Answer:
Hello :
y = 2x² - x -6
y = 2 ( x² - 1/2 x - 3)
y = 2 (x² -1/2 x + 1/16 -1/16 -3)
y = 2 (( x - 1/4 )² - 49/16)..... the quadratic formula
y = 0 : ( x - 1/4 )² - 49/16 = 0
( x - 1/4 )² - (7/4)² = 0
( x -1/4-7/4)( x -1/4+7/4)=0
(x -2)(x + 3/2) = 0
x - 2 = 0 or x + 3/2 =0
x = 2 or x = - 3/2
The ratio of heights = ratio of the square roots of the areas because area is 2 dimensional and height is one dimensional.
so required ratio is sqrt 40pi : = sqrt40:sqrt80 = sqrt1: sqrt2 = sqrt (1/2) = 0.7071 to 4 significant figures
Answer:
Option B
Step-by-step explanation:
Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;
First row of A multiplied by first column of matrix in option D;
(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB
Since majority of matrix AB are zero, I will just prove the ones that are not zero.
Thus;
Second row of matrix A is multiplied by second column of matrix in option D;
(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB
Lastly, third row of matrix A is multiplied by third column of matrix in option D;
(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB
