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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

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The answers of this question
Delicious77 [7]

Answer:

1. 1/2 × 7 × 6 = 21

answer is b. 21 cm²

2. answer is d. 3

3. answer is c

4. answer is b

6 0
3 years ago
What is the length of C D?
Naily [24]

Answer:

3

Step-by-step explanation:

As the CD line is parallel to x-axis hence the separation or length is measured on the x-axis i.e.

the length of CD = length of C - length of D = 7 - 4 = 3

4 0
3 years ago
How do I solve for y?
ryzh [129]

Answer:

Step-by-step explanation:

The angle containing y and 63 are vertically opposite. They are equal.

y + 23 = 63                   Subtract 23 from both sides

y +23-23 = 63 - 23

Answer y = 40

6 0
2 years ago
(y+8)-3=16 solve by using the associative property
zysi [14]

Answer:

y = 11

Step-by-step explanation:

(y+8)-3=16

y + 8 - 3 = 16

y + 5 = 16

y = 11

4 0
3 years ago
SOMEONE PLEASE ANSWER AND I WILL GIVE BRAINLIEST :))
UNO [17]
Ok, so we know it costs $1.10 to make a pin, so the cost of making all 1000 pins must have been:
1.10 \times 1000 = 1100
We know that 35% of the pins, hence 350 pins, were given to charity (we assume this means donated for free), and so the company sold 650 pins.

60% of these we sold at $3 each;
0.60 \times 650 = 390
So 390 pins sold at $3 each comes to
390 \times 3 = 1170
So the company has already made $1170.

The other 40% of the 650 remaining pins (260 pins) were sold at $5 for 2. We assume from the question that they were only sold in pairs and were all sold, so we can essentially figure out that 130 pairs were sold at $5 each;
130 \times 5 = 650
So the company has sold the pins for $650 + $1170 = $1820

This means that the company has made
$1820 - $1100 = $720 as profit

So the percentage profit earned (profit/cost times 100%) would be
\frac{720}{1000}  \times 100 = 65.4545....
Which to one decimal place is 65.5% profit.

Hope this helped.



6 0
4 years ago
Read 2 more answers
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