Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks

Answers

Answer 1

Answer:

Step-by-step explanation:

Divide And Simplifyx^29/x^216/x^2+5x+6/x-4step By Step Plsthanks
Answer 2

Answer:

[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]

Step-by-step explanation:

i'm going to assume what you have looks like

[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]

Let's start by factoring everything

x²-9= (x+3)(x-3)

x²-16= (x+4)(x-4)

x²+5x+6=(x+3)(x+2)

x-4= x-4

which means what we have looks like

[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]

And I think that's as simplified as it can get


Related Questions

There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?

Answers

Answer: 0.033 liters or 33 ml each

Step-by-step explanation:

There are 33 liters of orange juice and 1,010 students to drink it.

If they are to drink an equal amount, you should divide the quantity of orange juice by the number of students who want to drink it:

= Quantity of orange juice / Number of students drinking

= 33 / 1,010

= 0.033 liters each

In milliliters this would be:

= 0.033 * 1,000 milliliters

= 33 ml each

Use the diagram to find cos x as a fraction
in simplest form.

Answers

It’s 4/5

Regards,
ArmyCee:)

find the value of x

16
14
10
9

Answers

Answer:

x = 9

Step-by-step explanation:

create a ratio between the triangles:

x/6 = 12/8; cross multiply

72 = 8x; divide 8 on both sides

x = 9

PLEASE HELP MEE please33​

Answers

Answer:

x=3, y=-1

Step-by-step explanation:

[tex]3x+y=8, 2x-2y=8[/tex]

Double the first equation, then add the second

  6x+2y=16

+ 2x-2y=8

The y's cancel each other out.

8x=24

x=3

Solve for y

6-2y=8

2y=-2

y=-1

Double check:

6(3)+2(-1)=16

18-2=16

Yay!

Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values ​​of ɑ and b?

Answers

Answer:

(x+1)² = 14

a = 1, b = 14

Step-by-step explanation:

Given the equation, x² + 2x = 13

We are to use the completing the square method to express in the form

(x + a)² = b

x² + 2x = 13

Add the square of half of the coefficient of x to both sides

Coefficient of x = 2

Half of the coefficient of x = 2/2

Square of the result = (2/2)²

Square of the result = 1²

Add (1/2)² to both sides

x² + 2x + (1)² = 13 + (1)²

(x+1)² = 13 + 1

(x+1)² = 14

Compare with  (x+a)² = b

a = 1 and b = 14

https://imgur.com/a/p0QjLGl

Answers

Answer: what’s the link about ?

From the figure, We can notice that Sum of the angles (∠AKC and ∠AKE) should be equal to 180°

Because ∠AKC and ∠AKE make a Linear Pair

⇒  ∠AKC + ∠AKE = 180°

⇒  5x + 12x + 27 = 180

⇒  17x = 180 - 27

⇒  17x = 153

⇒  x = 9°

⇒  ∠AKE = 12(9) + 27 = (108 + 27) = 135°

Answer : ∠AKE = 135°

Please help if you can!

Answers

Answer:

D: 78 ft2    

Step-by-step explanation:

6x13=78

Answer:

Rectangle

Result

Area = l × w

= 13 × 6

= 78 feet2

Step-by-step explanation:

#Brainliestbunch

A sandwich shop offers 6 different types of bread, 4 different
types of meat, and 3 different types of toppings. A sandwich
is made with 1 type of bread, 1 type of meat, and 1 topping.
How many different kinds of sandwiches are there?

Answers

Answer:

36

Step-by-step explanation:

 72 different kinds of sandwiches can be made using 6 different types of bread, 4 different types of meat, and 3 different types of toppings

Given :

A sandwich shop offers 6 different types of bread, 4 different types of meat, and 3 different types of toppings

bread = 6 , meat=4, toppings=3

Sandwich is made of 1 type of bread, 1 type of meat, and 1 topping.

To find the number of combinations we multiply all the possible types we have

Number of combinations of sandwiches = [tex]6 \cdot 4 \cdot 3=72[/tex]

There are 72 different kinds of sandwiches.

