Answer:
y = 1/3x - 2
Step-by-step explanation:
We are asked to find the equation of a line with two points
Step1: find the slope
m = (y_2 - y_1)/(x_2 - x_1)
( 0 , -2) (6 , 0)
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Insert the values
m = ( 0 - (-2)/ (6 - 0)
m = ( 0 + 2)/(6 - 0)
m = 2/6
m = (2/2)/(6/2)
m = 1/3
Step 2 : substitute m into the equation of line
y = mx + c
y = intercept y
m = slope
x = intercept x
c = intercept
y = 1/3x + c
Step 3: sub any of the two points
Let's pick ( 6 ,0)
x = 6
y = 0
Insert the values into
y = 1/3x + c
0 = 1/3(6) + c
0 = 1*6/3 + c
0 = 6/3 + c
0 = 2 + c
c = 0 - 2
c = -2
Sub c = -2
y = 1/3x - 2
The equation of the line is
y = 1/3x - 2
Answer: a) 236,000.
b) 2021
Step-by-step explanation:
Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by 
(1)
where t = 0 corresponds to 1980.
Then , for 2009
t= 2009-1980=29
a. ⇒The population of Phoenix in 2009 = 
Hence, the population of Orlando in 2009 was about 236,000.
b) Substitute p= 300 in (1) , we get
(Divide both sides by 130)
Taking Natural log on both sides,
Hence, The year Orlando will have a population of 300,000 =1980+41 =2021
Answer:
-36x^3 - 69x^2 - 34x - 5
Step-by-step explanation:
(4x + 5) (3x + 1) -3 (x + 1)
(4x + 5) (3x + 1) ( -3x - 1)
12x^2 + 4x + 15x +5
Combine like terms
12x^2 + 19x + 5 (-3x - 1)
-36x^3 -57x^2 - 15x^2 -5
Combine like terms
-36x^3 - 69x^2 - 34x - 5
7 and 1/2 mile because 2,640=1.5 miles
4-1.5=2.5+5=7.5
Answer:
y=-1/2x-3
Step-by-step explanation:
Let's pick two points for slope.
For the y-inctercept, the line intersect at the y-axis at (0,-3)
CHECK:
