Kelsey owns a bike rental company. She charges a fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Kelsey charges for a bike rental that lasts x hours? a. y = 10 + 4x
b. y = 10 - 4x
c. y = 4 + 10x
d. y = 4 - 10x

(-5,-28)

i graphed to on desmos.

14

step-by-step explanation:

14

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