Answer:
The world population at the beginning of 2019 will be of 7.45 billion people.
Step-by-step explanation:
The world population can be modeled by the following equation.
In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.
This means that 
So
What will the world population be at the beginning of 2019 ?
2019 - 1980 = 39. So this is Q(39).
The world population at the beginning of 2019 will be of 7.45 billion people.
I got -3.........................
-7 - 7p = 3p + 23
Move the -7p over to the right....by adding
-7 = 10p +23
Move the 23 over to the left by subtracting
-30 = 10p
divide by 10
p = -3
The answer to your question is 21.5
Answer:
s(t) = 2t^2-3t
19 = 2t^2-3t
2t^2-3t-19=0
t = [3 +- sqrt(9-4*2*-19)]/4
t = [3 +- sqrt(161)]/4
t = [3 +- 12.6886]/4
Positive answer:
t = [3+12.6886]/4
t = 3.9221 seconds
Step-by-step explanation:
Answer:
(0,6)
Step-by-step explanation:
First, deal with the reflection. Reflecting the triangle over the x axis will reflect it vertically into the upper right quadrant. Because it is reflected vertically, the x values of the vertices will not change and the y values will be the negative of whatever value they are originally. If the coordinates of each vertex are (x,y), you can easily find their new location by changing it to (x,-y). After the reflection, the coordinates of the vertices are as follows:
A = (2,6) [originally (2,-6)]
B = (2,1) [originally (2,-1)]
C = (5,6) [originally (5,-6)]
Now, deal with the translation. A translation of -5 units horizontally means that the triangle will be moving 5 units to the left. The y values will be unaffected by the translation. To find the new coordinates, subtract 5 from the x values of the coordinates after the reflection.
A = (-3,6)
B = (-3,1)
C = (0,6)
Therefore, the answer is (0,6).
