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luda_lava [24]
4 years ago
10

Find the domain of

Mathematics
1 answer:
ch4aika [34]4 years ago
6 0

Answer:

C (x ≥ -6)

Step-by-step explanation:

<u>Algebraic:</u>

The domain of \sqrt{x} is x\geq 0. When transformed 6 units to the left, it becomes x\geq -6

<u>Graphically:</u>

As shown in the attached graph, x\geq -6 .

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C) 6 to 5

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Ernesto has $70 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will he have i
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3 years ago
What is the common difference in the following arithmetic sequence
tensa zangetsu [6.8K]

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3 0
3 years ago
How to solve this? Is the question correct? ty :)
bezimeni [28]

Answer:

The proposition is true.

Step-by-step explanation:

Now we proceed to demostrate that expression given is true by algebraic means:

1) \frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}} Given

2) \frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}   \frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}

3) \frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}} Distributive property/a^{b}\cdot a^{c} = a^{b+c}

4) \frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}} Commutative, associative and modulative properties/Existence of additive inverse/a^{b}\cdot c^{b} = (a\cdot c)^{b}

5) [(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2}) Commutative property/Definition of division

6) (x\cdot y)\cdot (x^{-2}+y^{-2})         (x^{-1})^{-1}

7) x^{-1}\cdot y + x\cdot y^{-1} Distributive property/Associative property/a^{b}\cdot a^{c} = a^{b+c}

8) (x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}  Modulative property/Existence of additive inverse/a^{b}\cdot a^{c} = a^{b+c}

9) (x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2}) Distributive property

10) (x\cdot y)^{-1}\cdot (x^{2}+y^{2}) a^{b}\cdot c^{b} = (a\cdot c)^{b}

11) \frac{x^{2}+y^{2}}{x\cdot y} Commutative property/Definition of division/Result

4 0
3 years ago
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