Answer:
a) The discriminant of the equation = - 44
b)The nature of the roots will be imaginary.
c) 
Step-by-step explanation:
Here, the given expression is 
or, 
Now the discriminant (D) of a quadratic equation 
D = 
Hence, the discriminant of the equation = - 44
As D< 0, so the roots will be imaginary.
Now,by quadratic formula : 
So, here 
So, either 
or, 
The probability of drawing a white marble =

∴ the probability of drawing a white marble = ³/₁₄
199.
the z score for the 90th percentile is 1.28, so you can solve the equation

which gets you the 199
Answer:
Step-by-step explanation:
<u>Find the area of the garden:</u>
- A = 1/2bh
- A = 1/2(8)(15) = 60 m²
<u>Number of plants:</u>
Answer:
32
Step-by-step explanation:
f(x)= 3(x-2)² + 5
Let x = -1
f(-1)= 3(-1-2)² + 5
Parentheses first
f(-1) = 3(-3)^2 +5
Exponents
f(-1)= 3*9 + 5
Multiply
f(-1) = 27+5
Add
f(-1) = 32