The work shows the first steps of writing a partial fraction decomposition. StartFraction negative 5 x cubed + 2 x squared + 9 x + 2 Over (x squared + 2) squared EndFraction = StartFraction A x + B Over x squared + 2 EndFraction + StartFraction C x + D Over (x squared + 2) squared EndFraction Negative 5 x cubed + 2 x squared + 9 x + 2 = (A x + B) (x squared + 2) + C x + D Negative 5 x cubed + 2 x squared + 9 x + 2 = A x cubed + 2 A x + B x squared + 2 B + C x + D For this partial fraction decomposition, find the unknowns. A = , B = , C = , and D =

Answer:

w = 3

Step-by-step explanation:

-2 = w -5

Add 5 to both sides of the equation

-2+5=2-5+5

Simplify

w = 3

[RevyBreeze]

Answer:

84 is a solution.

Step-by-step explanation:

To find out if 84 is a solution or not, we plug in the value and simplify.

Therefore, 84 is a solution.

Answer:

-6x-16

Step-by-step explanation:
Combine like terms, (-4x-2x) + (-9-7)  = -6x - 16

Step-by-step explanation:

We'll be combining like-terms.

Remove the addition sign, as it has no effect to the expression:

[tex] - 4x - 9 - 2x - 7[/tex]

Combine Like-Terms:

[tex] - 6x - 16[/tex]

-6x - 16 is your simplified expression.

Answer:

this is the first answer

Step-by-step explanation:

hope this helps

The equation for the area in terms of x gives the function David should

use to maximize the area.

Response:

The equation that David should use to help him maximize the area is option A.

The given parameter are;

Length of fencing David has = 400 yards

Area to be enclosed = Rectangular area with pre-existing fence (on one side)

Required:

The equation David should use to maximize the area.

Solution:

Let x represent the width of the area (the sides perpendicular to the pre-

existing fence), and let y represent the length of pre-existing fence

We have;

Length of fencing available = Opposite side to pre-existing fence + 2 × Width of the area

Opposite side to pre-existing fence = Length of pre-existing fence

Which gives;

Length of fencing available = Length of pre-existing fence + 2 × Width of the area

400 = y + 2·x

y = 400 - 2·x

Area = Length × Width

Which gives;

Area = y × x

Area as a function of x is therefore;

Area, f(x)= (400 - 2·x) × x

Which gives;

The correct option is therefore;

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Answer:

x = 10

Step-by-step explanation:

Isolate the variable and get x by itself

4x^2 -400 = 0      add 400 to both sides

4x^2 = 400     divide both sides by 4

x^2 = 100.      take the square root of both sides

x = 10

Answer:

The answer is A. AN ESTIMATE OOF THE AVERAGE GRAMS OF SALT USED IN 2012.

Step-by-step explanation:

This picture explains everything:

An estimate of the average grams of salt used in 2012.

Given the values are:

Year  Annual Salt Intake

              (grams)

2012      3,554

2013       3,598

2014       3,603

2015       3,655

2016       3,718

2017        3,794

Here, we have to find the significance value of 3,548.

f(x) = 52.3x + 3,548

x - number of years

If x = 0,

f(0) = 52.3 (0) + 3,548

     = 3,548.

Thus, it is found that it was an estimate of the average grams of salt used in 2012.

So, Option A is the correct answer.

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If you multiply all of them you would get 787 so your answer would be C.

It would be 787

Answer:

8g³

Step-by-step explanation:

(2g)³ = 2³·g³

Answer:

8

Step-by-step explanation:

The square root of 64 is 8

Answer:

8

Step-by-step explanation:

The square root of 64 is 8

8 * 8 = 64

Hope this helps!

Answer:

C. x=12

Step-by-step explanation:

Angles in a triangles add up to 180 degrees. We are given that one angle is a right angle which means it's 90 degrees so...

2x+1+5x+5+90=180

Add like terms

96+7x=180

Subtract 96 from both sides

7x=84

Divide both sides by 7

x=12

Answer:

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

Answer:

6 m

Step-by-step explanation:

Side = x

Surface area = [tex]6x^2[/tex]

[tex]6x^2 = 216[/tex]

[tex]x^2 =36[/tex]

x = 6

The answer is 6m

Hope this helps :)

Have a nice day!

The side length of the cube is calculated as 6m

Data;

The surface area of a cube is given as

[tex]A = 6x^2[/tex]

This indicates all the six sides in the cube.

Let's substitute the values and solve for x

[tex]A = 6x^2\\216 = 6x^2\\\frac{216}{6} =\frac{6x^2}{6} \\x^2 = 36\\x= \sqrt{36} \\x = 6[/tex]

The side length of the cube is calculated as 6m

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Answer:

14

Step-by-step explanation:

20-x=6

20-14=6

hope this will help you

Answer:

The answer is ' A '

Step-by-step explanation:

:D

The inverse of the matrix will be [tex]\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex]. The correct option is A.

A matrix is a rectangular array or table of numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a property of such an object in mathematics. For instance, consider a matrix with two rows and three columns.

