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Citrus2011 [14]
3 years ago
12

Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

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Answer:

Solution given:

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Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x
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Answer:

A) 3^{x}*3^{x}

B) 3^{2x}

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Step-by-step explanation:

Given the exponential expression, 9^{x}:

A)  3^{x}*3^{x} is equivalent to 9^{x} due to the Product Rule of exponents:  a^{m} a^{n} = a^{m + n}.  

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Next, apply the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x}  = 9^{x}

B)   3^{2x}  is equivalent to 9^{x} due to the Power-to-Power Rule of exponents:  a^{mn} = (a^{m} )^{n}.  

  • 3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}.    

C)  (3 * 3)^{x}  is equivalent to 9^{x} due to the Product-to-Power Rule of exponents:  (ab)^{m} = a^{m} b^{m}.  

  • (3 * 3)^{x} = (9)^{x}  = 9^{x}  
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