Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:
In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
So 
Then
We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.
Answer:
x + y = 14
Step-by-step explanation:
Parallel lines have the same slope, so the line's slope will be -1.
Plug this slope and the given point into y = mx + b to find b:
y = mx + b
4 = -1(10) + b
4 = -10 + b
14 = b
Then, plug this and the slope into y = mx + b
y = -x + 14
Then, put this into standard form by moving the x to the other side:
x + y = 14 is the equation in standard form
Answer:
There are no solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(9x−6)=6(3x−2)+2
(2)(9x)+(2)(−6)=(6)(3x)+(6)(−2)+2(Distribute)
18x+−12=18x+−12+2
18x−12=(18x)+(−12+2)(Combine Like Terms)
18x−12=18x+−10
18x−12=18x−10
Step 2: Subtract 18x from both sides.
18x−12−18x=18x−10−18x
−12=−10
Step 3: Add 12 to both sides.
−12+12=−10+12
0=2
Yes the correct answer is D. Hope this helps :)
