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Marizza181 [45]
4 years ago
6

Prove algebraically what type of function this is (even, odd, or neither).

Mathematics
1 answer:
Kitty [74]4 years ago
4 0

The given function is even.

Solution:

<em>If f(-x) = f(x), then the function is even.</em>

<em>If f(-x) = -f(x), then the function is odd.</em>

Given function:

f(x)=x^{6}-x^{4}

Substitute x = -x

f(-x)=(-x)^{6}-(-x)^{4}

          =x^{6}-x^{4}

          = f(x)   (given)

   f(-x) = f(x)

From the definition, it is even.

Hence the given function is even.

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4 years ago
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3 years ago
A retangle has a perimeter (p) of 58 inches. The length (L) is one more than 3 times the width (W)
worty [1.4K]

The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?

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Step-by-step explanation:

GIven:-

Perimeter (p)=58 inches,

Length(L)= one more than 3 times the width(W)

Let, W=x   ---------------------------------(equation 1

L=3x+1  -----------------------(equation 2)

Here x is unknown and to find the Width(W) we have to find the value of x.

Now,

Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

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Therefore, Length(L) = 22 inches and Width(W) = 7 inches.

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