how to factor this expression

x^3 - 4x^2 + 4x - 16

Answers

Answer 1
x²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)

Related Questions

find the 7th term of 4,5,6.25

Answers

Answer:

same i dont know just need points but good luck

please help, I really don't get this​

Answers

Answer:

-8, -8

Step-by-step explanation:

If you add the equations, you get -7x + 4x + 4y - 4y = 24. Canceling out the 4y and the -4y, and adding 4x to -7x, you get -3x = 24. Divide both sides by -3 and you get x = -8. Next, pick an equation and substitute x for -8. I am going to use the first equation. (-7)-8 + 4y = 24 is equal to 56 + 4y = 24. Subtract 56 from both sides to get 4y is equal to -32, and if you divide both sides by 4, you get y = -8.

9514 1404 393

Answer:

  (-8, -8)

Step-by-step explanation:

We notice that the coefficients of y are +4 and -4, so have a sum of zero. This means we can add the two equations to eliminate the y-terms.

  (-7x +4y) +(4x -4y) = (24) +(0)

  -3x = 24 . . . . . . . . . simplify

  x = -8 . . . . . . . . . . . divide both sides by -3

Now, we can find y using either equation.

  4(-8) -4y = 0

  -8 -y = 0 . . . . . . . . divide both sides by 4

  -8 = y . . . . . . . . . . add y to both sides

The solution to the system of equations is ...

  (x, y) = (-8, -8)

Which quotient is reasonable? Do not perform the division. 7315 ÷ 12 A. 6 R 9 B. 60 R 9 C. 609 D. 6,009

Answers

Answer:

C. 609

Step-by-step explanation:

In the question, 4-digits number were given to be divided by a 2-digits number. Without performing the division, it is only reasonable to say that the quotient will be a 3-digits number.

In the given options, the only 3-digits number is 609

Also, you can multiply 609 by 12 to check how reasonable your guess is.

⇒ 609 x 12 = 7308

The difference between 7315 and 7308 is 7.

The remaining number (7) is not up to 12 and when 7 is divided by 12 it will not give a whole number digit.

Therefore, the only reasonable quotient in the given options is 609.

Please help! image below

Answers

Answer:

28 units

hope this helps have an amazing day

WILL MARK BRAINLIEST PLS DO MY MATH DUE: 1 HOUR

Answers

1. a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25

I also post a picture on how I got each answer.

Hope this helped you out

Answer:

a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25

Step-by-step explanation:

identify error GIVEN, bracelets - php200 necklaces php300 sales at least 3600 sells at most 50 pieces of bracelets and necklaces correct the errors​

Answers

hggggvv 666666666 hhggg 66

Which expression is equivalent to
(fg) (5)?
F(5)* g(5)
F(5)+g(5)
5f(5)
5g(5)

Answers

Answer:

they F (5) g (5)

Step-by-step explanation:

(fg)=(f.g)

and then this is the first doing (fg)(X)= f(x) [g(x)]

x=5

f(5).g(X)

and they final result is

they top of answer

happy answering

The the composition of f and g denoted by the expression (fg)(5) is equivalent to f(g(5))

What is composition of functions?

The composition of two functions f and g is an operation where two functions f and g generates a new function h such that h(x)=f(g(x)).

First we find the value of g(x). If g(x)=y then f(g(x))=f(y).

The value of composition  (fg)(x) is equal to f(g(x)).

Thus the value of (fg)(5) is f(g(5)) .

If g(5)=c , some c.

Then (fg)(5)=f(g(5))=f(c)

Hence the value of the composition of f and g of 5 is f(g(5)).

To learn more about composition click here:

https://brainly.com/question/21510071

#SPJ7

if Seth used 4 ounces of black beans, how many beans did he use altogether?​

Answers

Answer: 4 Ounces.

Step-by-step Explanation: I don't know the full context of the problem, but if Seth used 4 ounces, that means that he used 4 ounces all together.

geometry: help me please!

Answers

Answer:

DF = 28 units

AC = 64 units

CF = 32 units

Step-by-step explanation:

In the given triangle ABC points D, E and F are the midpoints of the sides AB, BC and AC.

By midsegment theorem,

"Segment joining the midpoints of each side is parallel and measure the half of the opposite side"

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

     = [tex]\frac{56}{2}[/tex]

     = 28 units

AC = 2(DE)

     = 2 × 32

     = 64 units

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

     = [tex]\frac{64}{2}[/tex]

     = 32 units


Which is equivalent to b6/b2

Answers

Answer:

yuojsjsjskakavbhjsmsnnxjxj

What is the sum of 3/8 + 2/5

Answers

3/8 + 2/5 = 31/40

the fractions have unlike denominators. first, find the least common denominator and rewrite the fractions with the common denominator. multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. this is basically multiplying each fraction by 1. Once you complete the multiplication and the equation you should have 15/40 + 16/40. Since the denominators are alike all you have to do is add the numerators and you’ll have 31/40. hope I helped

Having trouble solving this:

Answers

Answer:

option b.

