Find the value of A+B

5/x²+6x+8 = A/x+2 + B/x+4

Answers

Answer 1

Step-by-step explanation:

[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]


Related Questions


1. Which quadratic equation has 5 and - 4 as its solutions?

Answers

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0

Find the missing
information.
Arc length-1.5 ft
Radius-?
Central angle-pie/4 rad
Round to the nearest thousandth.

Answers

Answer:

1.91 ft

Step-by-step explanation:

Formula

l = rα

where :

l = arc lengthr = radiusα = central angle

Solving for r

l = rαr = l/αr = 1.5/(π/4)r = 6/πr = 1.90985932 ftr = 1.91 ft (nearest thousandth)

Can someone solve this for me please.

Answers

Answer:

y= .5x+2

Step-by-step explanation:

Slope= 2/4 (rise over run) = .5

B/ y intercept = 2

y=.5x+2

Can y’all help me on this graph work asap pls

Answers

Just divide one of number of tickets by which ever of the ticket prices that goes on a line, like for example $24 divided by 3 equals $8 a ticket

PLSSS help if you TURLY know THISS

Answers

Answer:

that would be C.) 1 and 1/8

Step-by-step explanation:

becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8

Answer: c

Step-by-step explanation:

Add the numerators

7+2=9

8 out of the 9 will make a whole number

9-8=1

The last 1 in the numerators will make 1/8

1 and 1/8

PLEASE HELP I AM CHOOSING BRAINLIEST

Answers

Answer:

0

Step-by-step explanation:

since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number

for example

2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder

In these number grids, two numbers are added to give the number below.
Example:
13
12
13 + 12 = 25
25
Write numbers in the number grid to make it correct.
4
9
35

Answers

Answer:

11, 15, 20

Step-by-step explanation:

[tex]there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\ \: please \: rate \: brainliest[/tex]

The numbers in the grid are:

4     11     9

  15     20

     35

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 + x = a _____(1)

9 + x = b ______(2)

And a + b = 35

From (1) and (2),

4 + x = a

9 + x = b

13 + 2x = a + b   ( Adding )

Now,

13 + 2x = a + b

13 + 2x = 35

2x = 22

x = 11

Thus,

4     11     9

  15     20

     35

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

FREE BRAINLIEST Write the equation for the parabola that has x− intercepts (−3,0) and (4,0) and y− intercept (0,12).

Answers

Answer:

f(x) = -x^2 + x + 12.

Step-by-step explanation:

f(x) = a(x - 4)(x + 3)    as the x-intercepts are  -3 and 4.

a is some costant.

At the y intercept x = 0 so we have:

y = 12 = a(0-4)(0+3)

12 = -12a

a = -1

So our eaution is f(x) = -(x - 4)(x + 3)

= -(X^2 - x - 12)

=  -x^2 + x + 12

HELLLLLLLLLLLLLLLLP 8TH GRADE MATH IM TIMED HELLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)

Solve the following linear inequalities given in the first column and choose the appropriate results

Answers

Solution 1

7(g - 19) ≥ -14

7g - 133 ≥ -14

7g  ≥ -14 + 133

7g ≥ 119

g ≥ 17

Solution 2

3(7g+17) > -19 + 14g

21g + 51 > -19 + 14g

21g - 14g > -19 -51

7g > -70

g > -10

Solution 3

6(-6g + 6) > -2(19g - 17)

-36g  +36 > -38g + 34

-36g + 38g > 34 - 36

2g > -2

g > -1

Please help me con la resolución porfa

Answers

Answer:

2,591 esta bien la respuesta

show that the relation R in R define as R = {(a, b): a<_ b}, is reflexi when transistor but not symmetry​

Answers

Answer:

R is reflexive and transitive but not symmetric.

Step-by-step explanation:

R = {(a, b); a ≤ b}

Clearly (a, a) ∈ R as a = a.

R is reflexive.

Now,

(2, 4) ∈ R (as 2 < 4)

But, (4, 2) ∉ R as 4 is greater than 2.

R is not symmetric.

Now, let (a, b), (b, c) ∈ R.

Then,

a ≤ b and b ≤ c

→ a ≤ c

→ (a, c) ∈ R

R is transitive.

Thus, R is reflexive and transitive but not symmetric.

Point x (-6,3) is translated 2 units left and 5 units down. Write the coordinates of X'

Answers

Answer:

X' (-8,-2)

Step-by-step explanation:

You move -6 two spaces to the left making -8 and 3-5 = -2

A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?

Answers

Answer: 1.8 cubic cm

Step-by-step explanation:

A triangle has one side of length 5 and another of length 9. Which of the following are possible lengths of the third side?

Answers

Answer:

Anything between 4 and 14

Step-by-step explanation:

When two lengths of a triangle are added together, they must be greater than the third side. Therefore the unknown length cannot be equal to or less than 4 nor equal to or greater than 14.

Write an expression that is equivalent to 1.5a +4.7+0.25a-0.3-0.5a

Answers

Answer:

1.25a-4.4

Step-by-step explanation:

you take :1.5a+0.25a-0.5a=1.25

then:4.7+0.3=4.4

1.25a-4.4

but am not sure sorry

Answer:

1.25a + 4.4

Step-by-step explanation:

Collect like terms and simplify

1.5a +4.7 + 0.25a - 0.3 - 0.5a = a(1.5 + 0.25 - 0.5) + (4.7 - 0.3) = 1.25a + 4.4

Last year. Samara practiced playing the violin for 26 hours the piano for 35 hours, the flute for 41 hours, and the drums for 18 hours How many days in total did she practice playing her musical instruments? Explain Your answer.​

Answers

Answer:

5 days

Step-by-step explanation:

26+35+41+ 18 = 120

120/24 = 5

If k is a nonzero constant, what is the slope of the line containing the points (k,2k) and (3k,k)

Answers

Answer:

The slope is -1/2

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}[/tex]

35. Eastview Junior High students order sweatshirts and T-shirts in either purple or gold. Of the
students who ordered a sweatshirt, the relative frequency of ordering a gold one is half of the
relative frequency of ordering a purple one. Which two-way table could show the data from the
orders?

Answers

but if two equals three then give me a two because i’m not a three!!!!!

Scott invests $1000 at a bank that offers 6% compounded annually.Write an equation to model the growth of the investment

Answers

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

           .....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

Therefore, an equation to model the growth of the investment is,

If the half-life of carbon-14 is 5730 years, how old is a mummy having only 30% of the normal amount of carbon-14?

Answers

Answer:

17190 years.

Step-by-step explanation:

The half-life of carbon-14 is

5730 years.

Therefore, after1 half-life there is 50%=12 of the original amount left.2half-lives there is 25%=14of the original amount left.3 half-lives there is 12.5%=18 of the original amount left.

1−78=18

So, your answer would be the time it takes for carbon-14 to elapse 3 half-lives.

5730⋅3=17190

Graph the system.
y=x2+4x+1
y−x=1
As you graph your parabola, plot the vertex as your first point, followed by a point on the parabola.

Answers

Answer:

y = 6 x + 1

y = 1 x + 1

'^' :)))))

The circumference of a circle is 44π cm. find the diameter, the radius, and the length of an arc of 110.

Answers

Answer:

Step-by-step explanation:

What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth.

Answers

Answer:

282.74

Step-by-step explanation:

Answer:

[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]

Step-by-step explanation:

Given:

Shape of object = cylinder

height of cylinder= 4 inches

radius of cylinder= 5 inches

To find:

surface area of cylinder = ?

Solution:

we know that,

[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]

THANKS FOR JOINING BRAINLY COMMUNITY!

Solve this problem
need fast
[tex] {6}^{x + 3} = \sqrt{6} [/tex]

Answers

Answer:

x=-5/2

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]6^{x+3} = \sqrt{6}[/tex]

We want to find the value of x

This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation

On the left side, we have 6 (the base) raised to the power of x+3

On the right, we have √6

Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]

Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]

Rewriting the equation then:

[tex]6^{x+3}=6^\frac{1}{2}[/tex]

Both sides have the same base (6)

Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.

This means:

x + 3 = 1/2

Subtract 3 from both sides

x+3=1/2

  -3   -3
___________

x = -5/2

Hope this helps!

solve for x
sin(2x)=sin(x)
Explain steps please

Answers

There are multiple possible solutions for x, two examples are x = 0° and x = 360°.

How to find the value of x?

We need to solve the equation:

sin(2x) = sin(x)

Then we need to find a value x such that the sine of 2x is equal to the sine of x.

Now, because of the periodicity of the sine equation, there are a lot of possible values of x.

One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:

sin(2*0) = sin(0)

sin(0) = sin(0).

Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:

sin(2*360°) = sin(360°)

sin(720°) = sin(360°) = 0

Then x = 360° is another solution.

If you want to learn more about the sine function, you can read:

https://brainly.com/question/9565966

An equilateral triangle with side length 19 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.

Answers

Answer:

h = 16.5

Step-by-step explanation:

Remark

The formula below really is the Pytharagan formula disguised.

h^2 = hypotenuse (side)^2 - (1/2 side)^2

Givens

side = 19 cm

Solution

h^2 = 19^2 - (1/2*19)^2      Substitute given into formula

h^2 = 361 - (9.5)^2            square 9.5

h^2 = 361 - 90.25             Subtract

h^2 = 270.75                    Take the square root of both sides

√h^2 = √270.75

Answer: h = 16.5

Complete the calculations so that each shows the correct sum of difference (GIVING 30 POINTS)

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

a) 2 . 1 4 0             b) 2 9 . 9 9          c) 6 . 1 5 7

+ 1 . 7 2 5              +    1 . 4 2             - 1 . 0 0 9

   3 . 8 6 5                 3 1 . 4 1               5 . 1 4 8

A giant tortoise can walk about
1/10 meter per second on land. A cooter turtle can walk about
1/2 meter per second on land.
How long would it take a giant tortoise to travel 2 meters?
2 ÷ 1/10 = 2 ? 10 =

Answers

Answer:

its already on brainy hope this helps

Step-by-step explanation:

The rate of giant tortoise is 1/10 meters per each second.

