Solve this equation by completing the square 2 −12 + 36 = 44. Show your work. No other method will be accepted

Answer:

Step-by-step explanation:

Given:

Use the given formula and find d:

By the ratio test, the first series converges if

[tex]\displaystyle \lim_{k\to\infty} \left|\frac{\frac{x^{k+1}}{k+10}}{\frac{x^k}{k+9}}\right| = |x| \lim_{k\to\infty} \frac{k+9}{k+10} = |x| < 1[/tex]

while the second series converges if

[tex]\displaystyle \lim_{k\to\infty} \left|\frac{(k+1)(k+5)x^{k+1}}{k(k+4)x^k}\right| = |x| \lim_{k\to\infty} \frac{k^2+6k+5}{k^2+4k} = |x| < 1[/tex]

So as long as |x| < 1, we have

[tex]\displaystyle h(x) = -(x+4) f(x) + 7x^2 g(x)[/tex]

Distribute f(x) :

[tex]\displaystyle h(x) = -x f(x) - 4 f(x) + 7x^2 g(x)[/tex]

Substitute f and g with their series representations:

[tex]\displaystyle h(x) = -x \sum_{k=0}^\infty \frac{x^k}{k+9} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7x^2 \sum_{k=0}^\infty k(k+4)x^k[/tex]

Simplify the powers of x :

[tex]\displaystyle h(x) = -\sum_{k=0}^\infty \frac{x^{k+1}}{k+9} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7 \sum_{k=0}^\infty k(k+4)x^{k+2}[/tex]

Shift the index in each sum as needed so that each one is written in terms of [tex]x^k[/tex] :

[tex]\displaystyle h(x) = -\sum_{k=1}^\infty \frac{x^k}{k+8} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7 \sum_{k=2}^\infty (k-2)(k+2)x^k[/tex]

Pull out as many terms as needed from each sum so that they each start with the same index:

[tex]\displaystyle h(x) = -\left(\frac x9 + \sum_{k=2}^\infty \frac{x^k}{k+8}\right) - 4 \left(\frac19 + \frac x{10} + \sum_{k=2}^\infty \frac{x^k}{k+9}\right) + 7 \sum_{k=2}^\infty (k-2)(k+2)x^k[/tex]

Condensing the series gives

[tex]\displaystyle h(x) = -\frac49 - \frac{23}{45}x + \sum_{k=2}^\infty \left(7(k-2)(k+2)-\frac1{k+8} - \frac4{k+9}\right)x^k[/tex]

So, if

[tex]\displaystyle h(x) = \sum_{k=0}^\infty c_kx^k = c_0 + c_1x + c_2x^2 + \cdots[/tex]

then it follows that

[tex]c_0 = -\dfrac49[/tex]

[tex]c_1 = -\dfrac{23}{45}[/tex]

and for k ≥ 2,

[tex]c_k = \displaystyle 7(k-2)(k+2)-\frac1{k+8} - \frac4{k+9}[/tex]

Answer:

Square

9

9 in both boxes

2

[tex]\sqrt{11}[/tex]

Step-by-step explanation:

Answer:

Here's how I'd do it.

Step-by-step explanation:

Answer:

1/200????????????????

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

6m-7 :m=12

6(12)-7

6x12=72

72-7=65

Therefore your answer is 65.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{6m - 7}[/tex]

[tex]\huge\textsf{= 6(12) - 7}[/tex]

[tex]\huge\textsf{= 72 - 7}[/tex]

[tex]\huge\textsf{= 65}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{65}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

4485

Step-by-step explanation:

1679+2806= 4485

Hope this helps! :)

Answer:

5

Step-by-step explanation:

The question is basically saying 3 + 2 which equals 5

Hello gonzaleznoah570!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \tt\frac{48}{16} = \frac{ \boxed{}}{8} \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Let's take the value inside the box as 'x'. So, now our equation becomes...

[tex] \tt \: \frac{48}{16} = \frac{x}{8} \\ [/tex]

Now, using cross multiplication, solve it.

[tex] \tt \: \frac{48}{16} = \frac{x}{8} \\ \tt \: 48 \times 8 = 16 \times x \\ \tt \: 384 = 16x \\ \tt \frac{384}{16} = x \\ \boxed{\boxed{ \bf \: 24 = x}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hello There!

