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klasskru [66]
3 years ago
14

The visual representation below is used to show the relationship between sets of real numbers. Which of the following values wou

ld
not be included in set "C"?

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:it’s -12.35

Step-by-step explanation:

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When dividing exponents with the same base, what operation do we use
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Answer:

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.

Step-by-step explanation:

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Determine the domain and range of the quadratic function. (Enter your answers using interval notation.) f(x) = −4(x + 1)2 − 4
zavuch27 [327]

Answer:

Domain -∞ < x < +∞

Range f(x) ≤ - 4

Step-by-step explanation:

The given quadratic function is f(x) = - 4 (x + 1)² - 4

Now, we have to find the domain and range of the quadratic function.

Now, it is clear from the given function that f(x) will have real value for all real value of x.

Therefore, the domain of the function is -∞ < x < +∞ (Answer)

Now, (x + 1)² is always ≥ 0

i.e. (x + 1)² ≥ 0

⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}

⇒ - 4 (x + 1)² - 4 ≤ - 4

⇒ f(x) ≤ - 4

Therefore, this is the required range of the function f(x). (Answer)

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Answer:

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Step-by-step explanation:

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