We will have the following:
Using exponential regression we will have that the line of best fit will be:

Now, we will have that:

So, the approximation using linear regression gives us as solution approximately 29.7 years; thus the closest one to match is then
Answer:

Step-by-step explanation:
We start by subtracting
from both sides of the second inequality:

Therefore, we conclude that:

Therefore, every point that satisfies the system has a
-coordinate greater than
.
Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
Answer: See attached.
Step-by-step explanation:
Answer:
<em>Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)</em>
<u>Use tangent:</u>
- tan x = 8/15
- x = arctan (8/15)
- x = 28.1° (rounded)