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
Zigmanuir [339]
3 years ago
11

Answer this please I need a real answer

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

-----------------------------------

(b)

\frac{x+2}{3} - \frac{2}{15} = \frac{x-2}{5} ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

--------------------------------------------

(c) Assuming lg means log then using the rules of logarithms

log x^{n} ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

You might be interested in
Acelynn borrows $1337 to buy a four wheeler. The interest rate is 4% for the 14 year loan. Q: A: How much interest will she pay
Ksivusya [100]

1337 x 0.04 ( 4% ) = $53.48

$ 53.48 x 14 ( years ) = $748.72

6 0
3 years ago
Help, i think i got it? but i wanna make sure.
Elenna [48]

Answer:

ya thats the write equation i dont know what the adios say but u got the equation right

Step-by-step explanation:

5 0
2 years ago
19/24 as a decimal rounded to the nearest hundredth
borishaifa [10]

Answer:

0.79

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Write an expression to represent "the sum of triple a number and fifteen."
lana66690 [7]
The sum is adding
3 times a number is 3x
And 15 is +15
3x+15
3 0
3 years ago
I need to know the answer of this question
Kazeer [188]
O first find the unit rate 15.54 divided by 7 which is 2.22x 15=$33.30
4 0
3 years ago
Read 2 more answers
Other questions:
  • Help please i don't understand °∧° ∧.∧
    10·1 answer
  • The senate in a certain state is compromised of 58 republicans, 39 democrats, and 3 independents. How many committees can be for
    6·1 answer
  • If you are doing Algebra math papa is really helpful. All you have to do is input your equation and it gives you the all the ste
    12·2 answers
  • What’s 2/12 in its simplest form
    8·2 answers
  • It’s something from khan academy
    5·2 answers
  • A gym membership in 2010 was $8,700. Now it is $6,400.
    7·1 answer
  • Convert 24 4/5 into percent
    13·1 answer
  • Which number is prime? 4 , 9, 21 , 23
    5·2 answers
  • Activity 1: Directions: Write TRUE if the statement is true and FALSE if the statement is false.
    15·1 answer
  • Can someone help me with this please? thank you!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!