The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant tortoise to travel 5 meters?

1 second : 1/10 m = X : 5 m

1/10x = 5

x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?

1 second : 1/2 m = X : 10 m

1/2x = 10

x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.

So the cooter turtle can travel 10 meters in 20 seconds.

The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)

Answers

Answer:

Male

Step-by-step explanation:

There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!

Other Questions
The Tree HouseThe brothers mowed lawns throughout their neighborhood to earn money to help pay for supplies. Carter and Anton had convinced their father to help them build a tree house last year, but snow covered the ground before they were able to get started.Through much anticipation, Carter and Anton had waited and prepared, and they were ecstatic that it was finally time to dive into their project. First, they had to go to the lumber yard with their father and purchase the wood. They spent an entire weekend measuring, cutting, and assembling the wood to create the floor, walls, and roof; it was very exciting to see the lumber transform into a small house. Every evening, Carter, Anton, and their father would spend several hours nailing pieces of wood together until the tree house was finally complete. Then they went to the paint store, where Carter and Anton took nearly two hours to agree on the color lime green. Painting their tree house sounded more fun that it was; the sanding, priming, and rolling paint on each section of the house was both challenging and time consuming. After more than a month of hard work and dedication, the tree house was finally complete.Which sentence should be added to introduce the narrative? A. Carter and Anton were very happy with how their tree house turned out. B. The two brothers were excited to shop for supplies for their treehouse with their father. C. Carter and Anton had spent two whole months designing the blueprints for their tree house. D. The two brothers worked on their tree house every evening until it was completed. The ___ is the inner lining of the uterus, facilitates the transport of sperm and prepares for implantation of an embryo. Group of answer choices Fallopian tubes Myometrium Perimetrium Endometrium found as plankton in both marine andfreshwater environments and have asingle simple eye on top of their heads What is the genre of the Arachne? What led you to this conclusion? Answer the following about 693/9 estimating. An astronomer notices increased chances of solar energetic particles in the ionosphere. Who should be notified of this possibility? Select the two correct answers. (1 point)engineers who control power systems to cities in the affected area flight operations officers who devise airline flight planesscientists who are responsible for tracking and maneuvering satellitescomputer technicians trying to charge several new computers at a warehouse ABC, with vertices A(4,1), B(3,3) and C(4,4) is graphed below. State the coordinates of A'B'C' the image of ABC, after a dilation of scale factor 2 centered at (5,4).ddd Another name for "getting out the vote" is in the call to unity letter Dr. King was criticized for being unwise and untimely. do you think that criticism of his is fair ? How are the expected counts calculated when a chi-square goodness-of-fit test is conducted?. help me please this is hardddd Find the value of each variable. For the circle, the dot represents the center. find a,b,c, & d pls answer fast For the data set summarized in the boxplot, identify the interquartile range (IQR). A) 22 B) 32 C) 57 D) 75 URGENT HELP PLEASE! find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thickBox 2 picture attached please give accurate answer thanks! HELLLLLLPPPPPPPPPPPP A method that executes because it is called automatically when an appropriate event occurs is an event ____. A) Responder B) Listener C) handler D) source Dear Makers of DreamWear Footie Pajamas, I bought your product with great excitement, but I was very disappointed with it and would like to request a refund. My PaddleRight Inflatable Kayak arrived promptly and was easy to inflate. But contrary to your advertisements, it was not at all easy to paddle. Rather than increasing stability and reducing back strain, the PaddleRight was difficult to steer. It was almost impossible to move in a consistent direction and was unstable in the wind. I am returning the kayak and would greatly appreciate a full refund.Sincerely,Patty CakesA.Which statement best describes the main problem with this document?It is inaccurate because the letter writer does not explain what steps she would like the company to take. B. It is inconsistent because the letter is addressed to the makers of a different product than the one the letter is about. C. It is inaccurate because the problems with the kayak are probably due to the user rather than the kayak itself. D. It is inconsistent because the letter writer first says that she is excited and then says that she is disappointed. If your small intestine where unwound approximately how long would it be. The length of the escalator is 36 ft and thevertical height it rises is 9 ft. what is the angleof elevation?a. 90b. 75. 52c. 14. 48d. 14. 04 Divide.3/5 2/5 = ??? A. 2/3 B. 1 1/2 C. 6/25 D. 4/5