Complete the statement below that show y=8^2+32x+17 being converted to vertex form
1 answer:
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Answer:
y = 3x - 2
Step-by-step explanation:
The equation is linear and expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given (0, - 2 ) then c = - 2
Calculate the multiplier using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table
m = = 3, hence
y = 3x - 2 ← equation relating x and y
<h3>The population P(t) at the end of year t is 
</h3>
Step-by-step explanation:
The initial population of town of Madison = 25,000
The rate at which the population is increasing = 1.12 times
So, the increase in population first year :
( the initial population) x = 1.12 x ( 25,000)
= 28,000
So, the population at the end of first year = 28,000
Similarly, the increase in population second year :
( the initial population) x (1.12)² = ( 25,000) x (1.12)²
= 31,360
So, the population at the end of second year =31,360
Now, to calculate the population in t years from now:
The population P(t) at the end of year t is