Answer:
35 years
Step-by-step explanation:
The proportion p that remains after y years is ...
p = (1/2)^(y/5.27)
In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...
.01 = .5^(y/5.27)
log(0.01) = y/5.27·log(0.5) . . . take logs
y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years
When solving a system by graphing you need to see where the lines intersect.
Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1
The red dot represents the intersection is about (1, 5)
The original point is: (1.667, 5.667)
Hope this helped!
Find the square root of both sides
√y²= √(144/169)
y= √144 / √169
y= 12/13
Final answer: y=12/13
Answer: The equation is y = -6*x
Step-by-step explanation:
I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:
a = (6 - 0)/(-1 - 0) = 6/-1 = -6
Then our equation is something like:
y = -6*x + b
To find the value of b we can use the fact that this line passes through the point (0, 0).
This means that when x = 0, y is also equal to zero.
If we replace these values in the equation we get:
0 = -6*0 + b
0 = b
Then our equation is:
y = -6*x
