Factor completely 5x4 − 80.


5(x2 − 4)(x2 + 4)

5(x − 2)(x + 2)(x + 2)(x + 2)

5(x − 2)(x + 2)(x2 − 4)

5(x − 2)(x + 2)(x2 + 4)

Answers

Answer 1

Answer:

[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Step-by-step explanation:

The expression given is:

[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]

Difference of two squares:

[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Answer 2

The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.

Given :

[tex]f(x) = 5x^4-80[/tex]

The following steps can be used in order to determine the factors of the given function:

Step 1 - Write the given function.

[tex]f(x) = 5x^4-80[/tex]

Step 2 - Take out 5 as common in the above function.

[tex]f(x) = 5(x^4-16)[/tex]

Step 3 - Now, try to factorize the above function.

[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]

From the above steps, it can be concluded that the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/6810544


Related Questions

Which is the graph of the linear equation 3x + 2y = 6?

Answers

The answer is B. If you write down the values of X and Y you’ll find out that the right answer is B.

Answer:

its the middle one

Step-by-step explanation:

if y was 0

3x+2(0)=6

3x=6-0

x=2

if x was 0

3(0)+2y=6

2y=6

y=3

please help I dont get it
20 points

Answers

Answer:

10

Step-by-step explanation:

P(getting blue marbles) = 7/9

so;

x/45 = 7/9

x = 35

so the number of blue marbles is 35

45 - 35 = 10 red marbles

hope it helps .

all the best

Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN

Answers

Answer:

MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]

From the formula of the distance between two points,

[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]

Similarly, OP

[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]

Therefore, OP

[tex]= \frac{1}{2}(MN)[/tex]

and MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequence? What would be the first and last numbers be? (6, 14, 30, 62, 126)

Answers

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

Please help with this question

Answers

Answer:

for x=i

Step-by-step explanation:

For

1+x²=0 => x²= -1 => x=√-1 => x= i

the given equation is not true

4) Members of the school band are buying bouquets of flowers to sell at the fundraiser.
They plan on buying 120 bouquets of flowers. The ratio of the number of bouquets of roses to the number of bouquets of sunflowers will be 5/3. How many bouquets of flowers did they buy?
Bouquet of Roses?
Bouquet of Sunflowers?

Answers

Answer: Roses= 75, Sunflowers= 45

Step-by-step explanation:

Add the ratios- 5 + 3 = 8

Divide the total by the sum = 120 ÷ 8 = 15

Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45

∴ 5:3 = 75 , 45

The functions f(x) and g(x) are shown on the graph.
Ax) = 1x
What is g(x)?
10
f(x) = x1
g(x) = ?
10
10
-5
A. g(x) = [x - 51
O B. g(x):= [X1 - 5
O.C. g(x) = 1x1 + 5
D. g(x) = (x + 51

Answers

Answer: i thini its 2

Step-by-step explanation:

The function g(x) is:

g(x) = Ix - 5I.

Therefore, the option A in the given question is correct.

What is transformation on the graphs?

When a function is transformed, the graph's curve either "moves to the left, right, up, or down," "expands or compresses," "reflects," or all three.

The function is made possible by the fundamental function f(x) and the constant

g(x) = f(x - k),

horizontally moving, the f(x) k unit coordinates may be drawn.

The shift's direction depends on the value of k. Specifically,

If k > 0, the basis graph shifts right by k units.

If k < 0, the base graph shifts k units to the left.

Given that the parent function is f(x) = IxI.

From the definition,

the transformed function is moved horizontally to 5 units to the right.

So, the function is g(x) = Ix - 5I.

Therefore, g(x) = Ix - 5I.

Learn more about the transformation on the graphs here:

brainly.com/question/19040905

#SPJ7

Your question is incomplete; most probably, your complete question is this:

For f (x) = 2x+1 and g(x) = x+14, find (fog)(x).
A. 2x+29
B. 2x2 - 6
C. 4x2 + 4x -6
D. 2x3 + x2 -14x -7

Answers

Answer:

(fog)(x)=2x+29 (A)

Step-by-step explanation:

You put g(x) into f(x) for x and solve.

(Fog) (x) =2x+29 (A)

enter the mean of the data 9,5,7,7,12

Answers

i believe it is 7 or 7
sorry I just needed more words to send the message
The Mean Of The Data Is 8

[tex]If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?[/tex]

Answers

Answer:

my boi

Step-by-step explanation:

Which is the best first step and explanation for solving this system of equations?
3x + 4y = 12
3x = 2y - 8
CE
IC
3x + 4y + 3x = 12 + 2y - 8
Add the two equations to one another.
3x + 4y - (3x) = 12 - (2y - 8)
Subtract the second equation
from the first equation
9x + 12y = 36
3x + 4y - 8 = 12 - 8
Multiply both sides of
the first equation by 3.
Subtract an equal amount from
both sides of the first equation


Answers only please

Answers

Answer:

Subtract the second equation

from the first equation

Hope this helps.

