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
a_sh-v [17]
2 years ago
15

Rewrite the function by completing the square f(x) =4x2+12x+9

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 4x² + 12x + 9

The coefficient of the x² term must be 1 so factor out 4 from the first 2 terms

f(x) = 4(x² + 3x) + 9

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 3x

f(x) = 4(x² + 2(\frac{3}{2})x + \frac{9}{4} - \frac{9}{4}) + 9

     = 4(x + \frac{3}{2})² - 9 + 9

     = 4(x + \frac{3}{2})²

Thus

f(x) = 4x² + 12x + 9 = 4(x + \frac{3}{2})²

You might be interested in
Point b is between points a and C. AB=2x+5 and BC=5x-1. What is the length of AB
telo118 [61]

Answer: AB = 9

Step-by-step explanation:

Since B is the midpoint,  AB and BC must be congruent (since theyre both half of the segment). The equation is:

2x + 5 = 5x - 1

This means x = 2, meaning AB is 9.

7 0
2 years ago
If 10 beach balls cost 24.50, how much is 1 beach ball?
aleksley [76]

Answer:

it's 2.45

Step-by-step explanation:

because 24.50 divided by ten is 2.45

6 0
3 years ago
Read 2 more answers
Division A reports the following data: Sales = $180,000, Net income = $18,000, Average'assets
Karolina [17]

Company A is operating more efficiently

Step-by-step explanation:

Given parameters:

Division A:

Sales = $180,000

Net income = $18,000

Average assets = $72,000

Division B:

Sales = $60,000

Net income = $9,600

Average assets = $48,000

Unknown:

Division operating more efficiently = ?

Solution:

Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.

The net income is the profit derived from sales of a company's products.

The higher the value the more efficient a company is.

 Efficiency = \frac{net income}{Average assets} x 100

 Efficiency of division A = \frac{18000}{72000} x 100 = 25%

 Efficiency of division B = \frac{9600}{48000} x 100 = 20%

Division A has a higher efficiency compared to B

Learn more:

Economic goals brainly.com/question/8951463

#learnwithBrainly

3 0
2 years ago
What is the mean of the data?
Law Incorporation [45]

Answer: B, 5.5

Step-by-step explanation:

4+4+4+5+5+6+6+6+6+9=55

55/10=5.5

5 0
2 years ago
Tap the image to view it please I will give crown and points
wariber [46]

Answer:

3848.45mm

Step-by-step explanation:

Area = \pi r^{2}

35^{2} = 1225

1225 * \pi = 3848.45

3 0
3 years ago
Read 2 more answers
Other questions:
  • The width of a rectangle is 3 3 feet longer than two times its length, and its area is 27 27 . If you use L L to represent the l
    6·2 answers
  •  why is 0.5%  not equal to 1/2?
    15·2 answers
  • Question 2, what is true about side AC?
    15·1 answer
  • Vectors hw, plz help
    12·1 answer
  • Please help!! I really don't want to get this one question wrong and mess up my score :(
    14·2 answers
  • 6/5 B + g^2 = d <br> B = ?
    6·1 answer
  • Help please thank you
    5·1 answer
  • Which expression has the greatest value 49.2,49-16,25+16,25.3
    11·1 answer
  • Please help ASAP!<br>14 is 70% of what number? <br>Enter your answer he box​
    9·2 answers
  • 3. Considering the following two-way frequency table:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!