Why is the completely factored form X^4+8x^2-9

Answers

Answer 1
Greetings!

This is still factor-able:
[tex]x^4+8x^2-9[/tex]
[tex]x^4+9x^2-x^2-9[/tex]
Factor by grouping.
[tex]x^2(x^2+9)-1(x^2+9)[/tex]
[tex](x^2+9)(x^2-1)[/tex]
Factor by difference in squares.
[tex](x^2+9)(x-1)(x+1)[/tex]

Hope this helps.
-Benjamin

Related Questions

What percent of 52 is 12? Round your answer to the nearest tenth.

Answers

When you try to find the percentage in these questions, you can set up an equation. the equation would be 52x=12. In this situation, x will be the percent that you are looking for. From here you can divide 12/52 to find out what percentage it is. I got approximately 23% or 0.23 as your answer.

The percent of 52 which result in 12 would be 23%.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We need to find the percent of 52 which result in 12.

Let the unknown number is represneted by b.

It can be written as;

52% x b = 12

52/100 x b = 12

0.52 x b = 12

b = 12/0.52

b = 23%

Therefore, the percent of 52 which result in 12 would be 23%.

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What is an angle that is congruent to bgd?

Answers

EGA is congruent  (are across from each other)
Eag is the congruent

How old are you if you were born in 1995 and its 2017?

Answers

Born year is 1995.
Present year is 2017.
Difference between present year and born year is = 2017 - 1995
                                                                                      = 22 years.
So my present age is = 22 year.

Answer:

22 years

Step-by-step explanation:

if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes? need help

Answers

2/3 = 8/12
1/4 = 3/12
hence fraction of girls with neither blue or black eyes = 1 - 8/12 -3/12 = 1/12

The fraction of the girls in class have neither blue or brown eye is  1 /12.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We have been given that if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes.

We are asked the fraction of the girls in class have neither blue or brown eyes.

Thus, we get;

1 - ( 2/3 + 1 /4 )

= 1 - ( 8 / 12 + 3 / 12 )

= 1 - 11 / 12

= 12 / 12 - 11 /12

= 1 /12

Therefore,

the fraction of the girls in class have neither blue or brown eye is  1 /12.

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Write the equation of the line that is perpendicular to 5x+8y=16 and passes through (-5,7).

Answers

In order to do this problem, we should first put the equation in slope-intercept form, and then consider the relationship between the slopes of perpendicular lines. 
Slope Intercept form (y=mx + b), m=slope, b=y-intercept
5x + 8y = 16         Subtract 5x from both sides
8y=-5x + 16          Divide both sides by 8
y= (-5/8)x  + 2

This is our line in slope-intercept form. What will the slope be of a line that is perpendicular to this one? It will be the opposite inverse of the slope of our equation. The opposite inverse means flipping the numerator and denominator, and multiplying by negative one.
Our slope = -5/8, so the opposite inverse is 8/5.

The slope of our perpendicular line will be 8/5
In slope intercept form, our line will be 
y=(8/5)x + b
We know it passes through the point (-5,7), so we can plug in -5 for x and 7 for y in order to find b:
7 = (8/5) * -5 + b
7 = 8 *-1 + b        Add 8 to both sides
15 = b
Plugging in b, we can get our general function in slope-intercept form:

y= (8/5)x + 15

what is angle 1 and 2 to each other and how can you tell

Answers

Angles 1 and 2 are adjacent angles. You can tell because adjacent means right next to each other, which they are. If they were a linear pair, they'd have to be adjacent to eachother on a line.

2.8y + 6 + 0.2y = 5y -15

Answers

simplify 2.8y + 6 + 0.2y to 3y + 6

subtract 3y from both sides

simplify 5y - 15 - 3y to 2y - 15

add 15 to both sides

simplify 6 + 15 to 21

divide both sides by 2

switch sides

Answer: y = 21/2

*in decimal form this would be 10.5

a parking lot can hold cars and small trucks. the scatter plot shows how many cars and trucks parked at the parking lot each day for a week. What is the daily average number of trucks at the lot that week? round to the bearest tenth if neccessary.

