Use the regression calculator to compare the teams’ number of runs with their number of wins.
2 answers:
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ANSWER TO QUESTION 1
We multiply through by the Least Common Multiple which is 2.
We expand brackets to obtain,
Grouping like terms, have
Whenever you solve an equation and you get the above result, you don't have to get confuse.
It simply means the question does not have a UNIQUE solution.
That any real number will number will satisfy the above equation.
Hence,
ANSWER TO QUESTION 2
We factor x to obtain;
We divide both sides by (a+b)
We multiply through by the Least Common Multiple which is 2.
We expand brackets to obtain,
Grouping like terms, have
Whenever you solve an equation and you get the above result, you don't have to get confuse.
It simply means the question does not have a UNIQUE solution.
That any real number will number will satisfy the above equation.
Hence,
ANSWER TO QUESTION 2
We factor x to obtain;
We divide both sides by (a+b)
Answer:
a) and
, b)
, c)
, d)
.
Step-by-step explanation:
a) After we read the statement carefully, we find that rational-polyomic function has the following characteristics:
1) A root of the polynomial at numerator is -2. (Removable discontinuity)
2) Roots of the polynomial at denominator are 1 and -2, respectively. (Vertical asymptote and removable discontinuity.
We analyze each polynomial by factorization and direct comparison to determine the values of ,
and
.
Denominator
i) Given
ii) Factorization
iii) Compatibility with multiplication/Cancellative Property/Result
After a quick comparison, we conclude that and
b) The numerator is analyzed by applying the same approached of the previous item:
Numerator
i) Given
ii) Distributive Property
iii) Distributive and Associative Properties/
/Result
As we know, this polynomial has as one of its roots and therefore, the following identity must be met:
i) Given
ii) Compatibility with addition/Modulative property/Existence of additive inverse.
iii) Definition of division/Existence of multiplicative inverse/Compatibility with multiplication/Modulative property/Result
The value of is -10.
c) We can rewrite the rational function as:
After eliminating the removable discontinuity, the function becomes:
At , we find that
is:
d) The value of the horizontal asympote is equal to the limit of the rational function tending toward . That is:
Given
Modulative Property
Existence of Multiplicative Inverse/Definition of Division
/
Limit properties/
, for
The horizontal asymptote to the graph of f is .