1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir79 [104]
3 years ago
9

For what real values of does the quadratic 12x^2+kx+27=0 have nonreal roots

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

k<±36

Step-by-step explanation:

Δ<0 (no real roots)

b²-4ac<0

k²-4x12x27<0

k²-1296<0

k²<1296

k<±36

You might be interested in
The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
Simplify: <br><br> (-3i)(4i)(-5i)
Alecsey [184]
60i
if you go to mode on your calculator then Chang it from "real" to "a+bi" you can solve for unreal numbers. if you press "2nd" then "." it makes an "i"

4 0
3 years ago
Ratios that are equivalent to 25%
Nataliya [291]
Percent means parts ot of 100
25%=25/100=1/4
ratio is 1:4 or 2:8 or 6:12
4 0
3 years ago
How many times does 27 go into 324
Leona [35]
324 divided by 27 is 12.
8 0
3 years ago
What is the diameter of a circle with a circumference of 12 pii units
klemol [59]
The diameter is equal to 12.
5 0
3 years ago
Other questions:
  • I need help with this
    10·1 answer
  • If you were to roll the dice one time what is the probability it will land on a 3? 
    14·2 answers
  • True or false;<br> If two planes cross one another, then their intersection is two lines.
    15·2 answers
  • There are 40 math teachers, 45 English teachers, 27 science teachers, and 32 social studies teachers. The superintendent of the
    9·1 answer
  • What is the solution to the equation
    6·1 answer
  • HELP PLS RIGHT NOWWW<br><br> For Exercise 38, find each length.<br><br> 38. AC
    13·1 answer
  • Geometry - Similar
    10·1 answer
  • A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes
    8·1 answer
  • Sofia buys a two-gallon bottle of juice for $35.84. what is the unit rate of the cost of the juice per fluid ounce?
    14·1 answer
  • A health food store was charging $4.10 for a small salad but raised the price 8%. The new price after the increase is $4.43.Ente
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!