Given that the matrix is [tex]\left[\begin{array}{cc}3&-2\\-10&9\\\end{array}\right][/tex]. The inverse of the matrix can be solved as below,

[tex]A^{-1} = \dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]

[tex]A^{-1} = \dfrac{1}{3\times9-20}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]

[tex]A^{-1} = \dfrac{1}{7}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]

[tex]A^{-1}=\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex].

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Answer:

[tex]2,712 \: {yd}^{2} [/tex]

Step-by-step explanation:

Height of cylinder (h) = 24 yd

radius of cylinder (r) = 6 yd

Lateral surface area of the cylinder

[tex] = \pi {r}^{2} h \\ \\ = 3.14 {(6)}^{2}(24) \\ \\ = 2,712.96 \: {yd}^{2} \\ \\ \approx \: 2,712 \: {yd}^{2} [/tex]

Answer:

Approximately Normal

Step-by-step explanation:

The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.

Answer:

39.5

Step-by-step explanation:

Open the bracket by multiplying the numbers in the bracket by 2

2x-20=59

collect like terms(-20 crossing over the equal sign will become +20

2x=59+20

2x=79

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{79}{2}[/tex]

x=39.5

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: \: [/tex]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

[tex].75d+1.25g=21.00\\d+g=22[/tex]

I prefer to solve using substitution, but elimination can be used as well

[tex].75d+1.25g=21.00\\g=22-d[/tex]

We can now plug in this g value to the first equation

[tex].75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13[/tex]

This means mary bought 13 delicious apples. She bought 22 apples in total,  so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Let me know if you have any questions! Spread the love.

Answer:

B, D, and F

They match the graph

Answer:

3.4h-2.7d-16

Step-by-step explanation:

Before we even start, we can already simplify some things

For example, in this equation it says +(-7.7d)

We can simplify this to 6h-7.7d-16+5d-2.6h

Now we have to get all of the common variables together

So the d’s and h’s have to be combined together in this equation

This makes a new equation of 3.4h-2.7d-16

That is our answer!

Answer:

A=x²+6x+8

Step-by-step explanation:

Answer:  A=x²+6x+8

Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula.  is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.

John now has X - 3

and splits the remainder equally between himself and his brothers

Each of the brothers now has (X-3)/3 apples (we have to assume here that Jack and Jim didn't have any apples to begin with).

Jack and John both eat half of the apples they have been given

They now have (X-3)/3/2, or just (X-3)/6

Together the three brothers have 4 apples left

Now we say 4 = (X-3)/3 (Jim) + (X-3)/6 (Jack) + (X-3)/6 (John)

From here it's algebra. A nice trick we can do here is to add (X-3)/6 + (X-3)/6 together first, since they have the same denominator:

4 = (X-3)/3 + (X-3)/3

From there we can do the same trick, since now we have two terms that are both something/3:

4 = 2(X-3)/3

Multiply both sides by 3, divide both sides by 2:

6 = X - 3

Add 3 to both sides

9 = X

Answer:

8 or 9

Step-by-step explanation:

John eats 3 gives brothers and himself the remainder they both eat half and both halves are left making it 1 so add up to how much was eaten 3+1=4 and they have 4 left making it 8.  Or just say x-3-1=4 and x=8. It can also be 9 so hopefully, someone else answers because if we add the halves remaining to the altogether it becomes 9 instead. Hope it's right and makes sense.

Answer:

• This student received Met because the student stated that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number.  The student stated that the 4 in Delilah’s number is one tenth the value of the 4 in Danny’s number.  The student stated that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.

This student received Progressing because the student correctly stated that Danny’s number was ten times bigger.  The student also stated that the 4 in Delilah’s number is ten times smaller.  The student stated the value of the digit 7 without referring to how the values compared.

Step-by-step explanation:

hope this helps :) (:

One possible amount the could have paid for furniture is $340,500.

Since the Lopez family pay a price of $345,800 for their new home, and also pay an amount for the furniture in which the digit 5 is exactly 10 times less than it is in the amount they paid for the house.

Since they paid $345,800 for their home and the digit 5 in this amount is in the thousands place, that is 5000.

In the amount paid for the furniture, the digit 5 is exactly 10 times less than in the amount paid for their home.

So, the place of the digit 5 in the amount paid for the furniture is thus 5000 ÷ 10 = 500.

So, the digit 5 is in the hundreds place.

With that in mind, replacing the 8 in the hunderds place in $345,800, one possible amount the could have paid for furniture is $340,500.

So, one possible amount the could have paid for furniture is $340,500.

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The principal investment required to get a total amount of $240,000.00 from compound interest at a rate of 4.6% per year compounded 12 times per year over 20 years is $95,812.95.

Given Data

Interest Rate r= 4.6%

Final Amount A =  $240,000

Time T = 20 years

Answer:

P = $95,812.95

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 4.6/100

r = 0.046 per year,

Then, solve the equation for P

P = A / (1 + r/n)^nt

P = 240,000.00 / (1 + 0.046/12)^(12)(20)

P = 240,000.00 / (1 + 0.003833333)^(240)

P = $95,812.95

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