Answer:
P(t) = 100t +2600
4100 in 2005
Step-by-step explanation:
You are given two points for (year, population) = (t, p):
(4, 3000), (8, 3400)
It is useful to use the two-point form of the equation for a line.
p = (p2 -p1)/(t2 -t1)(t -t1) +p1
p = (3400 -3000)/(8 -4)(t -4) +3000
p = 400/4(t -4) +3000
p = 100t +2600
P(t) = 100t +2600 . . . . written in functional form
In 2005, the population is predicted to be ...
P(15) = 100×15 +2600 = 4100
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression
<h3>
What is an extraneous solution?</h3>
An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).
Learn more about extraneous solution: brainly.com/question/14054707
#SPJ1
Answer:
C) Kite
Step-by-step explanation:
The problem states that the polygon is a quadrilateral, meaning it has 4 sides. This rules out D, as pentagons have 5 sides. Our next clue is that this shape has <em>only one </em>right angle, ruling out A and B, because, by definition, rectangles and squares must have four 90 degree angles. We can already see that we are left with only one choice, but to confirm: a kite has 2 opposite angles of 105 degrees, like the problem states.
Therefore, the answer is C) Kite
Hope this helps!
2 x (5-2)^3
2 x (3)^3
2 x 27
54