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IRINA_888 [86]
4 years ago
8

Translate sentence to inequality

Mathematics
1 answer:
jekas [21]4 years ago
5 0

B + 4  = the sum of b and 4

≥  = is greater than or equal to

-17


b + 4 ≥ -17

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12ksidhdowjbwi12538637374744874

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3 years ago
Determine the value of variables a, b, and c that make each equation true.
jeyben [28]

<u>Corrected Question </u>

Determine the values of a, b and c that make each equation true.

(x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}

Answer:

  • a=-5,
  • b=28
  • c=-11

Step-by-step explanation:

To solve for a,b and c, we apply the following laws of indices

\dfrac{1}{p^m}=p^{-m} \\\\(a^m)^n=a^{m X n}\\\\$If p^m=p^n,$ then m=n

Therefore :

<u> Part 1</u>

(x^a)^6=\dfrac{1}{x^{30}}\\\\x^{a*6}=x^{-30}\\6a=-30\\$Divide both sides by 6\\a=-5

<u>Part 2</u>

To solve for b

(x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\$Since they have the same base\\b=28

<u> Part 3</u>

To solve for c

(x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\$Just as in part 2, the two sides of the equality have the same base, therefore:\\-2c=22\\Divide both sides by -2\\c=-11

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Find 49 divided by 7 please
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By rounding to 1 significant figure, estimate<br> 392.72<br> ÷<br> 8.44
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