Answer:
x = 6
Step-by-step explanation:
<u>Step 1: Distribute
</u>
2(3x + 2) = 2x + 28
(2 * 3x) + (2 * 2) = 2x + 28
(6x) + (4) = 2x + 28
<u>Step 2: Subtract 2x from both sides
</u>
6x + 4 - 2x = 2x + 28 - 2x
4x + 4 = 28
<u>Step 3: Subtract 4 from both sides
</u>
4x + 4 - 4 = 28 - 4
4x = 24
<u>Step 4: Divide both sides by 4
</u>
4x / 4 = 24 / 4
<em>x = 6
</em>
Answer: x = 6
40 and 21 do not have common factors, except for one. So the answer is 1.
Answer:
The second graph
Step-by-step explanation:
If the population halves every 10 years, the population at year 10 would be half as mush as year 0, and year 20 would have half as much as year 20, and so on, graph 2 is the only one with a decreasing slope.
Answer:
The length of FG is
.
Step-by-step explanation:
Since the altitude of the triangle bisects the third side, triangle FGH is isosceles.
Therefore 
This implies that,

This is a linear equation where we easily solve for
.
We group like terms to get,


We divide both sides by 2 to obtain,
.
The length of FG is

Answer:
Rate of change = - 4
Step-by-step explanation:

Rate of change :
