Answer:
f(x) = 0.5x + 5
Domain: positive whole numbers
Range: f(x) ≥ 5
Step-by-step explanation:
Let's x denote the total number of fruit juice.
This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.
Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:
f(x) = 0.5x + 5
The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").
The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.
Answer:
The answer to your question is below
Step-by-step explanation:
Functions
f(x) = 12x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
f⁻¹(-2) = -4
b) f(-4) = 12x
f(-4) = 12(-4)
f(-4) = -48
c) f(f⁻¹(-2)) =
f(f⁻¹(x)) = 12(2x) = 24x
f(f⁻¹(-2)) = 24(-2) = -48
I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
= -4
b) f(-4) = 1/2(-4)
= -2
c) f(f⁻¹(x)) = 1/2(2x)
= x
f(f⁻¹(-2)) = -2
If width is w the length can be represented as 5/2+2w.
Formula for perimeter is 2l + 2w
So it would be 2w + 2(5/2 + 2w)
OR 2w + 5 + 4w
OR 6w + 5
See if this helps ;)
Answer:
The radius of the cylinder is 7 in
Step-by-step explanation:
To calculate the radius of a cylinder we have to use the following formula:
v = volume = 980π in³
h = height = 20in
π = pi
r = radius
v = (π * r²) * h
we replace with the known values
980π in³ = (π * (r)²) * 20in
980π in³ / 20in = π * (r)²
49 in² = (r)²
√(49 in²) = r
7 in = r
The radius of the cylinder is 7 in
1. 2/8
2. 3/4
3. 1/3
4. 4/5
