How to solve integration using a partial fraction?.

Answers

Answer 1
Multiplying both sides by the LCD (x + 2)(x - 1); -3x + 7 = A(x - 1) + B(x + 2). Substitute x - 1 = 0, or x = 1 we have -3 + 7 = 3B ;B = 4/3. Substitute x + 2 = 0, or x = -2 we have 6 + 7 = -3A ; A= -13/3. Example 2: Decompose the following rational expression into partial fractions

Related Questions

The total bill for the drinks and pizza comes out to be $17.28. How much should each person pay if they are to share the total bill equally among the three of them?
pls help yall are soo smart

Answers

Answer:

5.76

Step-by-step explanation:

17.28/3

are x-(-4) and x+4 equal?​

Answers

Answer:

yes they are

Step-by-step explanation:

If you distribute the minus then the 4 becomes positive.

Have a great day!

If it helped mark me brainliest!

Answer:

yes

Step-by-step explanation:

x - (-4)

Apply rule - (-a) = a:

⇒ x + 4

i need answer please​

Answers

It is centered at (h,k) --> (0,0) and has a radius 9

The equation of the circle is

           [tex](x-h)^{2} +(y-k)^{2} =r^{2} \\(x-0)^{2} +(y-0)^{2} =r^{2}\\x^{2} +y^{2} = 9^{2}[/tex]

Hope that helps!

if a men's shirt cost R299 now and R450 before the sale with what percentage did the price of the shirt decrease​

Answers

First can you tell me the difference in price

please help with my fractions

Answers

Answer:

first you find the common denominator, it is 6.

so the numbers would stay the same. now that our denominators are the same we shall add.

1+2 = 3

3/6.

You can simplify by thinking what multiplication table is 3 and 6 in? its 3 so simplify

3/6 divide both by 3

you get 1/2 so your final answer shall be 1/2

Patrick makes about 74% of his free throws when playing basketball. He shoots 40 free throws at practice. About how many free throws will he make?
Pls help this is due today

Answers

Answer:

about 30

Step-by-step explanation:

Convert 74% to  a decimal by dividing by 100 or by moving the decimal two places left.

74.% = 0.74

Multiply

0.74 x 40 = 29.6

Round to the nearest whole number

29.6 = 30

Please help!!!
Please answer two of these questions and I’ll give 20 points!!

12. In a Fibonacci sequence, every term (except the first two) is the sum of the two
preceding terms. For example, 1, 1, 2, 3, 5, 8, 13, 21, ... is a Fibonacci sequence.
Find the sixteenth term of a Fibonacci sequence whose first two terms are -3 and 9.

13. If you buy 31 floops, the total cost will be less than 40$. But if you buy 32 floops, the total cost will be more than 41$. Assuming these prices do not involve tax, what is the cost of one floop?

Answers

12. If the first two terms of the sequence are -3 and 9, the next few terms are

-3 + 9 = 6

9 + 6 = 15

6 + 15 = 21

15 + 21 = 36

and so on. Continuing in this way, you'd find the 16th term to be 4359.

13. Let x be the cost of 1 floop.

31 floops cost less than $40, so 31x < 40 or x < 40/31.

32 floops cost more than $41, so 32x > 41 or x > 41/32.

Equivalently,

41/32 < x < 40/31

and

41/32 ≈ 1.28125

40/31 ≈ 1.29032

which means x = $1.29.

the area of a trapezium with parallel sides 18cm 12cm and height is 8cm

Answers

Trapezium

parallel sides = 18 cm, 12cm

Height = 8cm

____

Area of trapezium =

[tex] \frac{1}{2} \times (a + b) \times h[/tex]

____

[tex] \frac{1}{2} \times (a + b) \times h[/tex]

[tex] \frac{1}{2} \times (18 + 12) \times 8[/tex]

[tex] \frac{1}{2} \times (30) \times 8[/tex]

[tex] \frac{1}{1} \times (15) \times8[/tex]

[tex]120 \: cm ^{2} [/tex]

____

Therefore, Area of trapezium is [tex]120 \: cm {}^{2} [/tex]

Answer:

Area of Trapezium = 120 cm³

Step-by-step explanation:

Trapezium = 1/2 * (a+b) * h [Formulae]

A & b = Sum of parallel sides

Given that,

Height H = 8Sum of parallel sides = 18 and 12, 18+12

Solved:

1/2(18+12)8 cm²1/2 * 30 * 8 cm²15 * 8 cm²120 cm²

Therefore,the area of trapezium is 120 sq. cm or 120 cm².

please someone solve this problem
I really need answers ​

Answers

Answer:

x = 50°

y = 50°

z = 80°

Step-by-step explanation:

working out x:

angles on a straight line add up to 180°

x + 130° = 180°

subtract 130 on both sides

x = 180° - 130°

x = 50°

working out y:

two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°

y = 50°

working out z:

the sum of a triangle add up to 180°

add up the angles of x and y and equate to 180°

50 + 50 + z = 180

100 + z = 180

subtract 100 on both sides

z = 180 - 100

z = 80°

please help i’m so bad at graphs

Answers

Answer:

If the mother (red line) cycles at 12 mph, it means that in half an hour (x=0.5) she cycled for 6 miles.

