The explicit formula for the geometric sequence 
is
Step-by-step explanation:
The formula of the nth term of a geometric sequence is
, where:
- a is the first term of the sequence
- r is the common ratio between the consecutive terms
The geometric sequence of is 6 , -2 , 
, 
, 
∵ 
= 6
∵ 
∵ 
= -2
∴ 
- Divide both term by 2 to simplify it
∴ 
∵ 
- Substitute the value of and r in the rule above
∴
The explicit formula for the geometric sequence is
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You can learn more about the geometric sequence in brainly.com/question/1522572
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The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
Express percentage as decimal
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
Express percentage as decimal
The amount saved is the difference between the prices of the drones.
So, we have:
This gives
Subtract
Express as a function
Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
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The gradient of y axis is zero. Since the line is parallel to y axis, its gradient is also zero. This
y=mx+c
Where m is the gradient;
y=(0)x+c
y=c
Replacing for y and x;
0=0(-4)+c
c=0
Answer:
There are 30 books in the shelf.
Step-by-step explanation:
To solve this problem we can use a rule of three in such a way that 12 paperback mysteries are related to 40% of the books in the shelf in the same proportion that "x" total books are related to 100% of the books in the shelf. So we have:
12 -> 40%
x -> 100%
40*x = 12*100
40*x = 1200
x = 1200/40
x = 30 books
There are 30 books in the shelf.