61/1000.

................

Answer:

B: 61/1000

Step-by-step explanation:

B: 61/1000 = 0.061

as a percent is 6.1%

Therefore B or 61/1000 is correct hope this helped!

Calculate for Area. 5 cm​

Answers

Answer:  25 cm

Step-by-step explanation:

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 15 miles, how much will her mother donate? plz help :D

Answers

Answer:

24 dollars

Step-by-step explanation:

Dado los puntos p1 (-7/2-9/2) y p2 (5/2, 3/2) calcular la representación gráfica, d p1 p2, pto medio de p1 p2, la pendiente (m) de la recta que pasa por medio de ellos. Porfavor ayúdenme la tarea es para el viernes y no entendió ​

Answers

Answer:

Ce clasă ești sa văd daca te pot ajuta

A circle with radius of 1 cm sits inside a 3 cm x 3 cm rectangle.
Y
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
What is the area of the shaded region?

Answers

Answer:

6.14

Step-by-step explanation:

Find area of shaded region:

regtangle area - circle area = shaded area

Regtangle area:

3x3=9

Circle area:

Pi (3.14) x radius x radius= 3.14

area all together if shaded region

9-3.14=6.14

Jackson has scores of 80, 90, 83, and 81 on four Math quizzes. What is the score he needs on the next quiz to achieve an average above 85?​

Answers

He would have to make at least 91.
91. Hope it’s correct.

Which statement is true about their work? Neither student solved for k correctly because K = 2 and StartFraction 1 over 8 EndFraction. Only Adler solved for k correctly because the inverse of addition is subtraction. Only Erika solved for k correctly because the opposite of One-half is Negative one-half. Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

Answers

Question:

Adler and Erika solved the same equation using the calculations below.

Adler’s Work

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]

[tex]\frac{9}{8}= k[/tex]

Erika’s Work

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]

[tex]\frac{9}{8}= k[/tex]

Which statement is true about their work?

Answer:

Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

Step-by-step explanation:

Given

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

Required

What is true about Adler and Erika's workings

Analyzing Adler's work;

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

Adler subtracted 1/2 from both sides

[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]

Solving the expression on the left-hand side

[tex]\frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]

Solving the expression on the right-hand side

[tex]k + \frac{1}{2} - \frac{1}{2} = k[/tex]

Hence:

[tex]\frac{9}{8}= k[/tex]

So, Adler's workings is correct

Analyzing Erika's work;

[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]

Erika added -1/2 to both sides

[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]

Solving the expression on the left-hand side

[tex]\frac{13}{8} + (-\frac{1}{2}) = \frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]

Solving the expression on the right-hand side

[tex]k + \frac{1}{2} + (-\frac{1}{2}) =k + \frac{1}{2} - \frac{1}{2} = k[/tex]

Hence:

[tex]\frac{9}{8}= k[/tex]

So, Erika's workings is correct

Both workings are correct

Answer: Both Adler and Erika are correct

Step-by-step explanation:

On Edge 2021






If the perimeter of the rectangle shown is 60 feet, we can use the equation 8x + 4 = 60 to find its dimensions. If the solution to this equation is x = 7, what are the dimensions of the rectangle?

Answers

Answer:

l= 28 feet

b = 2 feet

Step-by-step explanation:

The perimeter of a rectangle is given by;

P= 2(l + b)

Comparing this to the equation; 8x + 4 = 60, i can write;

2(4x + 2) = 60

This means that;

l = 4x

b = 2

but x =7

So;

l = 4* 7 = 28 feet

b = 2 feet

In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of five subjects are possible

Answers

Answer:

1,712,304 ways

Step-by-step explanation:

This problem bothers on combination

Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;

48C5 = 48!/(48-5)!5!

48C5 = 48!/43!5!

48C5 = 48×47×46×45×44×43!/43!5!

48C5 = 48×47×46×45×44/5!

