Maria compared the slope of the function f(x)=(-6x-21) to the slope of the linear function that fits the values in the table below. x -4 -2 0 2 4g(x) 9 8 7 6 5a. both functions have a positive slope. b. both functions have a negative slope c. function f(x) has a positive slope, while function g(x) has a negative slope.

b. both functions have a negative slope

Step-by-step explanation:

The given function is

This function is of the form , where is the slope and is the y-intercept.

We can also determine the slope of the function in the table using any two points, say .

The slope formula is given by,

.

If , then,

.

We can see that both functions have a negative slope.

The correct answer is B.

current in the circuit at time t is /, then the power delivered to the resistor is

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west