4 years ago

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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Which expression is not equivalent to 75(12+16)

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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]

Corrected Question

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 :

Part 1

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

Part 2

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$

Part 3

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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4 years ago

Find 49 divided by 7 please

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By rounding to 1 significant figure, estimate 392.72 ÷ 8.44

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Answer:

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