What is the value of z in the equation 3z + 5 = 4z -8
2 answers:
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The answer is four
See my handwritten problem worked out in attached pic
See my handwritten problem worked out in attached pic
Given:
The intial population in 2019 is, P₀ = 103126.
The final population in 2020 is, P = 103856.
The objective is to find the population in the year 2039.
Explanation:
The general exponential form of population growth is,
Here, t represents the time period.
To find t:
The value of <em>t</em> from 2019 to 2020 can be calculated as,
To find r :
On plugging the obtained values in equation (1),
To find population at 2039:
The time period <em>t</em> can be calculated as,
Now, final population after 2019 can be calculated as,
f(x) = (x + 7)² - 8
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
given the quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x-coordinate of the vertex is
= -
f(x) = x² + 14x + 41 is in standard form
with a = 1, b = 14 and c = 41
= -
= - 7
substitute this value into the equation for y- coordinate
y = (- 7 )² + 14(- 7 ) + 41 = 49 - 98 + 41 = - 8
f(x) = (x + 7)² - 8 ← in vertex form