Answer:
5.325 gallons or
Step-by-step explanation:
According to the given problem, Dr. Silva's tank holds up to 16 7/8 gallons = 16.875.
Transform 7/8 into decimal: Divide the numerator by the denominator = 0.875. Add that to 16, and you'll have the full tank capacity of 16.875.
Next, the prompt states that she filled 11.55 gallons' worth of gas. To find how much her tank had before she filled it, you could simply subtract the full tank capacity and the amount of gass added into the tank.
16.875 - 11.55 = 5.325 gallons or (13/40 is the same as 0.325).
Answer: Local Max = (-1, 0)
Local Min = (1, -8)
<u>Step-by-step explanation:</u>
f(x) = (x + 1)² (x - 3)
<u />
<u>Step 1:</u> Find the zeros
(x + 1)² = 0 --> x = -1 <em> (multiplicity of 2)</em>
(x - 3) = 0 --> x = 3
<u>Step 2:</u> Find the Vertices
x = -1 --> (multiplicity is even which means this is a vertex)
The midpoint between x = -1 and x = 3 is x = 1
<u>Step 3:</u> Find the Local Max and Local Min
Use the x-value above to find the y-values
f(-1) = 0 <em>because it is a zero</em>
f(1) = (1 + 1)² (1 - 3)
= 2²(-2)
= 4(-2)
= -8
<u>Conclusion:</u>
(-1, 0) is the Local Max bigger y-value
(1, -8) is the Local Min smaller y-value
The answers to the questions