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]
4 years ago
9

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

Mathematics
2 answers:
Flura [38]4 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]4 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
Write 0.24 as a fraction in simplest form
guapka [62]
The answer is 24/100
4 0
3 years ago
Three pith balls supported by insulating threads hang from a support. We know that ball X is positively charged. When ball X is
Tamiku [17]

Answer:

B. z has a negative charge

Step-by-step explanation:

7 0
3 years ago
Which inequality comparing two of the expressions below is true when 0.5
Aleonysh [2.5K]

Answer:

<u>Option C</u>

Step-by-step explanation:

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. \frac{x}{3} > \sqrt{x}

If x = 0.6

∴0.6/3  >  √0.6 ⇒  0.2 > 0.77  ⇒ <u>Wrong inequality </u>

B. x³ > 1/x

If x = 0.6

∴ 0.6³ > 1/0.6  ⇒ 0.216 > 1.667  ⇒ <u>Wrong inequality </u>

<u></u>

C. √x > x³

If x = 0.6

∴ √0.6 > 0.6³  ⇒ 0.77 > 0.216  ⇒ <u>True inequality </u>

D. (x/3) > (1/x)

If x = 0.6

∴  0.6/3  >  1/0.6   ⇒ 0.2  > 1.667  ⇒<u> Wrong inequality </u>

<u>So, The true inequality is option C</u>

8 0
3 years ago
*BRAINLIEST* (Easy Question: Warm UP) Find a positive solution to each equation: x2 = 9/4?
prisoha [69]

Answer:

<u>A</u>

Step-by-step explanation:

<u>Given</u>

  • x² = 9/4

<u>Solving</u>

  • Take the square root on both sides
  • √x² = √9/4
  • ⇒ x = 3/2
  • <u>Option A is the correct option.</u>
7 0
2 years ago
Read 2 more answers
Hurry I Will Give Brainliest!!
beks73 [17]

Answers:

  • Vertex
  • 3
  • middle

If an angle is labeled with a single letter, that letter represents the <u>  vertex  </u> of the angle.

If more than one angle has the same vertex, you must use <u>  3   </u> points to name the angle. The <u>  </u><u>middle  </u> point named must be the vertex.

=================================================================

Explanation:

If we have a single triangle, and no other extra lines, then we can use single letters to name the three angles. Each vertex of the triangle corresponds to the vertex of that angle.

If you were to draw many triangles, in which some may or may not overlap, you'll mostly likely need to name the angle using 3 letters. This is so you are very specific about which angle you're talking about. The middle letter is always the vertex. The left and right letters are points on the arms of the angle. The order of the left and right letters doesn't matter as long as the middle letter stays the same. So something like angle ABC is the same as angle CBA.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The price for digital downloads of music is represented by the linear functions f(x) shown on the graph. The price for digital d
    8·1 answer
  • Write 15 1/4% as a decimal (not as a percentage)
    8·1 answer
  • I need help with this quick
    9·1 answer
  • I don't understand!What do i put?!
    14·1 answer
  • there are 657 lights on you set. on any given day 6 of them burn out and need to be replaced . if each light cost $45 how much d
    14·1 answer
  • How much interest is earned on a principal of $671.37 invested at an interest rate
    11·2 answers
  • Have you ever heard someone ask a question that made you feel defensive or insecure? How might they have reframed that question?
    13·1 answer
  • Point A has coordinate A(3, 2). The point is rotated 180° clockwise about the origin. What is the x-coordinate of point A’?
    5·2 answers
  • How many km are equal to 5,995 dm?
    15·2 answers
  • Simplify (20+16−8) ÷ (12−10) − 3(2)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!