12 gallons = 96 us liquid pints.
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
The 20 pound bag is a better by for only $66.98
Step-by-step explanation:
The large bag is better because the small bag is $27.93 for 7 pounds 7x3=21,so 3x27.93=83.79 is $16.81 more than the cost for the large bag
hope this makes sense;)
Answer:
The correct option is, Exponential Decay, $23,914.85.
Step-by-step explanation:
A farmer buys a tractor for $50,000.
It is provided that the the tractor depreciates 10% per year.
The exponential function for decay is:

Here,
a = initial value
r = decay rate
t = time
Compute the value of the tractor in 7 years as follows:


Thus, the correct option is, Exponential Decay, $23,914.85.
ANSWER:
104
STEP-BY-STEP EXPLANATION:
Given:
Standard deviation (σ) = 700
Confidence level = 95%
Mean error (Eμ) = 135
We have for a confidence level of 95%:

Now, we calculate the minimum value of the sample size as follows:

The minimum sample size needed is 104