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
Please help math graphs
Hoochie [10]

what you put is right


6 0
3 years ago
What function is shown on the graph ??
galina1969 [7]
The function shown is f(x)= -1/2 cos(x).

sin(x) makes the line way more “curverier” So both sin(x) functions are out. It is NOT 1/2 cos(x) because it would make the y-intercept 0, not .5 In the picture it’s starting at .5 so it’s f(x)=-1/2 cos(x)
4 0
3 years ago
Juanita is measuring a table for her dining room. Table area is 46 7/8 square feet. Table length is 7 1/2 feet. She does not wan
Anastaziya [24]
No. If you still want the  46 7/8 square foot table and less than 6ft wide than the table length must be greater than 7 1/2 feet long. For the math to work out. Because, the 7 1/2 foot long table would need a 6 1/4 wide table to fit the 46 7/8 square foot.
5 0
3 years ago
Select the equivalent expression that shows the fewest possible terms.
LenaWriter [7]

Answer:

Step-by-step explanation:

7a-10c-2a-0.5c+5

5a-10.5c+5

it is your first choice

7 0
3 years ago
Read 2 more answers
Which of these numbers has the greatest absolute value-3 1 -9 5
Burka [1]
I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options
3 0
3 years ago
Other questions:
  • You bought a large container of fruit punch. The label on the container says there are 128 fluid ounces of fruit punch in the co
    11·2 answers
  • This week there are 144 members at the meeting, which is 90% of the total group​. What is the total number of green team members
    14·1 answer
  • True or false all numbers have a decimal point we just don't write them for whole numbers
    15·2 answers
  • Please answer ASAP!! Thank you in advance, and remember to wash your hands consistently for 1 minute with antibacterial soap.
    5·1 answer
  • How many golf balls would fit in a 55 gallon drum? (One 2allon = 231 cubic inches; golf ball radius = .840 inches Volume of sphe
    13·1 answer
  • In isosceles △abc the segment bd (with d∈ ac ) is the median to the base ac . Find bd, if the perimeter of △abc is 50 meters, an
    7·1 answer
  • Which best explains why the equation 4x + 5 = 4x - 1 has no solutions? A. The equation has a variable on both sides. B. The equa
    9·2 answers
  • Subtract:<br> -9 - (-4)<br> = ?<br><br> Thanks :)
    12·2 answers
  • Please help ASAP please and thank you have a great day and blessed day!!
    14·1 answer
  • Please help i will mark brainliest!!!!<br> i need A B and C
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!