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valina [46]
1 year ago
12

Let f(x) = - 13x + 12 and g(x)= x² + 2.--Find f(3)/g(3).f(3)/g(3) = (?)(Type an integer or a simplified fraction.)

Mathematics
1 answer:
mel-nik [20]1 year ago
3 0

We have the next two equations:

f(x)=-13x+12

And

g(x)=x^2+2

We need to find f(3)/g(3)

First, let's find f(3):

f(3)\text{ = -13(3)+12 = -27}

Then g(3):

g(3)=(3)^2+2\text{ = 11}

Now, the equation f(3)/g(3) :

\frac{f(3)}{g(3)}=\frac{-27}{11}

-27/11 is the result.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Katena32 [7]

Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

(-5^{-3})^{-1}=(-5)^0

we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

4 0
3 years ago
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