Question:-

Find the unknown value

Equation Given:-

[tex]\sf \dfrac{48}{16} = \dfrac{\boxed{}}{8} [/tex]

Solution:-

Let's us assume that the value of the unknown number be b.

The Equation would be :-

[tex]\sf \longmapsto \: \dfrac{48}{16} = \dfrac{b}{8} [/tex]

Firstly, Cross multiply :-

[tex]\sf \longmapsto \: (48)*(8)=b*(16)[/tex]

On Simplification of this equation :-

[tex]\sf \longmapsto384 = b*(16)[/tex]

[tex]\sf \longmapsto384 = 16b[/tex]

Overturn The equation given :-

[tex]\sf \longmapsto16b = 384[/tex]

Divide both sides by 16 :-

[tex]\sf \longmapsto \: \dfrac{16b}{16} = \dfrac{384}{16} [/tex]

On Simplification of this equation :-

Cancel 16 and 16, Result is 1b, which equals to b.

[tex]\sf \longmapsto \dfrac{ \cancel{16}b}{ \cancel16} = \dfrac{384}{16} [/tex]

Then cancel 384/16, which results to 24.

[tex]\sf \longmapsto \: b = \cancel\dfrac{384}{16} [/tex]

[tex]\sf \longmapsto \: b = 24[/tex]

Put the value of b (24) on 48/16 = b/8 :-

[tex]\sf \longmapsto \: \dfrac{48}{16} = \dfrac{24}{8} [/tex]

______________________________________

Henceforth,The unknown value is 24.

[tex]\boxed{ \bf \: \dfrac{48}{16} = \dfrac{24}{8} }[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

Answer:

h=2πr

Step-by-step explanation:

h=s-2πr^2;h=s-r^2;h=s-r:2πr

Answer:

5x^2+x+1

Step-by-step explanation:

Answer:

0.12

Step-by-step explanation:

6 times 2 = 12

12/100 = 0.12

The solution is Option A

The relative frequency of the left handed people in the group is given by the equation A = 0.12

What is relative frequency?

A relative frequency is the ratio (fraction or proportion) of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes.

The relative frequency formula is given as:

Relative Frequency = Subgroup frequency / Total frequency

Given data ,

Let the relative frequency of the left handed people be A

Now , the equation will be

The total number of people = 50 people

The number of people in the group who were left handed = 6 people

So ,

The relative frequency of the people who were left handed A = number of people in the group who were left handed / total number of people

Substituting the values in the equation , we get

Relative frequency of the left handed people A = 6 / 50

Relative frequency of the left handed people A = 0.12

Therefore , the value of A is 0.12

Hence , the relative frequency is 0.12

To learn more about relative frequency click :

https://brainly.com/question/29739263

#SPJ2

Answer:

the answer to 5/8 x - 3/5 is -3/8

Answer:

2 + 2 + 3 + 3 + (4 x 4 x 5 x 6 x 7 x 8 x 9 x 0) = 10

Step-by-step explanation:

To solve this problem, you would have to multiply zero, which would make your equation 2 + 2 + 3 + 3, therfore 2 + 2 + 3 + 3 = 10.

2 + 2 + 3 + 3 + (4 x 4 x 5 x 6 x 7 x 8 x 9 x 0) ➜ 2 + 2 + 3 + 3 = 10

Answer:

10

Step-by-step explanation:

[tex]\\ \sf\longmapsto 5(100)+8(10)+9(1)+2(1/10)+3(1/1000)[/tex]

[tex]\\ \sf\longmapsto 500+80+9+2/10+3/1000[/tex]

[tex]\\ \sf\longmapsto 589+0.2+0.003[/tex]

[tex]\\ \sf\longmapsto 589.203[/tex]

Answer:

C

Step-by-step explanation:

same amount of lavender but less rose petals. makes the concentration of lavender larger

I think its C. It should be.

