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
adelina 88 [10]
2 years ago
5

Please help!!! i'll give brainliest and offering 20 pts each!!!

Mathematics
1 answer:
Aleks04 [339]2 years ago
8 0

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

You might be interested in
A researcher measured the heights of forty high-school students. The measurements are recorded here.
lord [1]
63 inches is her height

7 0
3 years ago
Read 2 more answers
Robyn opened a bank account to save her birthday money. it was paying 3.75% interest. then the interest rate went up by 0.65%. h
Savatey [412]
Her new interest rate would be 4.40%
8 0
3 years ago
Read 2 more answers
Write the standard form for 25
pishuonlain [190]

Answer:

twenty fifth

Step-by-step explanation:


3 0
3 years ago
The 12th term in a sequence with a common difference of-9 is -106. which of the following formulas can be used to represent this
Effectus [21]

Answer:

T12=a-99=106

Step-by-step explanation:

that's the answer

6 0
2 years ago
4 x tiles and 3 negative tiles = 5 x tiles and 4 positive tiles. Examine the algebra tiles. Which equation is being modeled? 4x
Andru [333]

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

i got it right on edge. :)

9 0
2 years ago
Read 2 more answers
Other questions:
  • 983488 divided by 1188. What's the remainder? DON'T USE A CALCULATOR!! NO DECIMALS!
    6·2 answers
  • 10 times as much as what is one tenth of 900
    12·1 answer
  • Solve for a.<br><br> 7a - 2b = 5a + b<br><br> a = 2b<br> a = 3b<br> a = b<br> a = b
    13·1 answer
  • 53.02 in expanded notation
    15·2 answers
  • Find the exact solutions of the equation x2 +3x + 1=0.
    7·2 answers
  • Please help !!!!!!!!
    15·1 answer
  • Three children Awuni,baba and lsaka were given 160 oranges to share.Awuni got 1/4 oranges. Baba and lsaka shared the remainder i
    15·1 answer
  • How much does michael jordan make a month
    7·1 answer
  • Lakeside Canoe Rentals
    14·1 answer
  • What is 7 ÷ 8465 remainder needed pls help!!!:)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!