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3 years ago

Why is y=cosx a polynomial function

1 answer:

5 0

The graph of the cosine function: A function f is said to be odd, provided that f(–x) = –f(x), for all x. Such functions have graphs that are symmetric about the origin: Also any function with a graph symmetric about the origin is an odd function. hope that helped.

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-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination

Minchanka [31]

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

-2+4=2

2=2

Done!

5 0

3 years ago

Write h(x)=x2-6x + 3 in vertex form

Anna007 [38]

Answer: The vertex form is h(x)=(x-3)^2-6

Step-by-step explanation:

Using the complete the square method, first complete any squares

X^2-6x+(-3)^2-(-3)^2+3

Use the binomial formula

(x-3)^2 - (-3)^2 +3

Simplify

(x-3)^2-6

7 0

3 years ago

How do i factor 12y+15y^2

Archy [21]

12y+15y^2=4*3y+5*3y²=3y(4+5y)

7 0

3 years ago

The length of a picture is 15.75 inches shorter than twice the width. If the perimeter of the picture is 106.5 inches, find its

Vladimir79 [104]

Answer:

Length = 45.37 in

Width = 30.56 in

Step-by-step explanation:

Let the width of the picture be 'w' inches.

Given:

Perimeter of the picture is, $P=106.5\ in$

Length is 15.75 inches shorter than twice the width. So, length is:

$l=2w-15.75$

Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:

$P=2l+2w$