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
7 is the value of x, and 64° is the measure of the unknown angle.
Triangle angles of 76°, (9x+1)°, and 40° are provided.
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.
Now, the total of a triangle's three angles equals
76°+(9x+1)°+40°= 180°
⇒ 116+9x+1 = 180
⇒ 9x + 117 = 180
⇒ 9x = 63
⇒ x = 7
So, 9x+1=64°
As a result, x is equal to 7 and the unmeasured angle is 64°.
To learn more about the angle sum property of a triangle, refer to this link:
brainly.com/question/8492819
#SPJ1
Answer:
o
Step-by-step explanation:
o
Answer: (3, -2)
Step-by-step explanation:
The solution to the system is where the graphs intersect.
Negative and Positive numbers dictate direction on a graph. Negative numbers indicate the point is moving left, and positive numbers indicate the point is moving right.