Answer:
Option D
The domain of the function is: {4, 7}
Step-by-step explanation:
We know that for polynomial functions like 
its domain and its rank are all real numbers. However, for this case we are told that the function range is: the set {25, 64}
This means that the function is bounded.
Then the domain of f(k) are all possible values of k such that f(k) belongs to the interval {25, 64}.
To find the limit values of k then we do f(k) = 25
Now we factor the expression:
Then k = 4 and k = -6.
Now we do f(k) = 64
We factor the expression:
k = -9 and k = 7.
Finally we search between the options given an interval that matches.
The option that matches is option D {4, 7}
<h2>47/100</h2><h3></h3><h3>0.2 + x = 0.67</h3><h3>subtract 0.2 from both sides</h3><h3>x = 0.47</h3>
Answer:
You need 30 total weeks to win at least 65% games
Step-by-step explanation:
Team have played = 20 games
Number of winning games = 3
Let x represents the number of additional weeks.
You have won 3 games per week. Therefore you will win 3x additional games.
We know that 65% = 0.65
Therefore,
3+3x/20+4x = 0.65
By cross multiplication:
3+3x= 0.65(20+4x)
3+3x = 13+2.6x
Combine the like terms:
3x-2.6x = 13-3
0.4x=10
4x/10 =10
4x = 10*10
4x=100
Divide both sides by 4
4x/4 = 100/4
x = 25
since you have already played 5 weeks...you need to play 25+5 = 30 weeks.
Therefore you need 30 total weeks to win at least 65% games....
Because when we divide that by itslef you get the exact same number
