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Tems11 [23]
3 years ago
11

Use the function to find f(-2)

Mathematics
2 answers:
yulyashka [42]3 years ago
4 0
<h3>Answer:</h3>

\frac{1}{9}

<h3>Step-by-step explanation:</h3>
  1. Substitute the -2 into the equation.  f(-2)=3^{-2}
  2. Begin to simplify the exponent.  x^{-y}=\frac{1}{x^y}, so you get f(-2)=\frac{1}{3^2}
  3. Finish simplifying the exponent.  3 times 3 is 9.  f(-2)=\frac{1}{9}
algol [13]3 years ago
3 0

Answer:

f(-2) = 1/9

Step-by-step explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

f(-2) = 1/(3^2)

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

~

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Is (1, 3) a solution to the system of equations listed below? (1 point) y= 6x -3 y = x - 2
ololo11 [35]

Answer:

The solution for given system of equation is: x=\frac{1}{5}\:and\:y=\frac{-9}{5} and ordered pair is: \mathbf{(\frac{1}{5},\frac{-9}{5})}

So, (1,3) is not solution to the given system of equations.

Step-by-step explanation:

we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.

The system of equation given is:

y=6x-3\\y=x-2

Solving:

Let:

y=6x-3--eq(1)\\y=x-2--eq(2)

Put value of y from equation 2 into equation 1

y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}

Now, put value of x in equation 2 to find value of y

y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}

So, the solution for given system of equation is: x=\frac{1}{5}\:and\:y=\frac{-9}{5} and ordered pair is: \mathbf{(\frac{1}{5},\frac{-9}{5})}

So, (1,3) is not solution to the given system of equations.

7 0
3 years ago
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