Learn more : brainly.com/question/23045449

Solve for x and show work

Answers

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 52 =x /8

8 sin 52 =x

6.304086029 = x

Answer:

x=6.3

Step-by-step explanation:

simply

sin 52=x/8

cross multiply

8 sin 52=x

x= 8 x 0.7880

x= 6.3

PLS HELP ILL MARK BRAINLIEST Complete each sentence with minimum or maximum and the corresponding numeric values. The _____________ value of f(x) = –|x – 4| – 5 is __________ when x = _________ . The _______ value of f(x) = x2 – 2x +­ 1 is ___________ when x = _________ .

Answers

Answer:

Step-by-step explanation:

1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4

2) the minimum value of f(x) = x2 – 2x +­ 1 is  0 when x = 1

Figure ABCD is a kite. Find the
value of x.
B
A 2x + 10
С
2x
D
x = [?]
Enter

Answers

Answer:

x = 20

Step-by-step explanation:

The diagonals of a kite are perpendicular to each other, so the 4 angles at the  intersection are right.

The sum of the 3 angles in a triangle sum to 180° , then

2x + 2x + 10 + 90 = 180

4x + 100 = 180 ( subtract 100 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

20 is the answer

Step-by-step explanation:

Correct for Acellus!

Find c Round to the nearest tenth 27 201 28 c=?cm

Answers

Answer:

[tex]56.3[/tex]

Step-by-step explanation:

The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).

Thus, we have:

[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]

Solve for x and show your work

Answers

Answer:

x = -5

Step-by-step explanation:

50 = x+55

50 - 55 = x

-5 = x

Someone help me with this please

Answers

Answer:

-1

Step-by-step explanation:

use a calculator and u will get this answer:)

Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2

Answers

Answer:

If we multiply both the sides by 2, the inequality signs remains the same.

If we divide both sides by -2, the sign changes.

Step-by-step explanation:

The given inequality is

-8<2

If we multiply both the sides by 2, we get

-8 * 2 < 2*2

-16 < 4

The inequality signs remains the same.

On the other hand if we divide both sides by -2, we get -

-8/-2 < 2/-2

4 > -1

Here the sign changes.

a. 135
b. 120
c. 144
d. 108

Answers

Answer:

a. 135 is the correct answer

Step-by-step explanation:

Want to find out what the total degrees is of the octagon.

Octagon = 1080

Divide 1080 by 8

135 degrees per angle

Answer:

Option A is correct

Step-by-step explanation:

Hint :

Sum of angles in Regular Octagon = 1080°.

Simplify :

[tex] {z}^{o} = \frac{1080}{8} [/tex]

[tex]∴z = 135[/tex]

Hope it is helpful....

In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.

Answers

Answer:

Wavelength = 16 m

Step-by-step explanation:

Given that,

In 6 seconds, a total of 3 waves crash into a cliff.

The distance between 2 adjacent wave crests on the water is 8 meters.

We need to find the wavelength of the wave.

We know that, the distance between two consecutive wave is called wavelength of a wave.

We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.

Hence, the wavelength is 8 m + 8 m = 16 m

Which of the following shows the correct order of the given numbers?

1, 1, 1.6

Answers

1.6, 1, 1 because 1.6 is more than one so it is bigger.

Help?,?,?,?.!.??.?.?.?.?.?.

Answers

Answer:

Step-by-step explanation:

b(a + 1) + a = b*a + b + a = ab + b + a

1) b(2a +1 ) = b*2a + b*1 = 2ab + b  Not equivalent.

2)a + (a +1)*b = a + ab+ b     Equivalent

3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a  Not equivalent.

4) (a + 1)b + a = ab+ b + a   Equivalent

5) a + b(a+1) = a +ab + b Equivalent

6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b  Not equivalent.

7) a(b +1) + b = ab + a + b  Equivalent

I need help with this math question plz

Answers

Answer:

Step-by-step explanation:

9+0.75x

1 metre= $9.75

2 metre= $10.50

3 metre= $11.25

4 metre= $12

5 metre= $12.75

6 metre13.50

Write an equation of the line that goes through the point (0,5) and has a slope of 4.

