What is the product of (6x2 + 8)(3x2 – 5x + 7)? A. 18x4 – 30x3 + 66x2 – 40x + 56
B. 18x4 – 30x3 + 42x2 – 40x + 56
C. 18x4 – 30x3 + 66x2 – 5x + 56
D. 18x4 – 30x3 + 66x2 – 5x + 7

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: