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
The gum you like to is on sale. it is regularly priced at $1.59. Write and equation that will help determine how much you’ll sav
Mademuasel [1]
C=s-1.59 that should be the answer see ya
8 0
3 years ago
3 doughnuts and 2 cakes costs £7.
Rufina [12.5K]

Answer:

cost of the doughnut = 1

cost of the cake =2

5 0
3 years ago
Expression is not equivalent to (1 − sin2(x)) tan(-x).
Hitman42 [59]
Are You trying to find out the equivalent expression? or...
7 0
3 years ago
guys i need your help you will get 15 points for helping this is 7th grade math if i had 10 apples and my mom had 6 what happene
sergejj [24]

Answer:

ummmmmmm is that the whole question cuz apearently im slow cuz i dont understand and im in 10th

Step-by-step explanation:

5 0
2 years ago
Several high schools participated in a study to evaluate the effectiveness of a new computer-based math curriculum. In all these
tensa zangetsu [6.8K]

Step-by-step explanation:

a

the study is experimental as we do not just observe students performance. 2 techniques were also randomly assigned. there is control over teaching techniques and performance is also observed.

b.

these are the 3 factors: high school, instructions type, scores.

high school has 2 levels. level 1, is 3 high school. level 2: each high school has 4 sections and these 4 have 24 students.

instructions type: 1 level divided into standard and computer based.

scores: 0 ( no level)

c.

high school has between subject combination since there are 3 schools and 4 sections.

instructions type has between too. since there are two different types.

we have 24 students in each section which are within subjects.

d.

score on test is dependent variable

e.

student is basic experimental unit.

4 0
3 years ago
Other questions:
  • Using the table for many repetitions of the experiment of tossing a coin 10 times, what is the mean number of heads in 50 repeti
    5·1 answer
  • List the partial products of 42 x 28
    10·2 answers
  • What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,5
    10·1 answer
  • I need help plss help
    13·1 answer
  • I am a multiple of 60 I am between 400 and 600 I am 40 away from a multiple of 100 who am I
    5·1 answer
  • A single die is rolled. find the probability of rolling an odd number or a number less than 4.
    10·1 answer
  • What is 1099 divide by 54
    14·2 answers
  • It is 2,949 miles round trip to Craig's aunt's house.
    12·1 answer
  • Consider AWHY below.
    10·1 answer
  • Solve my math question
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!