The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.
<h3>What is a function?</h3>
A function is a rule or expression showing the relationship between a dependent and independent variable.
We have the function to be;
f(x) = 3/ 4(x + 2)
Let's find f(-5), substitute the value of x as -5
f(-5) = 3/ 4 ( -5 + 2)
f(-5) = 3/ 4 × -3
f(-5) = -1/ 4
f(2), substitute the value of x as 2
f(2) = 3/ 4(2 + 2)
f(2) = 3/ 4 (4)
f(2) = 3/ 16
f(4) = 3/ 4 ( 4 + 2)
f(4) = 3/ 4(6)
f(4) = 3/ 8
Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.
Learn more about functions here:
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You multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 3x^2y
The answer really depends on what b is. Unless you give me a number for what b equals I can’t solve it.
Answer:
18.2 feet^3 of water
Step-by-step explanation:
First let's find 80% of the full capacity, which is 24. To do that, multiply 24 x 0.8, which is 19.2.
Now how much space to the fish take up? There are 8 fish, and each one takes up 1.5 cubic INCHES. 8 x 1.5 = 12 cubic inches, but we need cubic feet. Luckily, there are 12 inches in 1 foot so it'll be a clean and simple 1 foot. The "cubic" part only shows that we're measuring volume.
The 80% capacity - fish capacity = how much water is needed. That will be 19.2 - 1 = 18.2
That's it! Hopefully this helped!
Answer:
t = 1.107
Step-by-step explanation:
Finding the solution using derivatives involves finding the lower zero of the quadratic that is the second derivative of the given function. That second derivative will be ...
f''(t) = 12(1.6714)t^2 -6(22.45)t +2(62.27)
= 20.0568t^2 -134.7t +124.54
= 20.0568(t -3.35796)² -101.619 . . . . rewrite to vertex form
Then f''(t) = 0 when ...
t ≈ 3.35796 -√(101.619/20.0568) ≈ 1.10706
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The solution is perhaps more easily found using a graphing calculator to find the peak of the first derivative. (See attached.) It tells us ...
t ≈ 1.107
1.1 years after the beginning of 1998 is about 1.2 months into 1999.
Rents were increasing most rapidly in early February of 1999.
