The number of ants in a colony doubles every 8 weeks.
Constant rate of change means that when the value of x increases, the y remains constant. So there is no change in the y value. In this case, the x value is the "week" and the y value is the "amount of ants".
Answer:
The correct answers are (1) Option d (2) option a (3) option a
Step-by-step explanation:
Solution
(1) Option (d) The statement is false. A diagonalizable matrix must have n linearly independent eigenvectors: what it implies is that a matrix is diagnostic if it has linearity independent vectors.
(2) Option (a) The statement is false. A diagonalizable matrix can have fewer than n eigenvalues and still have n linearly independent eigenvectors: what this implies is that a diagonalizable matrix can have repeated eigenvalues.
(3) option (a) The statement is true. AP = PD implies that the columns of the product PD are eigenvalues that correspond to the eigenvectors of A : this implies that P is an invertible matrix whose column vectors are the linearity independent vectors of A.
5, 11 and 2 are all prime numbers which add together to create 18.
5+11=16+2=18
Answer:
c= ℝ
Step-by-step explanation:
8(c-9)=6(2c-12)-4c
Distribute left side.
8*c+8*-9=6(2c-12)-4c
8c-72=6(2c-12)-4c
Distribte right side.
8c-72=6*2c+6*-12-4c
8c-72=12c-72-4c
Combine like terms.
8c-72=8c-72
Since the two sides are exactly the same, this means that any number for c will satisfy the equation.
Therefore, c= ℝ (all real numbers)