Answer:
x=2
Step-by-step explanation:
5x+
= 7
5x+4 =7 (2)
5x+4=14
5x=14-4
5x=10
= 
x=2
Answer:
2x−3=x
Move all terms containing x
to the left side of the equation.
Subtract x
from both sides of the equation.
2x−3−x=0
Subtract x
from 2x
x−3=0
Add 3
to both sides of the equation.
x=3
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:
The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials
Step-by-step explanation:
Answer:
Slope = 2 Y-Intercept = (0, 3)
Step-by-step explanation:
Slope :
which is
from two points: point1 (x1 , y1) and point2 (x2, y2).
For the purpose of getting the slope I will be using point (0, 3) as point 1
and point (-3, -3) as point 2.
If you plug in 0 as x1, 3 as y2, -3 for x2, and -3 for y2:
=
= 2
Y-Intercept: The y intercept is the point where the line is touching the y axis. Which in this graph, there is only point (0,3).