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2 years ago

Factor the expression completely over the complex numbers. y4 +16y2 + 64

1 answer:

8 0

1) Y x 4 + 32y + 64
2) factor out 4 from the expression so, 4(y+8y+16)
3) collect the like terms so, 4(9y+16)

Answer: 4(9y+16)

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You have 125% of the tickets required for a souvenir what fraction of the required tickets do you have do you have do you need m

drek231 [11]

You have 5/4 of the required tickets

3 0

3 years ago

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Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x + 2) f(x) = (x – 2)(x + 2) f(x) = (x + 1)(x – 2)

strojnjashka [21]

we know that

If the vertex is on the y-axis, then the x-coordinate of the vertex is equal to zero

we are going to verify the vertex of each one of the functions to determine the solution

Remember that

The equation in vertex form of a vertical parabola is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

if $a>0$ -------> the parabola open upward (vertex is a minimum)

if $a$ -------> the parabola open downward (vertex is a maximun)

case A) $f(x)=(x-2)^{2}$

This is a vertical parabola open upward

the vertex is the point $(2,0)$

therefore

The function $f(x)=(x-2)^{2}$ does not have a vertex on the y-axis

case B) $f(x)=x(x+2)$

$f(x)=x(x+2)=x^{2}+2x$

convert to vertex form

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)+1=x^{2}+2x+1$

Rewrite as perfect squares

$f(x)+1=(x+1)^{2}$

$f(x)=(x+1)^{2}-1$

the vertex is the point $(-1,-1)$

therefore

The function $f(x)=x(x+2)$ does not have a vertex on the y-axis

case C) $f(x)=(x-2)(x+2)$

$f(x)=(x-2)(x+2)=x^{2}-2^{2}$

$f(x)=x^{2}-4$

the vertex is the point $(0,-4)$

The x-coordinate of the vertex is equal to zero

therefore

The function $f(x)=(x-2)(x+2)$ has a vertex on the y-axis

case D) $f(x)=(x+1)(x-2)$

$f(x)=(x+1)(x-2)\\ \\f(x)= x^{2}-2x+x-2 \\ \\f(x)= x^{2} -x-2$

convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+2= x^{2} -x$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)+2+0.25= x^{2} -x+0.25$

$f(x)+2.25= x^{2} -x+0.25$

Rewrite as perfect squares

$f(x)+2.25= (x-0.50)^{2}$

$f(x)=(x-0.50)^{2}-2.25$

the vertex is the point $(0.5,-2.25)$

therefore

The function $f(x)=(x+1)(x-2)$ does not have a vertex on the y-axis

the answer is

$f(x)=(x-2)(x+2)$

6 0

3 years ago

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Ms. Potts washed 1/4 of her laundry. Her son washed 3/7 of it. Who washed most of the laundry? How much of the laundry still nee

LenaWriter [7]

Answer:

Son washed more
Remaining 9/28 of the laundry

Step-by-step explanation:

Make denominators common to see the difference in fractions:

1/4 = 7/28
3/7 = 12/28

Son washed more laundry as 12/28 > 7/28

Together they washed:

7/28 + 12/28 = 19/28 of the laundry

Remaining part is:

1 - 19/28 =
28/28 - 19/28 =
9/28 of the laundry

7 0

3 years ago

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How many solutions does the equation 3n + 5 (n-4) = 9n -5 have

Tju [1.3M]

$3n + 5(n - 4) = 9n - 5 \\ \\ 3n + 5n - 20 = 9n - 5 \\ \\ 8n - 20 = 9n - 5 \\ \\ 8n - 9n = - 5 + 20 \\ \\ - n = 15 \\ \\ n = - 15$

<h3>Hope This Helps</h3>

8 0

2 years ago

Simplify. (-1/2√2)(-6√18) 18 -18 -36

olga_2 [115]

Hey!

Your answer is solved below/above idk wherever just see in the picture.

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2 years ago

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