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PSYCHO15rus [73]
3 years ago
15

Find the product mentally. (ab + 3)2 ab2 + 6ab + 9 2ab + 6 a2b2 + 6ab + 9

Mathematics
2 answers:
Dvinal [7]3 years ago
6 0

Answer:

a2b2 + 6ab + 9

Step-by-step explanation:

Contact [7]3 years ago
4 0

I think it's a^2 b^2 + 6ab + 9

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Problem 3.2.14a<br><br> Show that 2^2x+1 +1 is divisible by 3.
elena-s [515]

Answer:

The given expression is divisible by 3 for all natural values of x.

Step-by-step explanation:

The given expression is

2^{2x+1}+1

For x=1,

2^{2(1)+1}+1=2^{3}+18+1=9

9 is divisible by 3. So, the given statement is true for x=1.

Assumed that the given statement is true for n=k.

2^{2k+1}+1

This expression is divisible by 3. So,

2^{2k+1}+1=3n              .... (1)

For x=k+1

2^{2(k+1)+1}+1

2^{2k+2+1}+1

2^{(2k+1)+2}+1

2^{2k+1}2^2+1

Using equation (1), we get

(3n-1)2^2+1

(3n)2^2-2^2+1

(3n)2^2-4+1

(3n)4-3

3(4n-1)

This expression is also divisible by 3.

Therefore the given expression is divisible by 3 for all natural values of x.

4 0
3 years ago
Sweatshirt with new school logo cost 22.50 ,plus tax the tax is over 0.06 for every dollar spend.what is the tax on the sweatshi
coldgirl [10]

Answer:

Step-by-step explanation:

To find tax on something you multiply the base price by the tax percentage.  So if something is 100 dollars and tax is 5 percent (or .05 in decimal form), you would add 5 dollars to the price.  because 100*.05=5.

If we assume 6% as the tax then we multiply 22.50*.06 = 1.35, so you will add 1.35 to the price.  That means the new price is 22.50 + 1.35 = 23.85.

It's just asking for what the tax is though so the answer is 1.35 at 6%.  The question does say the tax is over 6% though, so that means the tax will only go up from there if the tax is over 6%

6 0
2 years ago
#7:Write the expression in simplest<br> radical form.<br> V24x5y2
vazorg [7]

2x^2y√6x


the image has the answer in a mor clear form


8 0
2 years ago
BIG IDEAS MATH <br> help me out please hurry
arsen [322]
I will but the picture is blurry
5 0
2 years ago
HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED
wel

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

7 0
2 years ago
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