Answers

Solution :

The Equation of the line can be represented as :

[tex] \longrightarrow \: y = mx + b[/tex]

where, m is slope of the line.

now, let's solve for b , by plugging the values of "x" , "y" and "m"

[tex] \longrightarrow \: 5 = (4 \times 0) + b[/tex]

[tex] \longrightarrow \: b = 5[/tex]

Therefore, the equation of above line is

[tex] \large \boxed{ \mathrm{y = 4x + 5}}[/tex]

[tex] { \orange{ \mathfrak{ \underline{hope \: \: it \: \: helps \: \: you.....}}}}[/tex]

X X 7
What is the solution to the equation 3+ 6 = ?
3
OX= 2
7
OX=3
O x= 3
O x=7

Answers

Answer:

x=7

Step-by-step explanation:

x/3 +  x/6 = 7/2

Multiply each side by 6 to clear the fractions

6(x/3 +  x/6) = 7/2 *6

Distribute

2x +x = 21

Combine like terms

3x = 21

Divide by 3

3x/3 = 21/3

x = 7

Answer:

x = 7

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )

2x + x = 21

3x = 21 ( divide both sides by 3 )

x = 7

I need help please!!!!!!!!!!!!!!

Answers

According to my calculations it’s $51.04

Answer:

Step-by-step explanation:

Liz earnings per hour = $ 9.28

Liz earnings for 5.5 hours = 9.28 * 5.5

                                          = $ 51.04

Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar. She already put in 1/2 a cup of flour. How many more cups of flour does she need to add? Write your answer in decimal form.

Answers

6.5 cups of flour should be the correct answer

Help needed!!! Will give 20 points!!!

Answers

Answer:

1st answer

Step-by-step explanation:

[tex]f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4[/tex]

the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?

Answers

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8

In the year 2006, a person bought a new car for $18000. For each consecutive year after that, the value of the car depreciated by 15%. How much would the car be worth in the year 2009, to the nearest hundred dollars?



Please i need answer now

Answers

Answer:

Step-by-step explanation:

Use the exponential function

[tex]v(t)=a(b)^t[/tex] where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:

[tex]v(t)=18000(.85)^t[/tex]  We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):

[tex]v(t)=18000(.85)^3[/tex] and simplifying a bit:

v(t) = 18000(.614125) so

v(t) = 11054.25

Round however you need to.

Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10​

Answers

The answer is A ........

The total loan payment is $1,024,050.

What is Mortgage Loan?

Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.

We have,

The 30-year mortgage loan of $205,000 at 5.5% interest rate

We know, the total cost of this loan can be calculated as

L=LM+PMI

So, LM=$205,000 x (1+0.055[tex])^{30[/tex]

LM=$205,000 x 4.984

LM = $1,021,710

Now, the PMI over 24 months

= $97.5 x 24

= $2,340

So, the total loan payment is:

= $1,021,710 + $2,340

= $1,024,050

Learn more about mortgage loan here:

https://brainly.com/question/29538161

#SPJ5

Please give real answers with an explaination. I will give brainliest + 5-star rate. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

128.57 degrees per each interior angle

Step-by-step explanation:

For interior angles of regular polygons, all you have to do is add 180 degrees to the sum for each side added. For example, from triangle to quadrilateral, you would do 180 + 180 to get 360. Then from quadrilateral to pentagon, you would do 360 + 180 = 540. Do that all the way up to a heptagon and you get a sum of 900 degrees. 900 divided by seven angles will get you 128.57 degrees per interior angle.

Answer:

each interior angle = 128.6°

Step-by-step explanation:

Sum of interior angles of  a polygon with n sides = ( n - 2) x 180°

Given n = 7

So, sum of interior angles = ( 7 - 2 ) x 180 = 900°

Given it is regular,

      therefore each interior angle :

                                             [tex]\frac{900}{7} = 128.6^\circ[/tex]

A line that includes the point (4,4) has a slope of 3. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

Finding the equation in point-slope form is easier.  The result can then be put into slope-intercept form.

The point-slope formula is y - k = m(x - h).  With the given point (h, k) being (4, 4), h = 4 and k = 4.  The slope is 3.  Therefore, we have:

y - 4 = 3(x - 4), or

y = 4 + 3x - 12

This simplifies to the slope-intercept form y = 3x - 8

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