Answers

the answer to your question that is above is 3.3

Answer:

Daily average number of trucks at the lot that week are 3.3

Step-by-step explanation:

Given a parking lot which can hold cars and small trucks. The scatter plot show parking lot each day for a week in the given graph. We have to find the daily average number of trucks at the lot that week.

In order to find the daily average we have to add the no. of trucks park daily in a week the take the average dividing by 7.

No. of trucks park in a parking lot day-by-day in week are

2, 3, 3, 4, 6, 2, 3

We take the average as  

[tex]\frac{2+3+3+4+6+2+3}{7}=\frac{23}{7}=3.28\sim3.3[/tex]

Hence, daily average number of trucks at the lot that week are 3.3

Find the opposite and reciprocal of -1.8.

Answers

oposite of -1.8 is 1.8
the reciprocal of -1.8 is [tex]\frac{1}{-1.8}[/tex] or [tex]\frac{-1}{1.8}[/tex]

the oposite reciprocal would be [tex]\frac{1}{1.8}[/tex]

In a bag of candy, for every 13 chocolate pieces there are 6 vanilla pieces. What is the ratio of chocolate to vanilla?

Answers

It would be a ratio of 13:6

Answer:

13:6

Step-by-step explanation:

I took the same quiz.

What is the maximum value for a 64-bit number?

Answers

Signed: From â’9,223,372,036,854,775,808 to 9,223,372,036,854,775,807, from â’(263) to 263 â’ 1 Unsigned: From 0 to 18,446,744,073,709,551,615, which equals 264 â’ 1

Add 5/12 + 69/10 enter you answer below as a fraction in lowest terms using the slash ( / ) as the fraction bar

Answers

5/12 + 69/10....LCD = 60
25/60 + 414/60 =
439/60 <== and this will not reduce

In 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in meters per minute. Complete the table to find Mr. Castelli's average driving speed in meters per minute by using the units as a guide. [Note: 1 mile is approximately equal to 1.62 kilometers] miles per hourkilometers per hourmeters per hourmeters per minute

Answers

Okay. So we'll start off by talking about miles per hour. Me. Castelli drove 125 miles in 2.5 hours. Divide 125 and 2.5 hours and you see that he drove 50 miles (81 kilometers) in one hour. 1,000 meters are in 1 meter, and 1,000 * 81 = 81,000. So he drives 81,000 meters in 1 hour. To find meters per minute, you divide 81,000 by 60, and you'll get 1,350 meters per minute. Here it is written for you to understand it better:
Miles per hour: 50
Kilometers per hour: 81
Meters per hour: 81,000
Meters per minute: 1,350

what is another name for BD

Answers

Another name for BD is DB

Answer:

BD = DB

Step-by-step explanation:

Great question, it is always good to ask questions to get rid of any doubts that you may be having,

Assuming I am understanding the question correctly and assuming that we are talking about line segment. Line segments can be spelled or represented in any direction backwards or forwards. In this case we are talking about a line segment called BD therefore it can also be referred to as DB.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Number 1. Based on the marks, what can you assume to be true in each figure?

Answers

These marks are used in geometry to symbolize congruence. If two sides or two angles are congruent, they are assigned with the same symbol.

A. Side AD is congruent to Side  CB
B. Side HE is congruent to side HG. Side EF is congruent to Side GF.
C. The base angles are congruent. 
D. Side QF is congruent to Side MN, and Side QM is congruent to Side PN. The shape is a rectangle.
D. Side QF is congruent to side PN. The shape is a rectangle

Add. Write your answer in simplest form. 3/5 + 5/8

Answers

3/5 + 5/8 = ?

Since they both have different denominators (bottom numbers), then we must find the GCD (greatest common denominator).

What can be divided into 5 AND 8? 40!

How many times can 40 be divided into 5? 8 times!

How many times can 40 be divided into 8? 5 times!

So, you take that number and multiply it by the numerator (top number) and you get your new yet equivalent fraction.