A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown: A line graph with Number of Months on the x axis and Number of Users, in thousands, on the y axis. The x axis has a scale from 0 to 36 with an increment of 4. The y axis has a scale of 0 to 60 with increments of 6. A straight line connecting 0, 0 and approximately 36, 54 is drawn. What can be interpreted from the range of this graph? The range represents the 54-month time period of the study. The range represents the 36-month time period of the study. The range represents the number of users each month for 36 months. The range represents the number of users each month for 54 months.PLEASE HELP IT URGENT

Answers

Answer:

The correct option is C.

C) The range represents the number of users each month for 36 months

Step-by-step explanation:

We have been given that:

x-axis ⇒ Number of Months

y-axis ⇒ Number of Users

x-axis values = 0 to 36

y-axis values = 0 to 60

We have a function which is represented by a straight line from (0,0) to (36,54).

We have to find the RANGE of the function.

Range of a function is a complete set of values of dependent variable y, for all possible values of independent variable x

As total number of months = 36

Range is the set of all values of y (Number of Users) for each month for a period of 36 months.

Hence, the correct option is C.

Answer:

c

Step-by-step explanation:

Use the method of substitution to solve the system of equations. please show your work! y=534x y=74.80x+1,419 Thank you so much! If you could also solve it graphically that would be best but if not thats okay!

Answers

Answer:

( 3, 1650 ), Where x = 3, and y = 1650 -

Approximately

Step-by-step explanation:

Take a look at the procedure below;

[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]

We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.

* I apologize for not including a graph *

I will give brainliest answer

Answers

Answer:

theres google for this

Step-by-step explanation:

37.5

Answer:

I think it should be A=37.5 I'm not so sure,hope this helps tho!

Step-by-step explanation:

help please on this 2 questions

Answers

Answer:

Well first, the image is probably a line, because you can't reflect a point on 2d shape horizontally or vertically across one point. That just wouldn't work. So given that the shape is just a line, reflecting horizontally and vertically would not change how the shape looks.

Answer:

1. true

2. false

Step-by-step explanation:

i think :)

Please complete the attached proof. Thanks.

Answers

Answer:

       

Step-by-step explanation:

Compute $121_3+2122_3-1200_3-2111_3$. Express your answer in base 3.

Answers

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

Please help me thx uuu

Answers

Answer:

A =10 ft^2

Step-by-step explanation:

We need to find the area of the piece

A = l*w

A = 2/5 * 25

A = 2 * 25/5

A =2 * 5

A =10 ft^2

Answer:

area = 10

Step-by-step explanation:

2/5 x 25= 10

Do 5 A,B for 10 points.

Answers

Answer:

X = C - By over A which also is A ≠ 0

Y = C - Ax over B which is also B ≠ 0

Step-by-step explanation:

Solve for x

First subtract "By" from both sides:

Ax + By - By = C - By

Then simplify,

Ax = C - By

Divide both sides by A:

Ax / A = C/A - By/A ; A≠0

Then simplify:

X = C - By over A ; A ≠ 0.

-------------------------------------

Solve for y

First subtract "Ax" from both sides:

Ax - By - Ax = C - Ax

Simplify,

By - C = Ax

Then divide both sides by B:

By/B = C/B - Ax/B ; B ≠ 0

Simplify:

Y = C-Ax / B ; B ≠ 0.

Hope this helps have a good day! :)

( This symbol '/' means a dash like a fraction btw same with the word over.)

Brainliest would be appreciated?

100 POINTS BRANLIEST

Answers

Answer:

1/3 < a/b < 3/5

Step-by-step explanation:

To find  the smallest value for a/b, take the smallest a and the largest b

2/6 = 1/3

To find  the largest  value for a/b, take the largest a and the smallest b

3/5

1/3 < a/b < 3/5

Answer:

1/3 < a/b < 3.5.

Step-by-step explanation:

Smallest value for a/b = 2/6 = 1/3.

Largest value for a/b = 3/5.

What is 146 to the nearest square foot

Answers

Answer:

1.0138

Step-by-step explanation:

This conversion of 146 square inches to square feet has been calculated by multiplying 146 square inches by 0.0069 and the result is 1.0138 square feet.

