1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka [77]
2 years ago
6

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

Mathematics
1 answer:
Stolb23 [73]2 years ago
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)
You might be interested in
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
Read 2 more answers
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)

<u>case A)</u> 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

<u>case B)</u> 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

<u>case C)</u> 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

<u>case D)</u> 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

<u>the answer is</u>

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

6 0
3 years ago
Read 2 more answers
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:

<u>Make denominators common to see the difference in fractions:</u>

  • 1/4 = 7/28
  • 3/7 = 12/28

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

<u>Together they washed:</u>

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

<u>Remaining part is:</u>

  • 1 - 19/28 =
  • 28/28 - 19/28 =
  • 9/28 of the laundry
7 0
3 years ago
Read 2 more answers
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.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the equation for a. K = 4a + 9ab a = K(4 + 9b) a = 4(K + 9b) a = a =
    10·3 answers
  • a hardware store paid $87.50 for a lawn mower and then sold it for $159.95 what was the gross profit​
    6·1 answer
  • Factorize using identities (i) 1-64x³+48x²-12x
    9·1 answer
  • WILL GIVE A BRAINLIEST IF UR CORRECT!! PLEASE HELP!!
    8·1 answer
  • Plzzz help!!!! DUE TODAY!!!!! IM DESPERATE!!! WILL GIVE BRAINLIEST!!!!!! Use the values x=−0.5, 0, 1 to prove your solution to t
    13·1 answer
  • What effect will a translation 3 units down and 2 units left have on the polygon?
    5·1 answer
  • Math<br><br><br><br> Will<br><br><br><br> Give Brainlist
    11·1 answer
  • The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday it gained 96 points. What
    12·1 answer
  • What is the volume of a sphere of 13cm? using 3.14​
    14·1 answer
  • Evaluate the expression for the given value of x.<br>4x+9 for x =9​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!