Answer:
7x.
Step-by-step explanation:
2 + 33 = 7x
35 = 7x
Solution is x = 5.
X = 4, You subtract the 5x to the other side then divide the 32 by 8 to get 4.
Answer:
We could start with the simpler function f(x) = IxI and construct the other function using transformations.
First, an horizontal translation of A units to the right is written as:
g(x) = f(x - A)
And an vertical translation of A units up, is written as:
g(x) = f(x) + A.
Where A is positive and this works for any function f(x).
Then in this case, if we start with:
f(x) = IxI and:
g(x) = Ix - 2I -3
Then:
First we do an horizontal translation of 2 units to the right.
g(x) = f(x - 2) = Ix - 2I
Then we do a vertical translation of -3 units up (or a translation of 3 units down)
g(x) = f(x - 2) - 3 = Ix - 2I - 3
Those two transformations are the ones that relate the graphs of g(x) and f(x)
9514 1404 393
Answer:
- 246 products in year 5
- 2017 products over 5 years
Step-by-step explanation:
The n-th term of the geometric series is ...
an = a1(r^(n-1))
for first term a1 and common ratio r. The common ratio here is the growth factor: 1 -20% = 0.8. This means the 5th term (5th year sales) will be ...
a5 = 600(0.8^(5-1)) ≈ 246 . . . . . products sold in year 5
The sum is given by ...
sn = a1(1 -r^n)/(1 -r) = 600(1 -0.8^5)/(1-0.8) = 2017
The company will have sold about 2017 products over 5 years.