Answer:
CosC=0.99
Step-by-step explanation:
Cos C =adjacent /Hypothenus
=36/45
=0.99
The first thing you should do for this case is to use the following table to perform the equation of a line:
y x
41,431 1995
48,729 2005
We have then that the line that best fits this data is
y = 729.8x - 1E + 06
Then, to know in what year the number of shopping centers reaches 80,000 we must replace this number in the equation of the line and clear x:
80000 = 729.8x - 1E + 06
Clearing x
x = (80000 + 1E + 06) / (729.8) = 1479.857495
nearest whole number
1480
This means that after 1480 years, 80000 shopping centers are reached.
Equivalently, this amount is reached in the year:
1480 + 1995 = 3475
In the year 3475
answer
(a) y = 729.8x - 1E + 06
(b) In the year 3475
Answer:
A: - 15x - 30/7
Step-by-step explanation:
-5 (3x - 6/7)
Just distribute -5 to the values inside the parentheses.
-5 · 3x = -15x
-5 · 6/7 = -30/7
Now form it together:
-15x - 30/7
Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function

and the graph is shifted 3 units to the left, then we can think of a new unit u that is:

The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:

We can use this relation in the new graph and replace u as:
