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
andrey2020 [161]
2 years ago
13

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}

Step-by-step explanation:

2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c =  - 3 \\\\x = \frac{-b^2\  \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\

x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}

You might be interested in
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores
Mashutka [201]

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

<h3>What is probability distribution?</h3>

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

  • Probability distribution score:      1,       2,       3,       4,
  • x probability: p(x)                      0.06,  0.20,  0.48,  0.26

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

Learn more about the probability distribution here;

brainly.com/question/26615262    

3 0
2 years ago
Can someone please help me with this
lord [1]
Number 1
37.50 divide by 5.25 and the answer is 7
4 0
3 years ago
What is the mean of this data: 23, 37, 11, 58, 13, 45
nata0808 [166]

Step-by-step explanation:

Mean= Sumof all the numbers/ number of data

So,

23+37+11+58+13+45=187

Now...

187/6=31.166666667 Answer

hope it helps....

8 0
2 years ago
Read 2 more answers
Harvey can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
lyudmila [28]

Answer:

12 2/3 km/hour or 12.666 km/hour

Step-by-step explanation:

Because 3 1/6 is the rate for every quarter hour, simply multiply that rate by 4 in order to get the average speed over the course of an hour.

6 0
2 years ago
Of 5
aniked [119]

Answer:

Krutika

Step-by-step explanation:

Lets convert each person's typing rate to words/min.

Krutika:

80 minutes = 6000 words

1 minute = (6000/80) words

              = 75 words

Typing Rate: 75 words / min

Mark:

60 minutes = 4200 words

1 minute = (4200/60) words

              = 70 words

Typing Rate: 70 words / min

David:

90 minutes = 5850 words

1 minute = (5850/90) words

              = 65 words

Typing Rate: 65 words / min

From the above, we can see Krutika has the fastest rate of words per minute.

3 0
2 years ago
Other questions:
  • What is the radius of the circle given by the equation x^2+y^2=49?
    5·2 answers
  • What is the standard form formula
    15·1 answer
  • What's the answer for
    10·1 answer
  • Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every
    8·1 answer
  • 1 1/3 times 2/3 times 5 1/3
    14·2 answers
  • Solve<br><img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%20x%29x%5E%7B-2%7D%3D" id="TexFormula1" title="(\frac{1}{4}
    6·1 answer
  • Use the bar graph to find the experimental probability of the event. Write your answer as a fraction or percent rounded to the n
    9·1 answer
  • Please simplify 10 divided by 8 divided by 7 and put t as a fraction please and thank you:)
    11·1 answer
  • The point V is plotted on the coordinate grid below. Plot the point V′, the reflection of
    9·1 answer
  • Here you go- ツツツツツツツ
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!