Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
Here, (x,y) = (20,4)
Here, we can see 4 * 5 = 20.
It means, x is 5 times y. so, y would be 1/5 time of x
In short, Your Answer would be y = 1/5 x
Hope this helps!
Aurora Springs and Glendale are 48 miles apart. You would take how much one inch is and multiply it by 4 to get how much 4 inches is. so 12*4=48
Answer:
84.96 mg
Step-by-step explanation:
No = 100 mg
t = 6 hours, N = 96% of No = 96 / 100 No
t = 24 hours, N = ?
Let after 24 hours the remaining part is N.
Use the decay law equation
N = No e^-λt
96 / 100 = e^-6λ
0.96 = e^-6λ
taking natural log on both the sides
ln 0.96 = - 6λ
λ = 6.8 x 10^-3 per hour
Now,
N = No e^-24λ
N = No x e^-(24 x 6.8 x 10^-3)
N = No (0.8496)
N = 100 x 0.8496 = 84.96 mg