9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
Hello from MrBillDoesMath!
Answer:
Positive x-intercept = + sqrt(3)
Negative x-intercept = - sqrt(3)
Discussion:
Generally, the x-intercept of a function g(x) occurs where g(x) = 0. In our case this is
g(x) = 0 =>
3x^2 - 9 = 0 => (add 9 to both sides of the equation)
3 x^2 = 9 => (divide both sides by 3)
x^2 = 9/3 = 3 =>
x = +\- sqrt (3)
Positive x-intercept = + sqrt(3)
Negative x-intercept = - sqrt(3)
Thank you,
MrB
