simplify (2x^2-32)/x^2+10+24

Answers

Answer 1

Answer:

Step-by-step explanation:

(2x^2-32)/(x^2 + 10x + 24) is less subject to misinterpretation.  Write these factors in a vertical column:

     (2x^2-32)

------------------------- and then factor numerator and denominator separately:

(x^2 + 10x + 24)

   2(x^2 - 16)         2(x - 4)(x + 4)       2(x - 4)

--------------------- = --------------------- = ----------------     Note:  This is good ONLY

(x + 4)(x + 6)          (x + 4)(x + 6)           x + 6            for x ≠ -4!  Division by

                                                                                 is not defined.

Answer 2

[tex]{ \dashrightarrow{ \sf { \red{ \frac{2 {x}^{2} - 32}{ {x}^{2} + 10x + 24}}} } } \\ \\ \\ { \dashrightarrow{ \sf{ \red{ \frac{2( {x}^{2} - 16)}{ {x}^{2} +(6x+4x) +24}}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4)}{ {x}^{2} + 6x + 4x +24}}}}} [/tex]

[tex]{ \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4}{ x(x+6)+4(x+6)}}}}} \\ \\ \\

{ \dashrightarrow{ \sf{ \red{ \frac{2(x + 4)(x - 4)}{(x+6)(x+4)}}}}} \\ \\ \\

{ \dashrightarrow{ \sf{ \red{ \frac{2(x - 4)}{ (x-6)}}}}} [/tex]


Related Questions

A figure has side lengths as marked in the diagram.
What is the area of the figure?

Answers

Answer:

132.4

Step-by-step explanation:

can someone help me? 8th grade math

Answers

9514 1404 393

Answer:

  a. 5^-3

  b. 14^18

  c. 8^9

  d. 16^3

  e. 21^-18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

a) 5^(3-6) = 5^-3

b) 14^(3·6) = 14^18

c) 8^(3+6) = 8^9

d) 16^(6-3) = 16^3

e) 21^(3(-6)) = 21^-18

Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.

Answers

Answer:

I don't see any answer choices to choose from

Answer:

there is not options to answer

Step-by-step explanation:

3 x 8/4 ?????????????//////

Answers

Answer:

6

Step-by-step explanation:

8/4 = 2 so 3*2=6

Find the value of x.

Answers

Answer:

10

Step-by-step explanation:

7x+5 = 9x -15

5 = 2x -15

2x = 20

x = 10

Alexander is going to invest $1,900 and leave it in an
account for 7 years. Assuming the interest is
compounded monthly, what interest rate, to the nearest
tenth of a percent, would be required in order for
Alexander to end up with $3,100?

Answers

3,100= 1,900 +84x

right since 84 months in 7 years

so 14.3% right?

8. By using coupons, Mary Jo is able to decrease the retail price of her groceries, g, by $125. you find the nroduct of the base and height and then divide by 2. Expression. ​

Answers

Answer:

is there more to it? if not i dont understand what they are asking.

Step-by-step explanation:

Branliest to the smart people i’m stvpid

Answers

-8n^2-8n+3

hope this helps!! :)

Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how many slices
could he eat in half of an hour?

Answers

Answer:

18.

Step-by-step explanation:

3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.

If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

What is the Linear equation in one variable?

The Linear equation in one variable is an algebraic equation of degree one.

it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.

Takaya can eat three slices of pizza in five minutes.

for half an hour it would be 6 times five minutes.

So, in half an hour Takaya can eat 3 × 6 = 18

Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

Learn more about Linear equations in one variable here:

https://brainly.com/question/2501033

simplify the expression 2(j+1)+j​

Answers

Step-by-step explanation:

I hope this helps. ans:3j+2

Answer:

3j+2

Step-by-step explanation:

you need to distribute 2(j+1) which gonna lead you to 2j+2 then you add another j which is 3j+2

12 POINT HURRY HURYRJXNXNDJDJDNDN

Answers

Answer:

The fourth choice, Pink, is the correct answer.

Step-by-step explanation:

The first two options intersect, therefore the intersection is the solution. The third set of lines may seem like one line, however since we are dealing with two linear equations, it can be presumed that those are two lines on top of one another, therefore it has infinite solutions. The last option remaining is Pink, in which the lines are parallel and therefore will never intersect, making them have no solution.

The quotient x of and 3

Answers

Easy :)

Quotient means dividing something by something else.

So,

Quotient of x and 3 is x3

If the question says Quotient of x and 3 minus 8 then you can write it as x3-8

[tex]\large\sf\red{thank \: you}[/tex]

What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10

Answers

The simplified version is -8x+10

Simplify 2.1+(-3.7h)+1.9h-1.4

Answers

The answer is: 0.7 - 1.8h

victor are 60 de lei si merge la florarie pentru a-i cumpara mamei sale un buchet de flori. daca ar cumpara 9 garoafe si 4 trandafiri, ar plati 47 de lei. daca ar cumpara doar trandafiri, toti banii i-ar ajunge pentru 12 bucati. insa el cumpara 13 flori (garoafe si trandafiri) si ramane cu 5 lei rest, cate garoafe si cati trandafiri a cumparat victor?

Answers

Answer:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

Step-by-step explanation:

Pasul 1

Să reprezentăm:

Costul garoafelor = c

Costul trandafirilor = r

Victor are 60 de lei și merge la florărie să-i cumpere mamei sale un buchet de flori.

Dacă ar cumpăra 9 garoafe și 4 trandafiri, ar plăti 47 de lei.

