Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,
Then by applying the formula for sum to infinity of a geometric progression,
Answer: Option C
Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:
If 
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have
We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is
value of x is: x= i and x= -i
Step-by-step explanation:
We need to find the value of x from 
using quadratic formula.
The term is: 
The quadratic formula is:
Where a = 1, b=0,c=1
Putting values:
So, value of x is: x= i and x= -i
Keywords: Quadratic formula
Learn more about quadratic formula at:
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Answer:
It should be $32 - $22.50.
Step-by-step explanation:
This is because we're trying to find out the amount she received. So we will subtract the amount she already has from how much she now has to figure out how much she received. 32 - 22.50 = 9.50.
Hope this helps:)!
Answer:
Step-by-step explanation:
1. sin 30 = x/16
x= 16 sin 30
x = 8
2. cos 60 = 22/x
x = 22/cos 60
x = 44
3. tan 45 = x/19
x = 19 tan 45
x= 19
4. tan 16 = x/13
x = 13 tan 16
x= 3.73
5. sin 54 = x/45
x = 45 sin 54
x= 36.41
6. sin 35 = z/23
z = 23 sin 35
z = 13.19
