Answer:
b² - 4ac > 0
Step-by-step explanation:
Conditions for the discriminant
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Here the roots are x = 0 and x = 4
That is 2 real and distinct roots , then
b² - 4ac > 0
The unknown shape could be a rectangle, parallelogram, or kite.
:)
Answer:
19.80
Step-by-step explanation:
Given the equation :
y = a (e)^kt
If a = 100, y = 50, and k = -0.035, find t.
50 = 100(e)^(-0.035t)
50/100 = e^(-0.035t)
0.5 = e^-0.035t
Take the In
In(0.5) = - 0.035t
-0.693147 = - 0.035t
-0.693147 / - 0.035 = t
19.8042 = t
Hence, t = 19.80
Given:
The quadratic equation is:
To find:
The solution of the given equation in simplest form by using the quadratic formula.
Solution:
If a quadratic equation is 
, then the quadratic formula is:
We have,
Here, 
. Using the quadratic formula, we get
![[\because \sqrt{-a}=i\sqrt{a}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7B-a%7D%3Di%5Csqrt%7Ba%7D%5D)
The solutions of the given equations are 
and 
.
Therefore, the correct option is B.
