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3 years ago

Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8. What error, if any, did she make?

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

3 0

Answer:

The answer is correct x =6.8, if she made an error, it might have been the steps she took.

Step-by-step explanation:

5.4 + x = 12.2

subtract 5.4 from both sides to put x terms on the left hand side, numerical number terms on the right hand side

5.4 - 5.4 + x = 12.2 - 5.4

x = 6.8

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If f(x)=3x+2,find f(f^-1(14)).

lisov135 [29]

Answer: 14

<u>Step-by-step explanation:</u>

f(x) = 3x + 2

To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y

x = 3y + 2

x - 2 = 3y

$\dfrac{x-2}{3}=y$

$\implies f^{-1}(x)=\dfrac{x-2}{3}$

$\implies f^{-1}(14)=\dfrac{14-2}{3}$

$\implies f^{-1}(14)=\dfrac{12}{3}$

$\implies f^{-1}(14)=4$

f(f⁻¹(14)) = f(4)

f(4) = 3(4) + 2

= 12 + 2

= 14

NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14

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3 years ago

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Oksanka [162]

Answer:

B. $2^{-14}*5^{10}$ .

Step-by-step explanation:

Use the power of a power property.

$(2^{-7}*5^{5} )^{2}$

Multiply all the exponents in the parenthesis by 2.

$(2^{-7}*5^{5} )^{2}=(2^{-14}*5^{10} )$

The answer is B. $2^{-14}*5^{10}$ .

Hope this helps!

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Step-by-step explanation:

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