F(x)=x^2
g(x)=(x-4)^2+2
In general, for horizontal shift h, and vertical shift k,
g(x)=(x-h)^2+k
by comparison, we have h=+4, k=+2
=>
horizontal translation of +4 (to the right) and vertical translation of +2 (up)
Answer:
227
Step-by-step explanation:
first, multiply 19$ by 8 (for total months)
the answer is 152
now add 75 to 152 to get final cost after initial enrollment fee.
I immediately thougth in Fibonacci sequence: the first two numbers are 0 and 1, and from there the numbers are the
sum of previous two numbers.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 ...
The first two numbers are fixed and the next are calculated
witht by adding up of the two previous numbers.
The problem tells that since 7 years ago, the prices followed the same rule.
Current year is 7 and in year 6 the price was 60c.
Next year, year 8, the price will be 60 + price in year 7
You need to make an assumption about how to start the sequence.
Was the price before the year 1 constant or they were as per the two first numbers of Fibonacci series, which are 0 and 1?.
We just know how the prices skyrocketed since year 1.
I will make the problem in three ways:
First approach: year 1's price = x and previous year price = 0
year price
1 x
2 x+ 0 = x
3 x+x =2x
4 2x+x = 3x
5 3x+2x = 5x
6 5x+3x =8x
In that year the price is 60 c.
Then, 8x = 60 => x = 60/8 = 7.5 c
=> Price next year = 8x + 5x = 13x = 13(7.5) = 97.5 c
=> Price seven years ago = x = 7.5 c
Second approach: year's 1 price = x and two prices in the two previous years are 0 and 1
year price
1 x
2 x+1
3 2x+1
4 3x+2
5 5x + 3
6 8x + 5
Then 8x + 5 = 60 => 8x = 55 => x = 55/8 = 6.875
=> price next year = 13x + 8 = 13(6.875) + 8 = 97.375
=> price year 1 = 6.875
Third approach: prices before year 1, equal to the same price of year 1, x
year price
0 x
1 x
2 x+x =2x
3 2x+x = 3x
4 3x+2x=5x
5 5x + 3x = 8x
6 8x + 5x = 13x
13x = 60 => x = 60 / 13 = 4.62
=> Next year: price =13x + 8x = 21x = 21(4.62) = 96.92
=> price seven years ago = 4.62
33/20 as well as 1 and 13/20. First you look it up in the internet aka Google.
here we have given the interior angles as 135 degrees.
we have give that it is a polygon
we need to find how many sides does it have.
we need to find exterior angle.
we know that sum of interior and exterior angle is 180.
x be the exterior angle.
we have formula to find the number of sides
the regular polygon will have 8 sides .