Solve the quadratic equation

Answer:

[tex]y+1=32(x-6)[/tex]

Step-by-step explanation:

Solution is attached

Recall that for |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{k=0}^\infty x^k[/tex]

It follows that, for |-x²| = |x|² < 1, or just |x| < 1,

[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{k=0}^\infty (-x^2)^k = \sum_{k=0}^\infty (-1)^k x^{2k}[/tex]

Taking the antiderivative of both sides gives us

[tex]\displaystyle \arctan(x) = C + \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} x^{2k+1}[/tex]

where C is a constant, which we determine to be 0, since taking x = 0 on both sides makes the series vanish, while arctan(0) = 0 since 0 = tan(0). So

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

Since tan(π/4) = 1, it follows that π/4 = arctan(1), so in the series we replace x = 1, then solve for π :

[tex]\displaystyle \arctan(1) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} 1^{2k+1}[/tex]

[tex]\displaystyle \frac\pi4 = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1}[/tex]

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

[tex]\pi = 4 - \dfrac43 + \dfrac45 - \dfrac47 +\cdots[/tex]

Answer:

 81.509 =

 80  

+ 1  

+   0.5

+   0.00

+   0.009

Expanded Factors Form:

   81.509 =

 8 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 0 ×   0.01

+ 9 ×   0.001

Expanded Exponential Form:

 81.509 =

8 × 101

+ 1 × 100

+ 5 × 10-1

+ 0 × 10-2

+ 9 × 10-3

Answer:

x=6

Step-by-step explanation:

I don't know if you are solving for x but x=6

9(8 - x) = 3x

Multiply 9x8 and 9-x

72 - 9x = 3x

Add the 9x

72 = 3x + 9x

Add 3x+9x

72 = 12x

Divide 12x/12 and 72/12

12x/12 = 72/12

x = 6

Answer:

9(8 - x) - 3x

⇛72 - 9x - 3x

⇛72 - 12x

⇛12x = 72

⇛x = 72/12

Therefore, x = 6. Ans.

Answer:

It depends

Step-by-step explanation:

There is no data included, but if a triangle contains a 90 degree angle, it is right.

Answer:

f(x)=-13

Step-by-step explanation:

Substitute x with -2

4 times -2 is -8

-8-5 is -13

Thus f(x)=-13

Hope this helps!

Answer:

d.29

Step-by-step explanation:

10/3 * 87/10 = 870/30

simplify & get 29

Answer:

x=-44

Step-by-step explanation:

y=22 x=-11

y=88 x=?

y/x=22/-11=-2

88/x=-2

-2x=88

x=-44

Answer:

I would help if i remembered how to do this sorry

Step-by-step explanation:

GL!!

Answer:

y=203

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

The gradient of a line can be defined by the equation:

m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript

For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):

x2 = -7, y2 = -6

Plug these values into the formula above:

m = (y-(-6)) ÷ (x-(-7))

m = (y+6) ÷ (x+7)

At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.

x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:

y = x-7 ---> The gradient (coefficient of x) is 1.

Therefore, the gradient of the other parallel line must also be 1.

This can be substituted into the previous equation to give:

1 = (y+6)÷(x+7)

x+7 = y+6

x+1 = y

Therefore, the answer is y=x+1

Answer:

9.6

Step-by-step explanation:

4.8 x 2 = 9.6

 ₁ 4.8

x    2

----------

   9.6

Or

4 x 2 = 8

0.8 x 2 = 1.6

8 + 1.6 = 9.6

Answer:9.6

Answer:

2/3 x -2 1/4 = -1.5

1.5 x 1 1/2 = 2.25

Answer:

9/4

Step-by-step explanation:

2/3 × -2 1/4 - 1 1/2

=2/3 × -9/4 × -3/2

=9/4

Answer:

I think 24

Step-by-step explanation:

In this

2y=48x

_______

2 2

Y=24x

This might help you

Answer:

         __

[tex]\large\boxed{\mathfrak{0.08333}}[/tex]

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Subtract negative is addition: -1/3 - (-5/12) = -1/3 + 5/12

1/3 = 4/12

-4/12 + 5/12 = 1/12

#size A

1 fluid ounce:-

[tex]\\ \sf\longmapsto \dfrac{2.56}{32}=0.08[/tex]

#Size X

1 fluid ounce

[tex]\\ \sf\longmapsto \dfrac{4.80}{48}=0.1[/tex]

We can see

0.08<0.1

Answer:

it is not a fair game since omar has 1/2 chance to win, kaitlyn has a 1/3 chance, and tynessa has a 1/6 chance

Step-by-step explanation:

Answer:

Yes it does the factors of 62 include 1, 2, 31, 62.

Step-by-step explanation:

Hope this helps you :)

Have an amazing day <3

Answer:6

Step-by-step explanation:48 DividEd bg 8 is 6

Answer:

x=4

Step-by-step explanation:

2(10 -6x)=x -8x

Multiply 2*10 and 2*-6x

20-12x=x-8x

Add 12x

20=x-8x+2x

Combine x and -8x

20=-7x+12x

Combine -7x and 12x

20=5x

Divide 5x/5 and 20/5

4=x

So x=4

The solution to the equation is x = -4.

To solve the equation 2(10 - 6x) = x - 8x, you can follow these steps:

1. Distribute the 2 to the terms inside the parentheses:

  20 - 12x = x - 8x

2. Simplify the expressions on each side by combining like terms:

  20 - 12x = -7x

3. Move all the x terms to one side and the constant terms to the other side by adding or subtracting:

  -12x + 7x = 20

  Simplifying further, we have:

  -5x = 20

4. Divide both sides of the equation by -5 to solve for x:

  x = 20 / -5

  x = -4

Therefore, the solution to the equation is x = -4.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

Answer:

B

Step-by-step explanation:

Answer: The answer is A.

Step-by-step explanation:

A/C + B/C = A/B | +C  

Step-by-step explanation:

look at the photo...............

Answer:

£1092.96

Step-by-step explanation:

Amount of money Brian has after 2 years

= 2(5.2% × £990) + £990

= £102.96 + £990

= £1092.96

Answer:

2 and 4 are the medians

Step-by-step explanation:

Answer:

51.8mph

Side note: Caroline isn't human. Walking almost 52 miles per hour is humanly impossible

Hope I helped! ☺