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
Veseljchak [2.6K]
3 years ago
13

Determine the greatest intergral value of K for which 2x^2 - Kx +2 =0 will have non-real roots ...Use quadratic inequalities to

determine the solution
Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Greatest integral value of K = 3.

Step-by-step explanation:

The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac.  For non-real roots this is negative.

2x^2 - kx + 9 = 0

The discriminant = (-k)^2 - 4*2*2 , so:

k^2 - 16 < 0  for non-real roots.

k^2 < 16

k <  √16

k  < 4

So the answer is 3.

The greatest integral value is 8.

You might be interested in
Which of the following are considered measures of center? I. mean II. median III. interquartile range A. III only B. I and II on
andrezito [222]
Answer: Choice B) I and II only

The mean and median are considered measures of center as they represent the average of a data set. The average basically being a point that collectively speaks for all of the data. For example, if you have a group of basketball players whose heights range from 5'11" to 6'9", then there is no single height to report; however, we can compute the average to get a basic idea of the single height. The interquartile range (IQR) is a measure of variability or spread of the data. The higher the IQR, the more spread out the data is. Recall that 50% of the data is represented by the IQR and that IQR = Q3 - Q1 where Q1 and Q3 are the first and third quartiles respectively. So because the IQR is a measure of spread, it is not considered a center point.
4 0
3 years ago
The fraction that's equivalent to 6/7. The sum of the numerator and the denominator is 78. What is the fraction?
a_sh-v [17]
6*6= 36
7*6- 42

36+42= 78. 

The fraction is 36/42.
8 0
2 years ago
Read 2 more answers
What dose the point 0,0 represent on the blue line
lidiya [134]

Answer:

the point where the two coordinates meet

Step-by-step explanation:

6 0
3 years ago
I need help with this
cupoosta [38]

Answer:

x=45

Step-by-step explanation:

This is a triangle so it interior degrees will add up to 180.

W

Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.

We can find OAC by using the triangle interior theorem,

45 + 90 + x = 180

135 + x = 180

x = 45

3 0
2 years ago
What is the expression (cscx+cotx)^2 the same as?
Nataly_w [17]
<span>c)1 + 2cot^2x + 2cscx cotx

because cosc^2x=1+cot^2x</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • I need help ASAP (20) points
    11·1 answer
  • The division property of equality could be used to solve which of the following equations?
    12·2 answers
  • Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple
    11·1 answer
  • Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end
    15·1 answer
  • PLEASE HELPPP! WILL GIVE BRAINLIEST!
    14·2 answers
  • Help me or pretty please
    7·1 answer
  • Identify the domain of the graph of y = -x2 - 6x – 13.
    9·2 answers
  • Which number will make the two fractions equivalent? 6/7=?/21
    11·2 answers
  • According to a weather​ report, there is a ​19% chance it will rain tomorrow. What is the probability that it will not rain​ tom
    12·2 answers
  • 3(2x+4)=−36<br><br> Find the variable
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!