Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.y = -6 - 8x

A. x: ; y: -6

B. x: - ; y: -6

C. x: -6; y: 

D. x: -6; y: - 


Answer: B

Mathematics

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Solve the problem.Consider a small region inside an elastic material such as gelatin. As the material "jiggles", this small region oscillates about its equilibrium position (x0, y0, z0). The force that tends to restore the small region to its equilibrium position can be approximated as  F = - k(x - x0)i - k(y - y0)j - k(z - z0)k Find a potential function f for this force field.

What will be an ideal response?

Mathematics

Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = 3x - 4xy y'(t) = -y + 3xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0, (c) find the equilibrium points for the system.

A. (a) x' = 0 along the lines x =  and y = 0
(b) y' = 0 along the lines y =  and x = 0
(c) (0, 0) and 
B. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
C. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 3
(c)  and 
D. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and 

Mathematics

Provide an appropriate response.Cars soldYearCrafty Bill's Cool Car Sales opened as a used car sales lot in 2001. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2003?

A. 350 cars B. 550 cars C. 500 cars D. 400 cars

Mathematics

Find the probability.What is the probability that the arrow will land on an odd number?

A. 1 
B.
C. 0 
D.

Mathematics