Prin urmare,

9c + 4r = 47 ..... Ecuația 1

Dacă ar cumpăra doar trandafiri, toți banii ar fi suficienți pentru 12 bucăți.

Prin urmare,

12 trandafiri = 60 lei

1 trandafir = r lei

Cross Multiply

12r = 60 lei

r = 60 lei / 12

r = 5 lei

1 trandafir costă 5 lei

Înlocuim 5 cu r în ecuația 1

9c + 4 × 5 = 47

9c + 20 = 47

Colectează ca termeni

9c = 47 - 20

9c = 27

c = 27/9

c = 3 lei

Costul unei garoafe este de 3 lei

Pasul 2

Dar cumpără 13 flori (garoafe și trandafiri) și rămâne cu 5 lei rămași,

60 lei - 5 lei = 55 lei

Asta înseamnă că a cheltuit 55 de lei pe 13 flori.

Lasă

Număr de trandafiri = x

Numărul este garoafe = y

x + y = 13 ......... Ecuația 1

x = 13 - y

Din moment ce, Costul unei garoafe = 3 lei și 1 trandafir = 5 lei

3x + 5y = 55 ...... Ecuația 2

Înlocuim 13 - y cu x în ecuația 2

3x + 5y = 55

3 (13 - y) + 5y = 55

39 - 3y + 5y = 55

Colectează ca termeni

- 3y + 5y = 55 - 39

2y = 16

y = 16/2

y = 8

Rezolvarea pentru x

x = 13 - y

x = 13 - 8

x = 5

Prin urmare:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

On a recent day,8euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros. The equation is y=? NEED HELP!!!! Hey

Answers

On a recent day, 8 euros were worth $11 and 40 euros were worth $55. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. First solve k which is the slope so k = ( 55- 11) / ( 40 -8) = 1.375
Y= 1.375x

Answer:

1.3

Step-by-step explanation:

Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

Notes:

8 euro= $1132 euro= $44

Need:  Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

In Y = K X

    |         |

    |         numbers of euros.

    value in dollars

Our first number: 8 euro = $11

Y=11

X=8

Then Convert:

11=K8

11=K*8 ---> 8*K=11

8K=11

11/8= 1.3

K=1.3

From your not so smart brainly user

A butcher has 15 and 3/4 pounds of steaks and portions them into 7 sealed packs. How many pounds does each pack of steak weigh? *

Answers

Answer:

9/4 or 2 and 1/4 pounds

Step-by-step explanation:

Convert 15 and 3/4 into an improper fraction

15*4+3 = 63

63/4

63/4 ÷ 7

9/4

Thus, each pack weighs 9/4 pounds

Answer:

2 1/4 pounds each

Step-by-step explanation:

Convert 15 1/4 into a decimal (15.75) then divide by seven (15.75 ÷ 7 = 2.25)

and then convert 2.25 back into a fraction, 25 is 1/4 of 100 so the answer is 2 1/4

The temperature in Minneapolis was
-9°F. The next day, the temperature was warmer than -9'F
Write an inequality which is true only for temperatures t that are warmer than -9°F
HELP ME !!

Answers

-9°F < t
Should be it

Answer:

x>-9F

Step-by-step explanation:

x is all possible temperatures greater than -9F

GIVING BRAINLIEST Find the surface area of the net below

Answers

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

whats the ninth term of 25 20 15 10 5

Answers

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

                                       = -5

The nth terms of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

[tex]a_9=25+(9-1)(-5)[/tex]

[tex]a_9=25+(8)(-5)[/tex]

[tex]a_9=25-40[/tex]

[tex]a_9=-15[/tex]

Therefore, the ninth term of the given sequence is -15.

Ryan keeps his loose change in a milk jug. The jug contains 15 pennies, 10 nickels, 35
dimes, and 20 quarters. If Ryan shakes out one coin, what is the percent probability the
coin will NOT be a dime?

Answers

56% chance it won’t be a dime

Name an (input, output) pair on the graph that could be removed from the data set to have the graph represent a function! :)

Answers

I think it would be 12 sorry if I’m wrong

President Jackson favored state banks over the Second Bank of the United States because he
believed
A.
the Constitution called for a series of state banks.
B.
state banks should issue a uniform national currency.
C.
the Bank could not control the nation's loans.
D.
the Bank had too much power over the nation's economy.

Answers

I believe it’s D! Good luck!

classify and degree 2x+7​

Answers

Answer:

Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Step-by-step explanation:

what is 323 dived by 48?

Answers

323/48=6.73

Hope this helps!!

this is too much for me
if you know please answer

Answers

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

Answer:

-4x +y + 6z (Cyan answer)

What is mArc SU?

49°
77°
98°
161°

Answers

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

What is Tangent?

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

What is secant ?

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

Learn more about Tangent and secant here

https://brainly.com/question/15178974

#SPJ2

Can someone please help me with #2,3,5 ( for Brainliest)

Answers

Answer:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

6 ) hey pls help me with his I have the answers all I need is to show the work

Consider angle B in the diagram below . What is the length of “opposite side” to angle B?

Answer: a

Answers

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

Which equation can be represented using the number line?

A. 3/4 ÷ 1/8 =6
B. 1/8 ÷ 3/4 =6
C. 6 ÷ 3/4 =1/8
D. 6 ÷1/8 =3/4

Answers

The answer is A because there is 6 loops and if you divide 3/4 divided by 1/8 you get 6
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