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
Butoxors [25]
1 year ago
12

Would like this problem broken down step by step thanks!

Mathematics
1 answer:
antiseptic1488 [7]1 year ago
4 0

Answer:

m=12

Explanation:

Given any quadratic function, y=ax²+bx+c.

We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:

D=b^2-4ac

• If D>0, the roots are real and unequal.

,

• If D=0, the roots are real and equal.

,

• If D<0, the roots are complex.

In our given equation:

\begin{gathered} y=18x^2+mx+2 \\ a=18,b=m,c=2 \end{gathered}

For the function to have exactly one zero, the value of D=0.

\begin{gathered} D=b^2-4ac=m^2-4(18)(2)=m^2-144 \\ D=0\implies m^2-144=0 \\ Add\text{ 144 to both sides.} \\ m^2=144 \\ Take\text{ the square root of both sides} \\ \sqrt{m^2}=\sqrt{144} \\ m=12 \end{gathered}

The value of m for which the function will have one zero is 12.

You might be interested in
Classify the solid.<br> PLS HELPP
Kruka [31]
Trapezoidal Prism

It is a prism with 2 bases of shape trapezoid
7 0
3 years ago
Read 2 more answers
How many students tired out for the volleyball team is this a statistical or no
vodomira [7]

That question is not a statistical question since there will be only one answer. If it were to be statistical it would have multiple answers an example of that type of question would be, Why did you decide to try out for the volleyball team? This is statistical because some could say they joined for fun, credits, to do something active, etc.. there would be multiple answers. Your question, How many students tried out for the volleyball team isn't statistical since it will have one answer such as, 26 students, 15 student, 2 students, etc...

Hope this helped!

4 0
3 years ago
Three consecutive even integers whose sum is -48​
Salsk061 [2.6K]
Three consecutive even integers whose sum is -48
6 0
3 years ago
23, 34, 27, 7, 30, 26, 28, 31, 34 What number is an outlier for the given data? A) 7 B) 23 C) 31 D) 34
marin [14]
An outlier for a data set is a number which stands out, meaning it is not close to the rest of the numbers. It can either be greater OR less than the rest of the numbers. 

<span>23, 34, 27, 7, 30, 26, 28, 31, 34

Which number stands out from this data set?

Yep! 7. This is because it is not close to the other numbers, whereas the other numbers are closer to each other.

A) 7.</span>
7 0
3 years ago
Read 2 more answers
A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta
kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0
3 years ago
Other questions:
  • Which of the following is not a binorrial experiment?
    6·1 answer
  • Nina's monthly budget is $2,250. Every month she makes the following payments:
    13·2 answers
  • I'm lost on this one please help thank you
    7·2 answers
  • A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot, ho
    14·1 answer
  • How many milliseconds are there in one day?
    11·2 answers
  • In the past month, Ann rented 1 video game and 6 DVDs. The rental price for the video game was $2.70 . The rental price for each
    14·1 answer
  • If anyone can help that would be great!
    9·1 answer
  • Seventeen less than a number<br> is negative two. What is that<br> number?
    12·2 answers
  • Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-p
    5·2 answers
  • Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!