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
Explanation:
Step 1) Add
4
to each side of the equation to isolate the
x
term while keeping the equation balanced:
12
x
−
4
+
4
=
32
+
4
12
x
−
0
=
36
12
x
=
36
Step 2) Divide each side of the equation by
12
to solve for
x
while keeping the equation balanced:
12
x
12
=
36
12
12
x
12
=
3
x
=
3
Hope this helps:)))))))))))))
The area of a square is expressed as:
Area = s^2
We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.
Total area = Area larger + area smaller
1025 = s^2 + a^2
Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:
<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2
simplifying we obtain,
a = 20 inches
12 (3) = 36
36+2= 38
so the answer is -38/3