3/5 turns into 24/40 & 5/8 turns into 25/40

So, our new question looks like this :

24/40 + 25/40

Since both of these fractions have the same denominator (bottom number), you can simply add the top numbers together! :)

24 + 25 = 49

So, our answer to 3/5 + 5/8 = 49/40

Turn this into a mixed number.

49/40 = 1 9/40

So, your FINAL ANSWER is 1 9/40

~Hope I helped!~

Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42

Answers

The sun rises in the east is true, 3x+4=17 could be true because x could be an infinite number of possibilities, and 7x6 does equal 42
So basically what it is saying is that you need to select the follow that are "true"?????

The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 5x plus 20 degrees, and the other angle measures 50 degrees. 4 6 14 22

Answers

5x + 20 + 50 = 180
5x + 70 = 180
5x = 180 - 70
5x = 110
x = 110/5
x = 22 <===

The measure of the value 'x' for the supplementary angles will be 22. The correct option is D.

What are supplementary angles?

If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees).

In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.

The measure of the value x will be calculated as:-

5x + 20 + 50 = 180

5x + 70 = 180

5x = 180 - 70

5x = 110

x = 110/5

x = 22

Hence, the value of x will be 22.

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What is the measure of angle WZX?

Answers

I hate Time4Learning. I took that back in middle school.

Here's how these expressions work together. First, you need to remember WZY is a right angle (90 degrees). Now, keep that in mind when we add both equation.

3c + 2c + 2 - 7 = 90

5c - 5 = 90

5c - 5 + 5 = 90 + 5

5c = 95

5c/5 = 95/5

c = 19. Now, put 19 in the place of c and solve.

3(19) + 2 = 57 + 2 =

59 degrees.

The measurement of angle WZX is equal to 59 degrees, B.

Approximately how far is it from new york city to london? 500 miles 1,000 miles 3,000 miles 10,000 miles

Answers

New York City is around 3,000 miles away from London

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.
a.
financing
b.
managing income
c.
managing liquidity
d.
protecting assets

Answers

I think the answer would be d because you are trying to protect your home from getting struck by lightning.

Answer:  Option 'D' is correct.

Step-by-step explanation:

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for preventing assets.

As we know that due to lightning, fire can be caught into the house and house can be burnt along with so many assets.

Hence, it is a plan for protecting assets .

Therefore, Option 'D' is correct.

.help me please thanks

Answers

the answer is -3 
hope it helps
f(x) = -3x + 2.......f(5/3)...means sub in 5/3 for x

f(5/3) = -3(5/3) + 2
f(5/3) = -15/3 + 2
f(5/3) = -5 + 2
f(5/3) = -3 <==

If a function f(x) is the temperature in degrees as a function of time in minutes. then the function f'(x) is

Answers

f'(x)  is the instantaneous change of temperature at  a specific time in minutes.

In the context of a function representing temperature over time, the derivative f'(x) indicates the rate of change of the temperature with respect to time.

If a function f(x) represents the temperature in degrees as a function of time in minutes, the function f'(x) represents the rate of change of temperature with respect to time. This implies that if you have the temperature reading from a thermometer at different times, f'(x) tells you how quickly the temperature is rising or falling at any given moment. The concept of the derivative as the rate of change applies to many types of functions beyond just temperature over time.

Write a function rule for that table.

Answers

The answer is f(x) = 2x. If we multiply the numbers in the left column by 2, we get the numbers in the right column.

Hope this helps!

if my grade in math is a 51.32% and I get at least a 70% on my test. What percentage will my grade go up too? ( test are worth 45% )

Answers

keeping in mind that 70% of anything is 70/100 * anything, thus

[tex]\bf \begin{array}{ccll} \stackrel{percentage}{points}&\stackrel{test}{completed}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 45&1\\\\ x&\frac{70}{100} \end{array}\implies \cfrac{45}{x}=\cfrac{1}{\frac{70}{100}}\implies \cfrac{45}{x}=\cfrac{\frac{1}{1}}{\frac{7}{10}} \\\\\\ \cfrac{45}{x}=\cfrac{1}{1}\cdot \cfrac{10}{7}\implies \cfrac{45}{x}=\cfrac{10}{7}\implies \cfrac{45}{x}=\cfrac{10}{7}\implies \cfrac{45\cdot 7}{10}=x \\\\\\ \cfrac{63}{2}=x\implies \boxed{31.5=x}[/tex]

so, you get that many percentage points, now... add that to 51.32.

