Answer:
The piecewise functions accurately represents charges based on Ben's cell phone plan is :
Step-by-step explanation:
Let x be the minutes over cell phone
Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.
We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.
So,
We are also given that For any minutes over 200, Ben is charged $0.35 per minute.
So, Minutes over 200 = x-200
Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :
Answer:
150 m and 50 m
Step-by-step explanation:
l= 125 m
w= 75 m
P= 2(125+75)= 400 m
A= 125*75= 9375 m²
l1= 125+25= 150 m
w1= 75-25= 50 m
A1= 150*50= 7500 m² smaller area with same perimeter
It would be 0.35 because you need to multiply by 5 and then move the decimal 2 spaces to the right.
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
= 3a^2b(cuberoot(b^2)) - 3a^2b^3(square root(3a))
answer is the first choice
