Keywords
quadratic equation, discriminant, complex roots, real roots
we know that
The formula to calculate the <u>roots</u> of the <u>quadratic equation</u> of the form
is equal to

where
The <u>discriminant</u> of the <u>quadratic equation</u> is equal to

if
----> the <u>quadratic equation</u> has two <u>real roots</u>
if
----> the <u>quadratic equation</u> has one <u>real root</u>
if
----> the <u>quadratic equation</u> has two <u>complex roots</u>
in this problem we have that
the <u>discriminant</u> is equal to 
so
the <u>quadratic equation</u> has two <u>complex roots</u>
therefore
the answer is the option A
There are two complex roots
Answer: Top right graph.
Step-by-step explanation:
The function ⌊x⌋ rounds the value x to the lower whole number.
for example:
⌊1.5⌋ = 1
⌊1.923⌋ = 1
⌊2.0⌋ = 2
then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.
if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.
You can check some points if you like:
f(0) = ⌊0⌋ + 2 = 2
f(0.5) = ⌊0.5⌋ + 2 = 2
f(1) = ⌊1⌋ + 2 = 3
So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.
Three and more points are collinear
ANSWER
The total length of the trip to and from work in August is

EXPLANATION
The total length of the trip to and from work is

If Jonah worked 21 days in August,
Then, the total length of the trip to and from work is

Change the decimal to fraction and multiply,



Convert back to decimal