For this case we have the following functions:
City A:
f (x) = 9x
City B:
g (x) = 3 (2) ^ x
The total number of employees will be:
h (x) = f (x) + g (x)
Substituting we have:
h (x) = 9x + 3 (2) ^ x
Rewriting we have:
h (x) = 3 (3x + (2) ^ x)
For 5 months we have:
h (5) = 3 * (3 * (5) + (2) ^ 5)
h (5) = 141
Answer:
the total number of employees in the company over x months and the total number of employees will be 141 when the function is:
h (x) = 3 (3x + (2)^x); 5 months
Volume of a cone = [(pi)r^2(h)]:3 = [3.14 (25m^2)(12m)]:3 = 314in^3.
Answer:
8x²+6x+12xy+9y
Step-by-step explanation:
⇒(-2x - 3y)(-4x - 3)
⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)
⇒8x²+6x+12xy+9y
Answer:


Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:

We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:


The formula for the sum is:


Operating:
