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
Naddik [55]
3 years ago
12

3x^+5x+2=0

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

<u>Given equation:</u>

  • 3x² + 5x + 2 = 0

<u>Factorize it in steps:</u>

  • 3x² + 5x + 2 = 0
  • 3x² + 3x + 2x + 2 = 0
  • 3x(x + 1) + 2(x + 1) = 0
  • (x + 1)(3x + 2) = 0

<u>The roots are:</u>

  • x + 1 = 0 ⇒ x = - 1
  • 3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 2/3
Kryger [21]3 years ago
4 0

\\ \tt\hookrightarrow 3x^2+5x+2=0

  • Split the middle term

\\ \tt\hookrightarrow 3x^2+3x+2x+2=0

  • Take commons

\\ \tt\hookrightarrow 3x(x+1)+2(x+1)=0

\\ \tt\hookrightarrow (3x+2)(x+1)=0

\\ \tt\hookrightarrow x=\dfrac{-2}{3}\:or\:x=-1

You might be interested in
If 7 to the second power in parentheses to the X exponent equals 1 what is the value of x
sergey [27]
(7^2)^x = 1
49^x = 1

You should know that anything to the power of 0 is equal to 1, therefore x = 0.

49^0 = 1


Hope that helps :)
8 0
4 years ago
How to find area of a composite shape
AlekseyPX
You need to cut the shape into other shapes that you know the formula off
7 0
3 years ago
HELP PLEASE!
Dima020 [189]
X = the number of minutes the phone is used

<u>Plan A:</u>
40¢ per minute  ($0.40)
no other costs
<em>Cost for 1 month = 0.4 x</em>

<u>Plan B:</u>
$30 a month, even if you don't use the phone at all
100 free minutes
then 50¢ per minute  ($0.50)


Cost for 1 month:

If 'x' is less than 100:    <em>Cost = 30</em>

<span>
If 'x' is greater than 100</span>: 

Cost = 30 + 0.5(x - 100)  (Because the first 100 minutes are free, and
you only pay for minutes past 100.  There are [x-100] of those.)

Eliminate parentheses:    Cost = 30 + 0.5x - 50

Combine like terms:         <em> Cost = 0.5x - 20</em>

Which plan costs more ?  It depends on how many minutes you use in a month.
If you use a small number of minutes, Plan A costs you more.
If you use a huge number of minutes, Plan B costs you more.

Where is the crossover point ? It's the number of minutes in one month
where the costs of both plans are equal.

<u>If you use the phone for less than 100 minutes a month,</u>
(where the cost of Plan B starts increasing with each minute):

0.4x = 30

Divide each side by 0.4:  <em>x = 75</em>

Less than 75 minutes per month, Plan A costs less.
Past 75 minutes a month, Plan A costs more than $30, so Plan B costs less,
until Plan B starts charging for extra minutes.

<u>If you use the phone for more than  100 minutes a month: </u>

0.4 x  =  0.5 x - 20

Add 20 to each side:       0.4 x + 20  =  0.5 x

Subtract 0.4x from each side:    20 = 0.1 x

Multiply each side by 10:   <em> 200 = x</em>

There it is.

Now we can combine the results:

-- Less than 75 minutes in a month:    Plan A costs less.

-- Between 75-200 minutes in a month:   Plan B costs less.

-- More than 200 minutes a month:       Plan A costs less again.

Complicated ?  Absolutely !  That's why citizens' consumer groups are after
these companies, to try to get them to make their plans more understandable
to regular people.   I know from personal experience that even a lot of the
salesmen in the phone stores could not figure this out and give you sound advice.


8 0
3 years ago
PLEASE PLEASE HELP IM TIMED!! Just look at the picture
barxatty [35]
The first one A 7/2
You can just round up 6.75 -> 7 and 1.67->2
4 0
2 years ago
Read 2 more answers
What is the sum? StartFraction 3 y Over y squared 7 y 10 EndFraction StartFraction 2 Over y 2 EndFraction.
uranmaximum [27]

You can take LCM and then can add to see what's the sum.

The sum result of given expressions is given by: \dfrac{5}{y+5}

<h2>Given that:</h2>
  • To find sum of  \dfrac{3y}{y^2 + 7y + 10} and  \dfrac{2}{y+2}

<h2>Finding LCM and summing:</h2>

You can take LCM and then can add to see whats the sum.

\begin{aligned}\dfrac{3y}{y^2 + 7y + 10} + \dfrac{2}{y+2} &= \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\&= \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\&= \dfrac{5y+10}{(y+2)(y+5)}\\&= \dfrac{5(y+2)}{(y+2)(y+5)}\\&= \dfrac{5}{y+5}\\\end{aligned}

Thus, the sum of given expressions is given by:

\dfrac{5}{y+5}

Learn more about algebraic sums here:

brainly.com/question/14964662

8 0
2 years ago
Other questions:
  • Simplify: 54x2 16 i need the answer now plzzz
    13·1 answer
  • Find the prime factorization of 90
    6·1 answer
  • HELP GEOMETRY!!!!!! The newest feature at the Great Park is the big orange balloon. The volume of this perfectly spherical ballo
    11·1 answer
  • A grocery store sells 6 bottles of water for $4 and 18 bottles of water for $10. Is the cost of the water proportional to the nu
    5·1 answer
  • Angelica’s speed is 4 cm/minute, Monique’s speed is 3.5 cm/minute, and Courtney’s speed is 5.5 cm/minute. Which turtle will win
    10·2 answers
  • Do the ratios 4:18 and 2:9 form a proportion?<br> yes<br> no
    8·1 answer
  • CAN YOU GUYS PLEASE HELP ME
    5·1 answer
  • HELP PLASE I REALLY DONT WANNA FAIL WILL GIVE BRAINLIEST
    6·2 answers
  • Find two number nearest to 8888888 which are exactly divisible by 2915​
    9·1 answer
  • Solve the equation. y 3 = –y 9 y = 1 y = 3 y = 6 y = 9
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!