly basis is ...
$80,000 -35,190 = $44,810
Over 30 years, that difference adds up to ...
$44,810 × 30 = $1,344,300
Answer:
12:10 or 6:5
Step-by-step explanation:
If 2 more girls join, the ratio will be 12:10 or 6:5.