48C5 = 205,476,480/120

48C5 = 1,712,304

Hence this can be done in 1,712,304ways

Expand and combine like terms.
(7b^5 – b^2)^2

Answers

i got 49b^10-14b^7+b^4

Ok so I need help with multiplying fractions, this is the way my teacher did it but I have no idea how to do it the way he did it so if someone can, please explain to me on how to do it

Answers

you just cross sinplify and then multiply the numerators by themselves and denominators by themselves and get your answer

example 1: this is basically reducing WHILE multiplying. since 5 and 10 have a greatest common factor and is able to be reduced by each other, we do so. hence the reason 5 went to 1 and 10 went to 2 because 5 goes into 5 once and 5 goes into 10 twice. it was a different case for 3 and 8. 3 obviously cant go into 8 and 3 is prime so nothing can be done with those. ONLY REDUCE WHILE MULTIPLYING DIAGONALLY you CANNOT do up and down or side to side. so our new fractions are [tex]\frac{3}{2}[/tex] and [tex]\frac{1}{8}[/tex] so multiply across and get [tex]\frac{3}{16}[/tex] which cant be reduced more.

example 2: this one in my opinion is pretty easy. you take the two fractions and multiply regularly across. you get [tex]\frac{27}{80}[/tex]. that fraction can be reduced. so we find the prime factorization of each number. 3 is a prime factor. 3x3x3=27 which is our top number. 2 and 5 are all prime numbers used to reach 80. 2x2x2x2x5=80. that's the prime factorization method its an easier way to check your work also.

example 3: this one is practically a combination of the two previous ones. [tex]\frac{16}{21}[/tex] and [tex]\frac{7}{8}[/tex] can be diagonally reduced on both diagonals. 7 goes into 7 once and 7 goes into 21 three times 8 goes into 8 once and 8 goes into 16 twice. now we have [tex]\frac{1}{1}[/tex] and [tex]\frac{2}{3}[/tex] multiply across and get just [tex]\frac{2}{3}[/tex]. prime factorization is the best way to do this but, more effective with larger numbers. [tex]\frac{2*2*2*2*7}{3*7*2*2*2}[/tex] now cross out the numbers that are the same on the top and bottom. three 2's cancel out, one 7 cancels out, and now we're left with [tex]\frac{2}{3}[/tex].

I really hope this helps you!!

Can someone help me please?

Answers

3/10=0.3=30%

725/1000=0.725=72.5%

4/10=0.4=40%

...what's
[tex] \sqrt{224} [/tex]

Answers

Answer:

it doesnt have any perfect root

Step-by-step explanation:

but in decimal it is 14.97......

Answer:

4√14

Step-by-step explanation:

√224 = √2^5 · 7

         = 4√14

Keisha is making potato casserole
for a dinner party. She needs of a
potato per guest. How many
potatoes will she need for 9 guests?​

Answers

Answer:

4 1/2 I think

Step-by-step explanation:

I think but I'm not for sure

Marcus believes he can score a goal at least 70% of the time.He runs a simulation where he tracks the number of successful goals out of ten attempts. He runs the simulation 100 times.
Goals 0 1 2 3 4 5 6 7 8 9 10
Frequency 0 1 2 2 1 0 1 18 40 30 5
He decides to use a significance level of 0.05. What can he conclude about his null hypothesis that he will score no more than 6 goals out of 10?

Answers

Answer:

The p-value is 0.07, which is more than 0.05. Fail to reject the null hypothesis.

Step-by-step explanation:

There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10

a. Write the equation you can create to show this situation.

b. How many people were at the table at the beginning of lunch? Explain how you know.

Answers

Answer:

11 hours ago u prob dont need it

Step-by-step explanation:

123456

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x
A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x​

Answers

Answer:

A. (7 - √14x) /(7 - 2x)

Step-by-step explanation:

Given the fraction:

7 / (7 + √14x)

Rationalize the denominator by multiplying (7 - √14x):

7 / (7 + √14x) =7(7 - √14x) / (7 + √14x)(7 - √14x) =7(7 - √14x) /(49 - 14x) =7(7 - √14x) /7(7 - 2x) =(7 - √14x) /(7 - 2x)

Matching choice us A

Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8

Answers

Answer:

See explanations below

Step-by-step explanation:

1)2 2/3 + 3 2/3

Convert to improper fraction

= 8/3 + 11/3

= (8+11)/3

= 19/3

= 6 1/3

hence the sum as mixed fraction is 6 1/3

2) 9 3/6 + 2 2/6

= 57/6 + 14/6

= (57+14)/6

= 71/6

= 11 5/6

Hence the value as a mixed fraction is 11 5/6

3) 4 3/8 + 1 5/8

= 35/8 + 13/8

= (35+13)/8

= 48/8

= 6

Hence the value is 6

Find the HCF of 45 and 81.​

Answers

Answer:

3² = 9

Step-by-step explanation:

45 =  3² × 5

81  = 3⁴

================

HCF = 3²

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