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
Afina-wow [57]
3 years ago
9

What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?

Mathematics
2 answers:
Flura [38]3 years ago
8 0

Answer:

x = - 4 ± \sqrt{\frac{41}{2} }

Step-by-step explanation:

Given

f(x) = 2x² + 16x - 9

To find the zeros, let f(x) = 0, that is

2x² + 16x - 9 = 0

Using the method of completing the square

The coefficient of the x² term must be 1

Factor out 2 from 2x² + 16x

2(x² + 8x) - 9 = 0

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

2(x² + 2(4)x + 16 - 16) - 9 = 0

2(x + 4)² - 32 - 9 = 0

2(x + 4)² - 41 = 0 ( add 41 to both sides )

2(x + 4)² = 41 ( divide both sides by 2 )

(x + 4)² = \frac{41}{2} ( take the square root of both sides )

x + 4 = ± \sqrt{\frac{41}{2} } ( subtract 4 from both sides )

x = - 4 ± \sqrt{\frac{41}{2} }

Thus

x = - 4 + \sqrt{\frac{41}{2} } or x = - 4 + \sqrt{\frac{41}{2} }

Kay [80]3 years ago
6 0

Answer:

the answer is d

Step-by-step explanation:

x = –4 – StartRoot StartFraction 41 Over 2 EndFraction EndRoot and x = –4 + StartRoot StartFraction 41 Over 2 EndFraction EndRoot

You might be interested in
helppppp please James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described? (4
telo118 [61]

Answer:

Anwser is **42** Because if you add 32 and 10 you end up with 42

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Write a real word problem that can be represented by the equation a - 6 = 15
chubhunter [2.5K]

Answer: your friend is trying to find out how many canys are in a box(a) and he gives you 6 and has 15 left

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
In the given figure, identify which of the line segments is longer than XY. Question 15 options: A) TU B) PQ C) VW D) RS
dalvyx [7]

Answer:

A. T, U

Step-by-step explanation:

T and U are stretched across the paper. the others seem a bit close or smaller to the size of X and Y, but when you look at T and U they seem longer than X an Y

Hope this helps!!!  :)

7 0
3 years ago
Solve for the unknown number in the equation ________ − 17 = 38 − 25.
antiseptic1488 [7]

Answer:

I believe the answer is 30.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A local merchandized car wash can clean 51 vehicles in 1.5 hours. At this rate how many vehicles can the car wash clean in 12 ho
Marianna [84]

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

Now Multiplying 8 by 51

=51 x 8

= 408 cars  

7 0
3 years ago
Other questions:
  • -5a + 3 > 1 what’s the equation
    5·1 answer
  • A soccer field measures 300 feet by 180 feet. What is the area of the field?
    14·1 answer
  • You have to find the area of the figure by first finding the areas of the rectangle and triangle
    9·1 answer
  • From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the s
    9·2 answers
  • What is the value of 3-(-2)?
    12·2 answers
  • I need help..... :(((((((((((((((((((((((
    15·1 answer
  • Help please will award brainliest
    11·1 answer
  • 3x+13 what is x I need help please Need a quick response
    5·1 answer
  • I don’t know if it’s true or false I need help
    8·1 answer
  • Someone help please <br><br> 1= 39 degrees <br> 2: 40 degrees <br> 3: 41 degrees <br> 4: 42 degrees
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!