Answer:
The positive value of
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let
, roots are those values of
so that
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:


The smaller root is
, and the larger root is
.
has one real root when
. Then, we solve the discriminant for
:


The positive value of
will result in exactly one real root is approximately 0.028.
Answer:
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Step-by-step explanation:
Answer:
every new hour, the previous amount of bacteria is multiplied by four.
Step-by-step explanation:
X + y = 19
10x + 4y = 100
This is a systems of equations.
Isolate x from the first equation:
x = 19 - y
Now, plug it into the second:
10(19 - y) + 4y = 100
190 - 10y + 4y = 100
-6y + 190 = 100
-6y = -90
y = 15
Plug y in and solve for x:
10x + 4(15) = 100
10x + 60 = 100
10x = 40
x = 4
There are four 10-point questions and fifteen 4-point questions.
Find the unit rate.
39/6 = 6.5
$6.50 an hour
multiply this by ten to find the cost for 10 hours
$6.5 x 10 = $65
she will earn $65 in ten hours.
hope this helps! :D