Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
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.
49.99 = 0.6x, where x = original coat of jacket.
To solve for x divide both sides by 0.6, and you get x = $83.32 (rounded)
If p(x) is a function, then a real-world example might be
The amount of fish food, in grams required for the giant koi fish in the pond can be represented by the function
. If there are 50 fish, how many grams of fish food will you need?
Answer:
f(x) = (x + 2) (x − 5) (x − 6)
Step-by-step explanation:
f(x) = (x − (-2)) (x − 5) (x − 6)
f(x) = (x + 2) (x − 5) (x − 6)
