Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then
![2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L](https://tex.z-dn.net/?f=2%28L%2Bx%29%3D16%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20L%2Bx%3D8%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%3D8-L)
Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by
![L(8 - L) = 8L-L^2](https://tex.z-dn.net/?f=L%288%20-%20L%29%20%3D%208L-L%5E2)
Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
Answer:
C. (x + 2, Y - 3)
Step-by-step explanation:
C. (x + 2, Y - 3)
Answer simplified - 4 square root 10
Correlation coefficient is the numerical representation of how one variable predicts the change of the other. In this case, if the AP tests scores and the SAT scores have 0.93 correlation coefficient, this means that the two results move in the same direction. When AP test results go up, then we can say that SAT scores will go up too, same also if one goes down, so does the other.
The rule for rounding is that if the fraction is less than 1/2, we round down; and if the fraction is more than 1/2, we round up.
Because 5/6 is a greater fraction than 1/2, we must round the existing whole number (8), up.
8 5/6 rounded to the nearest whole number is 9.