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Helga [31]
3 years ago
10

Solve =x^2−4, where x is a real number. Simplify your answer as much as possible.

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

x=-2 and 2

Step-by-step explanation:

x^2-4=0

(x-2)(x+2)=0

x=-2 and 2

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Evaluate the function rule for the given value. y=15*3^x for x = -3
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Answer: y=\frac{5}{9}

Step-by-step explanation:

It is important to remember that an Exponential function has the following form:

f(x) =a* b^x

Where  “b”  is b > 0 and b \neq 1 , "a" is a coefficient, "x" is the Independent variable and f(x) is the Dependent variable.

In this case, you have the following Exponential Function given in the exercise:

y=15*3^x

If the value of Dependent variable is -3, then:

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So, you must substitute that value of "x" into the function:

y=15*3^{(-3)}

And now you must evaluate:

1. According the Negative exponent rule:

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Then:

y=\frac{15}{3^{3}}

2. Simplifying, you get:

y=\frac{15}{27}\\\\y=\frac{5}{9}

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Step-by-step explanation:

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