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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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How do you solve a/7+5/7=2/7
Anton [14]
\frac{a}{7} + \frac{5}{7} = \frac{2}{7} \\ \frac{a + 5}{7} = \frac{2}{7} \\ 7(\frac{a + 5}{7}) = 7(\frac{2}{7})
a + 5 = 2
a + 5 - 5 = 2 - 5
a = -3

Hope this helps! :)
4 0
3 years ago
Sven has $1 and a dime in his pile. Dayna has 11 dimes in her pile. If Sven gives Dayna $1 and Dayna gives Sven 10 dimes, will t
viva [34]

Answer:

Yes

Step-by-step explanation:

Because a dollar and a dime and 11 dimes are equal in value ($1.10)

And they exchange 1 dollar and 10 dimes which is also the same amount. So they will be the same.

8 0
2 years ago
Mr falcons pizza shop offers three sizes of pizza the small medium and large they have diameters of 8 inches 10 inches and 12 in
yuradex [85]
The circumference = 2×pi×radius
the small = 2×3.14×4 = 25.12 inches
the medium = 2×3.14×5 = 31.4 inches
the large = 2×3.14×6 = 37.68 inches
6 0
3 years ago
A fraction reduces to 36. If its denominator is 6x5, what is its numerator?
olchik [2.2K]
If you would like to find the numerator of a fraction, you can do this using the following steps:

denominator ... 6 * 5 = 30
numerator ... x = ?

36 = numerator / denominator
36 = x / 30
x = 36 * 30
x = 1080

The correct result would be 1080.
4 0
3 years ago
How many pairs of triangles appear congruent? The triangles may overlap
Crank
We will need an image but i am happy to change my answer with the correct answer as soon as we have what we need

7 0
3 years ago
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