33.11, 311 im pretty sure this is right, if it is not can you please correct me?
Answer:
Please find a visual representation of the scenario generated with MS Excel
Step-by-step explanation:
The given data on how Kylo fills up the bathtub with water are;
The time it takes to fill the bathtub with 50 gallons of water = 15 minutes
The time it takes to drain 30 gallons from the bathtub = 5 minutes
The time it takes to add 5 gallons of hot water = 2 minutes
The time it takes for all the water to drain out = 4 minutes
The given scenario can be represented visually on the coordinate plane, as follows;
The y-axis represents the amount of water in the bathtub in gallons
The x-axis represents the time from the when Kylo begins to fill the bathtub
The coordinates of points in the visual representation of the given scenario are therefore;
At the start, the bathtub is empty;
y = 0, x = 0
Then we have;

Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario
f(x) = 7x + 13
f(-3) = 7(-3) + 13
f(-3) = -21 + 13
f(-3) = -8
Answer:
The average rate of change in the interval (3, 3.5) is -158.75
Step-by-step explanation:
We are given the following function in the question:

We have to find average rate of change over the interval:
x = 3 to x = 3.5
Average rate of change =

Thus, the average rate of change in the interval (3, 3.5) is -158.75
Answer:
-1.596
Step-by-step explanation:
4^(x + 3) = 7
log4 both sides
log4[4^(x + 3)] = log4(7)
(x + 3) × log4(4) = lg7/lg4
x + 3 = 1.403677461
x = -1.596322539