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carolelai08
21.07.2020 •
Mathematics
SOLVE THE QUADRATIC EQUATION TO 3 SIGNIFICANT FIGURES
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Ответ:
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3x^2 - 9x + 1 = 0
The quadratic equation is![\frac{-b+/- \sqrt{b^2 -4ac} }{2a}](/tpl/images/0710/5089/10de0.png)
So 'a' is 1
'b' is -9
'c' is 1
Substitute the values into the equation, once with the '+' and once with the '-'
You should get
and ![\frac{9+\sqrt{69} }{6}](/tpl/images/0710/5089/8a673.png)
To 3 s.f your answers would be 2.88 and 0.116
Have A Nice Day ❤
Stay ! ヅ
- Ally ✧
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Ответ:
k = 1
P(t) = (t + 20)²
Step-by-step explanation:
P' = k√P = k P⁰•⁵
To solve for k,
P' = 10 rabbits/month
P = 100 rabbits
10 = k √100
10 = 10k
k = 1
To solve for P(t)
P' = dP/dt
(dP/dt) = kP⁰•⁵
dP/P⁰•⁵ = k dt
P⁻⁰•⁵ dP = k dt
∫ P⁻⁰•⁵ dP = ∫ k dt
2P⁰•⁵ = kt + c
At t = 0, P = 100
2(100)⁰•⁵ = 0 + c
2 × 10 = c
c = 20
2P⁰•⁵ = kt + c
2P⁰•⁵ = kt + 20
Recall, k = 1
2P⁰•⁵ = t + 20
P⁰•⁵ = (t + 20)
P(t) = (t + 20)²