Which represents continuous data? A) The number of times you flip a coin B) The number of students in a classroom C) The number of chocolate candies in a box D) The price of fish per pound

Answers

Answer:

D) The price of fish per pound

Step-by-step explanation:

A continuous data is one which can take any value . it can have even value between any two consecutive number.

Example :

continuous data can have value between 4 and 5 like 4.5 4.001 and so on.

Discrete data is one which can be counted such as number of flowers, no of cars in parking.

it can take value such as 1,2, 12, 66  etc.

____________________________________________

Let go through the option

A) The number of times you flip a coin

We can count the number of times a coin is flipped .

Like 2 times, 3 times and hence it is discrete data and not a continuous one.

B) The number of students in a classroom

Student in a classroom can also be counted.

in a class there can be 12, 50, 66 etc students not 12.1 , 50.5 etc.

hence it is discrete data and not a continuous one.

C) The number of chocolate candies in a box

Again, chocolate number can be counted .

Number of chocolate can be 2, 4, 5 and not 2.1 , 4.6 etc and

hence it is discrete data and not a continuous one.

D>The price of fish per pound

Price of fist cannot be counted . Further, price of fish can be $2.5 , $ 4.555

hence it is a continuous data.

Based on above discussion

continuous data is represented by The price of fish per pound

Phone company A conducted a study that showed 97% customer satisfaction, with a standard deviation of 1%. The sample included 25 people who appear in one of their commercials during the past three years


phone company B conducted a study to show 94% customer satisfaction with a standard deviation of 4% a random sample consisting of 100 customers

which of the company claims is more believable and why? 

A.Phone Company A because the time span was longer

B. Phone company B bc the sample was not biased

C. Company A bc the standard deviation is smaller

D.Company B because the standard deviation is larger

Answers

Answer:

B. Phone company B because the sample was not biased.

Step-by-step explanation:

While Phone company A had a higher satisfaction rate, 25 people that conducted this poll were in at least 1 commerical of the phone company's in the past 3 years. This means that their reflection of the company is biased (typically higher) and not completely based off of their performance but instead how cool it was to be in a commerical or how much they were paid. If the poll was a more random sample of just customers, it would be more believable data. On the other hand, while phone company B had a lower satisfaction rate and higher deviation, their statistics are more believable due to the random sampling of customers.  

Answer:

B

Step-by-step explanation:

n is an integer and -2 Write down the possible values of n,
from smallest to largest.

Answers

Answer:

Step-by-step explanation:

-2 < n+3 ≤ 4

Make two separate equations,

-2 < n+3

Subtract 3 from both sides,

-2-3 < n + 3  -3

-5 < n

So, value of n should be greater than (-5)

n +3 ≤ 4

Subtract 3 from both sides

n ≤ 1

So, n value should be less than or equal to 1

So, n value should be greater than -5 and less than or equal to 1

n= { -4, -3 , -2 , -1 ,0 ,1 }

In 1867, the United States purchased the Alaska territory from Russia for $7.2 x 10^6. The total area was about 6 x 10^5 sq miles. What was the price per square mile?

Answers

Answer:

the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m

Step-by-step explanation:

the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m

Help and hurry please

Answers

Answer:

D.

Step-by-step explanation:

First try to eliminate answers.

You have to work between 30 and 40 hours to get 1565.

It's not A or B.

Now, you can see that the choices are 31, and 35

1565 is only 15 more than 1550.

It's 31.

Look at the diagram.
Which angle is supplementary to

Answers

can u maybe write the full question?

SOMEONE PLEASE HELP ASAP! Normal distribution models what type of variable? A.discrete random variable B.random variable C.discrete continuous variable D.random continuous variable

Answers

Answer: D. random continuous variable

A normal distribution has its center at the mean and its spread is determined by the standard deviation. For the standard normal distribution, its mean is 0 and standard deviation is 1. It is in the shape of a bell curve. Most of the values fall in or around 0, forming the peak around this area. As you move away from 0, the values are less frequent which explains the drop-off. The distribution is continuous as you can have any real number (decimal or whole). It's also random because of the nature of statistics.

If AB = CA and m1 = 45°, what is m3?

A.
47°
B.
45°
C.
43°
D.
90°

Answers

Answer:

B 45 degrees

Step-by-step explanation:

if AB and CA are = the M2 = 90 degrees

in an right triangle ware one angle is 90 degrees and one is 45 degrees the outer one will be 45 degrees  

the total of the angles in a triangle is 180 degrees so 180 - 90 = 90

90 - 45 = 45

so the remaining angle is 45.

the L-shaped room shown is to be carpeted with carpet that costs $3.89 per square foot. What will be the cost of the carpet?

Answers

Answer:

depends on the sized of the room-send picture so I can help

Step-by-step explanation:

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