Answer:

C

Step-by-step explanation:

If you graph y=4x-8, you'll see that

1. The y-intercept is at -8 (where the line intersects the y-axis)

2. The rate of change (or slope) is 4 (for every 1 unit you move to the right, the line goes up 4 units)

The graph shown has a y-intercept at -6, and the slope is 10.

So the function shown on the graph has a greater rate of change (10 vs 8) and a higher y-intercept (-6 vs -8)

Answer: g(x) -1/2fx-1

Step-by-step explanation: Pretty much you distribute the 1/2f to the x and the 2 then you got you function.

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The values of k for the points given are -5 or +5. This eliminates choices A and C. The corresponding values of h are -2 and +2, so the equations you're looking for are ...

  y +5 = 2.5(x +2) . . . . choice D

  y -5 = 2.5(x -2) . . . .  choice B

Answer: calculator boi

Step-by-step explanation:

Answer:

students should use the monthly payment provided if no down payment is made to find the total amount she'll pay over the course of her loan.

Step-by-step explanation:

Edmentum Financial Math Unit3 Activity on yt 20:58

Answer: Yes, it is worth putting the down payment down as it ends up saving her  roughly $865.60.

Step-by-step explanation:

Yes, I think it was worth saving up to put a down payment down. I think this because over time it lowered her interest rate causing her to safe roughly just under a thousand dollars. Without the down payment she would have payed a little under 25 thousand dollars, but with the down payment she is now instead paying a total of just under 24 thousand dollars. I found this out from multiplying the amount she was paying per month based off of if it was with or without a down payment ($412.22 per month without the down payment, and 314.46 per month with the down payment of 5000 dollars) then I would multiply those numbers by 12 and then 5. 12 representing the amount of months per year she is paying and the 5 representing the total amount of years it will take to have it payed off. If it has to be exact though, then the exact dollar amount that the with down payment and without the down payment would be $865.60. That number represents the total she saved when making the down payment after the five years.

Answer:

12/32 or 3/8 or 37.5%

Step-by-step explanation:

Answer:

2. $360

Step-by-step explanation:

8x20=$160

10x20=$200

160+200=$360

Sorry for not answering part 1. but hope this helpsss

Answer:

90 degree

Step-by-step explanation:

Answer:

right angles is the answer

Answer:

15 sides

Step-by-step explanation:

all exterior angles of any polygon add to 360 degrees

so if you divide 360 by 24, then you will find the number of sides

360/24 = 15

Answer:

12 minutes

Step-by-step explanation:

First we need to look at the change in the two temperatures:

86.6-80.8= 5.8

Next we know that every minute the temperature drops half of a degree so we will find how many minutes until it reaches 80.8:

5.8/0.5= 11.6

Round the answer up to 12 minutes to have a whole number and the pool will be at 80.8 degrees or lower in 12 minutes.

Answer:

-4/5, -3/7, 1/4, 2/3

Step-by-step explanation:

We already know that the negative fractions are less then the positive ones. So we can start with the negative fractions: We want to make them have the same denominator. For that we just multiply the current denominators:

5 × 7 = 35.

Then we multiply the numerator by the other fractions denominator for the fraction to remain still the same:

4 × 7 = 28

5 × 3 = 15

Now the fractions are:

-28/35 and -15/35. Because they are negative the ones with bigger numerators are less.

Then we do the same with the positive fractions:

3 × 4 = 12

1 × 3 = 3

2 × 4 = 8

8/12 and 3/12.

‘Then we can order them:

-28/35, -15/35, 3/12, 8/12

-4/5    , -3/7     , 1/4  , 2/3

Answer:

Radius = 11.9cm

Circumference: 74.73cm

Answer:

A

Step-by-step explanation:

A. 1) 27.5 > 27.492 (5 > 4)

2) 8.10 = 8.1 (0s after the decimal point have no value)

3) 2.098 < 2.904 (0 < 9)

B. 1) 4.0 < 4.001 < 4.011 < 4.101

2) 0.0089 < 0.012 < 0.0189 < 0.09

3) 3.021 < 3.12 < 3.121 < 3.21

C. 1) 0.1 < 0.99

2) 4.07 > 4.017

3) 10.07 > 10.067

4) 1.0 < 1.01

______

Comment if you've doubts!

RainbowSalt2222 ☔