Answer:
Third option: 
Step-by-step explanation:
<h3>
The correct exercise is attached.</h3>
The equation given is:

The steps to find the value of "x" are shown below:
1. Add 2 to both sides of the equation:

2. Descompose 9 and 27 into their prime factors:

3. Substitute them into the equation:

4. Knowing that If
, then
, we get:

5. Apply Distributive property:

6. Add 2 to both sides:

7. Divide both sides of the equation by 2:

Answer:
75
Step-by-step explanation:
10 times 5 = 50
50 + 25 = 75
10 per hour
25 per party
Answer:

Step-by-step explanation:
We know that Manuel decides to build a fence to enclose an area for his dogs to play. The area is to be rectangular in shape. We know that only 3 sides need to be fenced, because his house is to be one border of the rectangle.
We conclude that the the maximum area is:

So the two shorter sides will be 20 feet each, the longer side will be 40 feet.
Answer:
Option C is correct.
g(x) = x² + 4
Step-by-step explanation:
The image of the graph is missing from this qusstion, it was obtained and presented in the attached image to this answer.
Normally, f(x) = x²
And it is evident that g(x) is originally just given as g(x) = x²
But it has been moved along the y-axus to obtain what is available right now.
A vertical shift of magnitude c in a function is given as y + c = g(x) + c.
- If c is greater than 0, that is; positive, g(x) becomes g(x) + c
- If c is less than 0, that is; negative, g(x) becomes g(x) - c
And it is evident that the graph represented by the red line has moved up by 4 units, hence, the new function is given as
g(x) + 4 = x² + 4
Hope this Helps!!!
((4a+4)/(2a))((a^2)/(a+1))
(2(2a+2)/2(a))((a^2)/(a+1))
((2a+2)(a^2))/(a(a+1))
(2(a+1)(a^2))/(a(a+1))
(2a^2)/a
=2a