Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Answer:
30.11 meters ( approx )
Step-by-step explanation:
Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )
Given,
Point A is 8.20 m above level ground,
So, the height of the building = ( x + 8.20 ) meters,
Now, 1 degree = 60 minutes,
⇒ 


By the below diagram,




Now, again by the below diagram,



Hence, the height of the building = x + 8.20 = 30.11 meters (approx)
You would multiply 100 by 6 to get the 6 away from m. this leaves m on one side of the equal sign and 6•100 on the other. multiply that out, which is 600. so m=600.
19+13=32
32+63=95
95-4=91
91+10=101
This means that 101 people are now on the bus.
HOPE THIS HELPS <3
Answer:

Step-by-step explanation:
Given
-- initial area
-- rate
--- (years)
Required
Represent as an exponential function
An exponential function has the form:

Where

and 

Substitute values for a and b, we have:

Convert percentage to decimal


Hence, the exponential function that represents the scenario is: 