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
Ainat [17]
3 years ago
15

Prove that 3(x+1)(x+7)-(2x+5)² is never positive

Mathematics
2 answers:
scZoUnD [109]3 years ago
3 0

Step-by-step explanation:

3(x + 1)(x + 7) − (2x + 5)²

3(x² + 8x + 7) − (4x² + 20x + 25)

3x² + 24x + 21 − 4x² − 20x − 25

-x² + 4x − 4

-(x² − 4x + 4)

-(x − 2)²

A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.

Reika [66]3 years ago
3 0

Answer:

-27x - 219

Step-by-step explanation:

3x+3 * 3x+21 - 6x+15

9x+6 - (6x+15 * 6x+15)

9x+6 - 36x+325

-27x - 219

You might be interested in
Drag an expression to the box to create an equation with NO solutions.
irina [24]
The answer will be the last one as it equals 4x + 3. this means that the equation will be parallel and does not have a solution.
7 0
3 years ago
Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is
klasskru [66]

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

<h3>Which pair of events are called independent events?</h3>

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

4 0
2 years ago
A group of friends decided to buy a bulk of chocolate from a candy store if some friends each want 1 half of a kilogram of choco
notsponge [240]
12 People would be able to have 1 half kilogram of chocolate. 
In order to solve this problem you have to multiply 6 by 2. There are two halves in a whole. 6 times 2 is equal to 12. 
7 0
3 years ago
I NEED HELP REALLY BAD!
katen-ka-za [31]
<h2>Answer:</h2>

<u>The area is</u><u> 168 yd²</u>

<h2>Step-by-step explanation:</h2>

The area of Trapezoid is given by

A= (a+b)/2 * h

Putting the values

A = (5+23)/2 * 12

A = 168 yd²

7 0
3 years ago
Read 2 more answers
What is 2 = 8 − 6/4x solved?
KengaRu [80]

Answer:

x=4

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

<u />2=8-\frac{6}{4} x<u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 8 on both sides:                    -6=-\frac{6}{4} x
  2. Divide both sides by -6/4:                   4=x
  3. Rewrite:                                                x=4

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    2=8-\frac{6}{4}(4)
  2. Multiply:                        2=8-6
  3. Subtract:                       2=2
7 0
3 years ago
Read 2 more answers
Other questions:
  • Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how
    8·2 answers
  • Translate the sentence into an equation: <br> the sum of a number divided by 7 and 9 equals 3
    11·1 answer
  • 425 is decreased to 319
    6·1 answer
  • 7b - 12b + 1.4 &gt; 8.4 -22 <br><br> Solve the inequality.
    12·1 answer
  • What would the circumference of a circle if the radius was 3 inches
    6·1 answer
  • PLEEEEEASEEEE HELP!(DETENTION IMMINENT!)
    15·2 answers
  • A professional baseball player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase
    13·1 answer
  • A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.
    13·1 answer
  • But whats the answer
    7·2 answers
  • 4 4/10 divided by 4 2/3
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!