3+10+4-6
I am stuck help on this algebra expression

Answers

Just do PEMDAS
[tex]Parentheses \\ Exponents \\ Multiplication \\ Division \\ Addition \\ Subtraction [/tex]

We're doing: [tex]addition [/tex] and [tex]subtraction [/tex] in this [tex]problem [/tex]

So,   [tex]3 + 10 + 4 -6 \\ 3 + 10 = 13,right ? \\ Now, 13 + 4 - 6 \\ Next, 4 - 6 = -2\\ Next, 13 + (-2) = 11,right ? \\Answer: 11 [/tex]

good luck on your assignment and enjoy your day!

                             ~[tex]MeIsKaitlyn:)[/tex]

Community gym charges a $50 membership fee and a $55 monthly fee. Workout gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answers

The correct answer is 15 months. If you take the base fee of $50 than add $55 multiplied by 15 you will get $825 add the $50 it equals $875 for the second part your base fee is $200 multiply $45 by 15 which is the month and you get $675 add the $200 base fee and it is $875. The answer to your question is 15 months. Hope I helped
15 months; the amount will be $875. My work is shown in the attached pictures.

What is the expression in radical form? Enter your answer, in simplest form, in the box.

Answers

The answer is 

hope it helps


The expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]

Expressing the given expression in radical form means we need to introduce root into the expression:

According to the law of indices;

[tex](a^m)^n=a^{mn}\\a^\frac{m}{n}=\sqrt[n]{m}[/tex]

Given the indicinal expression:

[tex]=(7x^3y^2)^\frac{2}{7}\\ =(\sqrt[7]{7x^3y^2}) ^2[/tex]

Hence the expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]

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Numbers 1-30 are written on cards and placed in a bag. One card is drawn. Find each probability.

a. drawing an even number or a 1.

b. drawing an even number or a multiple of 7.

Answers

Answer:

A. [tex]\frac{8}{15}[/tex]    There are 15 even number and then there is 1 so 16 possibilities in total.

B. [tex]\frac{19}{30}[/tex]    There are 15 even numbers and there are 4 multiples of 7 so 19 in total.

The question requires calculating the probability of drawing an even number or a 1, and an even number or a multiple of 7 from cards numbered 1 to 30. For the first case, the probability is 16/30 and for the second case, it's 17/30, considering mutually exclusive events and counting each outcome only once.

The question involves calculating the probability of drawing specific cards from a set of numbered cards. To find the probability of a particular outcome, we divide the number of ways that outcome can occur by the total number of possible outcomes.
Probability of drawing an even number or a 1

In the set of numbers 1-30, there are 15 even numbers (2, 4, 6, ..., 30) and one number 1. Since the events 'drawing an even number' and 'drawing a 1' are mutually exclusive, we add the probabilities. There are 16 favorable outcomes (15 even numbers + 1), out of a total of 30 possible outcomes.

Probability = Number of favorable outcomes / Total number of outcomes
= 16/30

Probability of drawing an even number or a multiple of 7

Again, from numbers 1-30, we have 15 even numbers. The multiples of 7 up to 30 are 7, 14, 21, and 28. Of these, 14 and 28 are also even numbers and have already been counted. Therefore, we have 2 additional unique multiples of 7 (7 and 21) to consider. Thus, there are 17 favorable outcomes (15 even numbers + 2 unique multiples of 7).

Probability = 17/30

To pay for Sophia Maddie Paid a payment of $64 each month for one year how much did the sofa cost

Answers

The answer is:  " $ 768 " .
______________________________________
  12 months = 1 year.

$64 / mo. * (12 mo.) = $ (64 * 12) = $ 768 .
______________________________________
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