The daughter (blue line) walks at 1/3 of her speed, or 4 mph. It means that in half an hour she traveled 2 miles, and 4 miles after an hour.

Assuming that they start at the same point at distance zero, it's just joining the dots.

Somebody help me please..

Answers

I believe the answer is B I pretty sure
Answer: c) 2b - 3a + 7/2

Explanation:

(1 + b/2) - 3a + 3

(1 + b + 6/2) - 3a

= 2b - 3a + 7/2

Find the area of the rectangle with measurements shown; reduce to lowest terms:
Length: 2 2/5 feet; Width: 1/3 feet
4/5 square feet
5 7/15 square feet
1 12/15square feet
4/5 feet

Answers

Answer:

4/5

Step-by-step explanation:

the area of rectangle is length × breadth

length = 2 2/5 breadth = 1/3

2 2/5 × 1/3 = 12/15

reducing to the lowest term =4/5

Step-by-step explanation:

2 2/5 × 1/3 = 12/15

Reduced is 4/5

Hope this helps

Brainliest

-
f(x) = 3x2 - 6x + 5
g(x) = -4(x–8)2 + 3
=
-
Explain how to find the axis of symmetry

Answers

Answer:

THE AXIS OF SYMMETRY IS ALWAYS THE X VALUE OF THE VERTEX

Step-by-step explanation:

The vertex is where the graph performs the u shape bend.

The vertex is always -b/2a. so in problem one, it would be 6/2(3) which is 1. That is the x value so the axis of symmetry would be x=1.

{5, 3, 1, -1, ...} find a18

Answers

Answer: The numbers are decreasing by 2. So that means that the eighteenth number would be -29.

Explanation:

{5, 3, 1, -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29...}

Find the mean of the given data. 3,4,5,7,10,12,15​

Answers

║ Answer ║

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

8

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

First Let's know how to find the mean;

Add up all data values to get the sumCount the number of values in your data setDivide the sum by the count

The mean is the same as the average value in a data set.

Solve;

3+4+5+7+10+12+15=56

Count; 3,4,5,7,10,12,15​=7

Now divide..

56/7 = 8

Hence, Mean of the given date is 8.

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]~

Find the missing measure. 50° x°

Answers

Answer:

x = 129° ( linear pair then vertically opp angles)

(2x^2)^3(-x^4)
can somebody please help me on this

Answers

Answer:

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

[tex] {2x}^{6} \times ( - {x}^{4} )[/tex]

[tex] - {2x}^{6 + 4} [/tex]

[tex] - {2x}^{10} [/tex]

hope it helps you :)

Please help me quickly!!

Answers

Answer: The 2nd choice.

Step-by-step explanation:

The y-intercept is the y coordinate when x = 0. Based on the table, we can see that the y coordinate is 12 when x is 0.

The slope is equal to (y2-y1)/(x2-x1) for any given points (x1,y1) and (x2,y2).

We can choose the point (0,12) to represent (x1,y1) and the point (6,0) to represent (x2,y2).

Therefore, the slope is (0-12)/(6-0) = -12/6 = -2

Give the most specific name for the quadrilateral based off of the picture. Please don’t post random things thanks

Answers

Step-by-step explanation:

parellogram

two opposite sides are equal

opposite angles add up to 180°

If you walk to school at a rate of 3 miles per hour, how long will it take you to walk 6 miles?

Answers

Answer:

2 hours

Step-by-step explanation:

3*2=6

bc 3mph times 2 its 6 miles

Answer: 2 hours

Step-by-step explanation:

Arrange the given data so the units cross out:
6 miles * [tex]\frac{1 hour}{3 miles}[/tex]

Antonio works at a grocery store. He puts 23 pounds of flour into 5 sacks. He put the same weight of flour into each sack. How much flour did Antonio put into each sack?

Answers

Antonio put 4.6 pounds of flower into each stack since 23 pounds divided by 5 stacks is 4.6

The bed of a large pickup truck has a carrying capacity of 2.5cubic yards. How much is the capacity in cubic inches

Answers

Answer:  116,640 cubic inches

Work Shown:

1 foot = 12 inches

1 yard = 3 feet = 3*12 = 36 inches

(1 yard)^3 = (36 inches)^3

1 cubic yard = 46656 cubic inches

2.5 cubic yards = 2.5*46656 = 116,640 cubic inches.

