Answer:
x = −3+√14 or x=−3−√14 Hope this helps! Mark Me as bainlest
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
In 2012

--- Birth rate
-- Death rate from '12 to '40
Solving (a): Equation for population from 2012
In 2012, we have the addition in population to be:


million
From 2012 to 2040, we have the death rate per year to be:


million/year
So, the differential equation is:
where t represents time


Express in millions


Solving (b): The solution to the equation in (a)

Make dP the subject

Integrate both sides


This gives:


Solve for c.
When t = 0; P = 7.02
So, we have:




So:


Solving (c): The population in 2050
We have:

In 2050, the value of t is:


So, the expression becomes


Given:
Square DEFG = SIDE LENGTH = 2 UNITS
Square D'E'F'G' = SIDE LENGTH = 6 UNITS
The question was which scale factor was used to dilate square DEFG to square D'E'F'G'
From a side length of 2 units to a side length of 6 units
The scale factor used is 3.
2 * scale factor = 6
scale factor = 6/2
scale factor = 3
1/3 = 0.333... (repeating)
-- Jovita bought 3.333 cubic yards.
-- She needs 2.5 cubic yards for the flowers.
-- The rest will be left for the veggies.
If she doesn't spill any, that will be
(3.333) minus (2.5) = 0.833... (repeating) cubic yards.