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vesna_86 [32]
3 years ago
14

Evaluate the expression x²-3y +12 for x= -2 and y = 5​

Mathematics
1 answer:
n200080 [17]3 years ago
4 0

Answer:

1

Step-by-step explanation:

  • x²-3y + 12
  • (-2)²-3(5) + 12
  • 4 - 15 + 12
  • -11 + 12
  • 1
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For what value of a does 9=(1/27)^a+3
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Given: <span>9=(1/27)^(a+3)

[Note:  Please review rules of PEMDAS.  
The question posted as is means
</span><span>9=[(1/27)^a]+3 which is probably not what you mean.  It has been interpreted with (a+3) as the exponent, please check.]
</span><span>
Need to find value of a that satisfies above.

We will first isolate a in order to solve for its value.
</span>9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3

Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok

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7 0
4 years ago
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Step-by-step explanation:

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