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
Perpendicular lines intersect to form four right angles. never always sometimes
natima [27]

Answer:

Always

Step-by-step explanation:

The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.

3 0
3 years ago
Read 2 more answers
MN is the midsegment of the trapezoid ABCD. What is the length of segment AB?
vladimir1956 [14]

Dear Student,

Answer to your query is provided below:

The length of segment AB = 8

Explanation to answer is provided by attaching image.

8 0
3 years ago
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
igor_vitrenko [27]

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

3 0
3 years ago
Read 2 more answers
True or False: 3D figures have volume.
Ksivusya [100]

Answer:

True

Step-by-step explanation:

7 0
3 years ago
Find the rule and complete the
Shtirlitz [24]

Answer:

7

Step-by-step explanation:

12-7=5

or

5+7=12

3 0
3 years ago
Other questions:
  • The h.w. grant corporation used regression analysis to predict the annual cost of indirect materials. the results were as​ follo
    9·2 answers
  • 36+69-171-717171-18 so what’s that equal too
    12·2 answers
  • In this triangle, which of the following is true?
    7·2 answers
  • What is cos 45°?<br><br>A. 1<br>B. 1/sqrt of 2
    8·1 answer
  • The sum of two numbers is 60 and the difference is 2 what are the numbers. user: 25
    8·1 answer
  • The equation of a circle is ​ (x−11)2+(y+15)2=144 ​ .
    5·2 answers
  • If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2
    15·1 answer
  • Which algebraic rule describes the transformation?
    5·1 answer
  • 1. what is the distance between -3 and -5 ?<br>2. what is the distance between -5 and -3 ?​
    6·2 answers
  • Find the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of pi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!