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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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For each boat he sells, nick earns $149 in addition to 2% of the purchase price of the boat as commission. If p represents the p
muminat

Answer:

The equation c = 0.02p+149 represents micks commission.

Step-by-step explanation:

Given that:

Amount earned by Nick on sale of each boat = $149

Commission earned = 2% of the purchase price

p represent the purchase price

Commission earned = \frac{2}{100}*p

Commission earned = 0.02*p

Commission earned = 0.02p

Total commission = c = 0.02p + 149

Hence,

The equation c = 0.02p+149 represents micks commission.

3 0
3 years ago
Help me, please I cant figure it out.
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Answer:

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3 years ago
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Instructions: Write the explicit rule. Remember to simplify and do not put spaces in your answer. Sequence: 30,0,−30,−60,… 30 ,
kodGreya [7K]

Answer:

a(n)=60-30n

Step-by-step explanation:

Equation to use:

a(n) = a(1) + d(n-1)

where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.

In this case, a(1) is 30, d is -30, and n is just n.

If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.

Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.

7 0
4 years ago
How to find cube root without find the prime factors​
dsp73

Answer:

Below.

Step-by-step explanation:

One method is by Trial and Improvement.

Example: Find the cube root of  20.

We know that cube root of 8 is 2 and cube root of 27 is 3 so the cube root of 20 is between 2 and 3.

So we could try 2.5:

2.5^3 = 6.25 * 2.5  - Use long multiplication to get 15.625.

So we need to go higher so we try 2.6*3:

=  17.576

2.7^3 = 19.683.

2.8^2 = 21.952.

The results are either side of 20 with 19.683 the closest.

So we can say  that the cube root is 2.7 to the nearest tenth.

Further calculations are necessary to get an answer correct to the nearest hundredth.

This is a rather long process.......

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3 years ago
This is bellwork for 6th period <br> Help?
shusha [124]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
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