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
Greeley [361]
2 years ago
14

Rewrite the function by completing the square. f(x)=x^{2}+8x+4

Mathematics
1 answer:
xxMikexx [17]2 years ago
4 0

Answer:

\implies f(x) = ( x + 2)^2

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • f(x) = x² + 8x + 4 .

And we need to rewrite the function by completing the square. The function is ,

\implies f(x) = x^2+8x + 4

  • We can rewrite the function in the form of ,

\implies ( a + b)^2= a^2+b^2+2ab

<u>Rewriting</u><u> the</u><u> </u><u>function</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2

  • This is similar to the whole square form stated above . So ,

\implies f(x) = ( x + 2)^2

<u>Hence </u><u>the </u><u>function</u><u> </u><u>in </u><u>whole</u><u> square</u><u> </u><u>form </u><u>is </u><u>(</u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u>²</u><u> </u><u>.</u>

You might be interested in
There is a 30% sale today. what would the shoes that normally cost $125 now cost?
Katena32 [7]

Answer:

$37.50

Step-by-step explanation:

$125 times30%=$37.50

6 0
3 years ago
Reggie is planning to visit a clients office. He is taking a plane to get there, and the flight is scheduled to take five hours.
lilavasa [31]

Answer: <em> x>6</em>

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve for w: k = 3pw<br> please help i have no clue
navik [9.2K]

Answer:

w = \dfrac{k}{3p}

Step-by-step explanation:

k = 3pw

Step 1: switch sides.

3pw = k

Step 2: Since you want w alone, and w is being multiplied by 3p, divide both sides by 3p.

w = \dfrac{k}{3p}

7 0
3 years ago
Write 169=13^2 in logarithmic form​
e-lub [12.9K]

Answer:

\log_{13}(169)=2

Step-by-step explanation:

The given exponential form is:

169=13^2

The base of the given expression on the right is 13 and the exponent is 2.

The number is 169.

In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.

\log_{13}(169)=2

4 0
2 years ago
Express ratio as a fraction in simplest form
Zanzabum

Answer:

\frac{3}{1}

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = \frac{30}{10} = \frac{3}{1}

6 0
3 years ago
Other questions:
  • An airplane flies 585 miles in 1.5 hours.
    9·1 answer
  • N²+17n+72=0 what does n equal ​
    5·1 answer
  • Click on the words to go to the picture
    15·2 answers
  • Pls help me this is a huge packet
    13·1 answer
  • Area of circle <br> sector and finding the percentage
    10·1 answer
  • Which of the following equations best represents the graph of a function f(m)?
    9·1 answer
  • A large balloon is tethered to the ground using a 95-foot cable. The wind is pushing the balloon so that the
    13·1 answer
  • Can someone help me?​
    7·2 answers
  • What are some decimals for - 9/4 other than -2.25
    14·2 answers
  • H
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!