Solve the inequality for x. 1/2 x − 2 > 22
A) x > 12
B) x > 48
C) x > −12
D) x > −48

Answers

B is correct

1/2x-2>22

Remember 1/2=0.5

We write the equation as

0.5x-2 >22

Collect like terms

0.5x > 22+2

0.5x>24

Divide through by 0.5

X>24/0.5

X>48

Option b

Answer:

B x > 48

Step-by-step explanation:

1/2x -2 >22

Mulitply both sides of the inequality by 2

x - 4 > 44

Move the constant to the right

x > 44+4

Add the numbers

x>48

What is the circumference of the circle? Answer in terms of pi

Answers

Answer:

10π

Step-by-step explanation:

The circumference of a circle is the distance of the outside of the circle. The formula for circumference is C=2πr.

In the question, you are given the diameter. Diameter is the radius times 2. So, to find the radius you can divide the diameter by 2. Since, 10cm/2 is 5 cm, 5cm is the radius.

Then, plug this information into the formula to solve for C.

2*5π = 10π

This means that, in terms of pi, the circumference is 10π cm.

What is the multiplicative inverse of y? y 1 y -y 0


Ill give brainly if correct :D

Answers

Answer:

The multiplicative inverse of y is - 1/y

Step-by-step explanation:

hope this helps :)

The slope of this line is . (If the slope does not exist, enter DNE or NONE.)

Answers

Answer:

0

Step-by-step explanation:

The slope is 0 because the y value stays the same

Point A is at (-7, 5) and point C is at (5, -1). Find the coordinates of point B on AC such that AB is 5 times as long as BC
B= (_, _)

Answers

Answer:

B= (3, 0)

Step-by-step explanation: I had this question before so I know it

14. There are 11 boys and 10 girls in a classroom. A teacher chooses a student at random and puts that student
at the head of a line, chooses a second student at random and makes that student second in the line, and
so on, until all 21 students are in the line. What is the probability that the teacher puts them in a line
alternating boys and girls? where no two of the same gender stand together?

Answers

Yes because if she's going one in one out it is a chance thats what shes doing

The probability that the teacher puts them in a line alternating boys and girls is 1/352714

What is probability?

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Given: There are 11 boys and 10 girls in a classroom.

A teacher chooses a student at random and puts at the head of a line.

Number of students=  [tex]^{21}P_{21}[/tex]/ 11 ! * 10!

                         = 21 !/11!*10!

                         = 21*20*19*18*17*16*15*14*13*12*11!/11!* 10*9*8*7*6*5*4*3*2*1

                         = 352714

P(alternate boys and girls)= n(A)/n(S)

                                           = 1/ 352714

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Consider x2 10x _____. How many unit tiles need to be added to complete the square and form a perfect square trinomial expression? unit tiles.

Answers

The number of unit tiles need to be added to complete the square and form a perfect square trinomial expression is 25.

What is algebra tile?

Algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.

A trinomial which is expressed as the square of the binomial equation is a perfect square trinomial.

Let the missing number for the given expression is g. Therefore,

[tex]x^2 +10x+g[/tex]

Now, to make the above expression the perfect square trinomial expression, this has to be make such that it can be written in the squared form.

To find the value of g, half the middle term and square it. As the value of the middle term is 10. Thus, the value of the g is,

[tex]g=\left(\dfrac{10}{2}\right)^2\\g=5^2\\g=25[/tex]

Put this value in the above expression as,

[tex]x^2 +10x+25\\(x+5)^2[/tex]

Hence, the number of unit tiles need to be added to complete the square and form a perfect square trinomial expression is 25.

Learn more about the algebra tile here;

https://brainly.com/question/4407619

Pls hurry ASAP! U will get Brainly

Answers

Answer:

- 9 and 28

Step-by-step explanation:

substitute the given values for x, y, z into the expressions

1

- (3 - 2) - 4(3 + 1) + 1 + (2(3) + 2)

= - 1 - 4(4) + 1 + 6 + 2

= - 1 - 16 + 9

= - 17 + 9

= - 8

2

4(2)  - 6(- 3 + 1²) + 4(2)

= 8 - 6(- 3 + 1) + 8

= 8 - 6(- 2) + 8

= 8 + 12 + 8

= 28

Answer:

-8 28

Step-by-step explanation:

You want to evaluate these expressions when (x, y, z) = (3, 2, 1).

-(x -y) -4(x +z) +z +(2x +y)4y -6(-x +z²) +4y

Simplify

We find it easier to evaluate the expression when it is simplified to a form that minimizes that amount arithmetic we need to do. So, our evaluation does that first. Then the corresponding values are put where the variables are in the expression, and the arithmetic is carried out.

1.

Simplifying, we find the sum to be ...

  -x +y -4x -4z +z +2x +y = x(-1-4+2) +y(1+1) +z(-4+1)

  = -3x +2y -3z = 2y -3(x +z)

  = 2(2) -3(3 +1) = 4 -12

  = -8

2.

Simplifying, we find the sum to be ...

  4y +6x -6z² +4y

  = 6x +8y -6z²

  = 6(x -z²) +8y

  = 6(3 -1²) +8(2) = 12 +16

  = 28

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