The right side of the equation can be rewritten in terms of p as 4p (4p = 4(x^2 +6) = 4x^2 +24)
Now you have (x^2 +6)^2 - 21 = 4p
Replace (x^2 +6) with p
p^2 - 21 = 4p
Subtract 4p from each side:
p^2 - 21 -4p = 0
Rewrite the expression to get p^2 - 4p -21 = 0
Answer:5
Step-by-step explanation:
360=x+x+(2x+3)+(2x+3)
we have 360=2x+2x+2x+6
360-6=6x
354=6x
x=354/6=59
x=59
Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×
.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×
.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡
and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×![(\frac{1}{2} )^{2 }](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B2%20%7D)
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100×
= 10 %
=![\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D)
= ㏑
= ㏑(
)
=
×㏑
= ㏑(
)
=
= 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×![(\frac{1}{2} )^{3.322}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B3.322%7D)