Rational function
g(x) = 1 / (x-3) +2
Find x and y intercepts
Graph

Step-by-step explanation:

John ran 3 miles this week.

Jane ran 10 times as far as John this week :

10×3 = 30 miles

but she ran this week 8 fewer miles than last week. in other words, last week she ran 8 miles more than this week :

30 + 8 = 38 miles.

so, last week she ran 38 miles.

Answer:

first term = 3

Step-by-step explanation:

The n th term of a GP is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here r = 3 and a₅ = 243 , thus

a₁ × [tex]3^{4}[/tex] = 243

a₁ × 81 = 243 ( divide both sides by 81 )

a₁ = 3

Answer:

x=-15

y= 65

Step-by-step explanation:

I explain the answer of the question in the photo

Answer: Any number in the first sequence is two times the second.

Step-by-step explanation: Mark me as brainiest!

Answer:

R0, 180°

(x, y) → (–x, –y)

Step-by-step explanation:

Knowing that:

The coordinates of ΔXYZ is x '(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' is x'(2, -2), Y'(-1, -1), Z'(0, -4)

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

transformation by rotation 180° about the origin.

Solve:

R0, 180°

(x, y) → (–x, –y)

~Lenvy~

Answer: R0, 180° and (x, y) → (–x, –y)

Step-by-step explanation: On Edge!!

Step-by-step explanation:

I hope this will help....

Answer:

80 inches

Step-by-step explanation:

12 x 7=34

23 x 2=46

34+46=80 inches

Answer:

34

Step-by-step explanation:

cause you had to doit the simple math problem

are you trying to prank on this problem

the answer is 5 because I got it correct on a quiz

Answer:

24 (not sure)

Step-by-step explanation:

36 - 8 = 24

im not sure if this is what the question is asking for.

Answer:

22 ok i eo

Step-by-step explanation:

ok i will explaim

Answer:

nothing

Step-by-step explanation:

If you are translating entire triangle, then translating doesn't influence the area. It's just going to change where the triangle is located not its size

Rewrite the factorial parts of the summand as

[tex]\dfrac{(2n+1)!}{n!(n+2)!} = \dfrac{(2n+1)(2n!)}{(n+2)(n+1)(n!)^2} = \dfrac{2n+1}{(n+2)(n+1)} \dbinom{2n}n[/tex]

where [tex]\binom nk[/tex] is the binomial coefficient, and [tex]\binom{2n}n[/tex] are the so-called central binomial coefficients.

Expand the rational expression into partial fractions:

[tex]\dfrac{2n+1}{(n+2)(n+1)} = \dfrac3{n+2} - \dfrac1{n+1}[/tex]

Pull out a constant factor and collect the exponential terms.

[tex]\dfrac{(-1)^{n+1}}{4^{2n+3}} = -\dfrac1{64} \left(-\dfrac1{16}\right)^n[/tex]

The sum we want is now

[tex]\displaystyle \frac{13}8 - \frac1{64} \sum_{n=0}^\infty \binom{2n}n \left(\frac3{n+2} - \frac1{n+1}\right) \left(-\frac1{16}\right)^n[/tex]

Let f(x) and g(x) be functions with power series expansions

[tex]\displaystyle f(x) = \sum_{n=0}^\infty \binom{2n}n \frac{x^n}{n+1}[/tex]

[tex]\displaystyle g(x) = \sum_{n=0}^\infty \binom{2n}n \frac{x^n}{n+2}[/tex]

and recall the well-known binomial series

[tex]\displaystyle \dfrac1{\sqrt{1-4x}} = \sum_{n=0}^\infty \binom{2n}n x^n[/tex]

which converges for |x| < 1/4.

Integrating both sides yields

[tex]\displaystyle \int \frac{dx}{\sqrt{1-4x}} = \int \sum_{n=0}^\infty \binom{2n}n x^n \, dx[/tex]

[tex]\displaystyle -\frac12 \sqrt{1-4x} = C_1 + \sum_{n=0}^\infty \binom{2n}n \frac{x^{n+1}}{n+1}[/tex]

Taking x = 0 on both sides, it follows that C₁ = -1/2. We then see that

[tex]\displaystyle f(x) = \frac{1-\sqrt{1-4x}}{2x}[/tex]

Step back and multiply both sides of the binomial series identity by x, then integrate. This yields

[tex]\displaystyle \int \frac x{\sqrt{1-4x}} \, dx = \int \sum_{n=0}^\infty \binom{2n}n x^{n+1} \, dx[/tex]

[tex]\displaystyle -\frac1{12} \sqrt{1-4x} (1 + 2x) = C_2 + C_1 x + \sum_{n=0}^\infty \binom{2n}n \frac{x^{n+2}}{n+2}[/tex]

Taking x = 0 again points to C₂ = -1/12. Hence

[tex]\displaystyle g(x) = \frac{1 - \sqrt{1-4x}(1+2x)}{12x^2}[/tex]

Then the value of the sum we want is

[tex]\displaystyle \frac{13}8 - \frac1{64} \left(3g\left(-\frac1{16}\right) - f\left(\frac1{16}\right)\right) = \frac{1+\sqrt5}2 = \boxed{\phi}[/tex]

where ɸ ≈ 1.618 is the golden ratio.

Answer:

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

By the order of operations, we should first calculate the expression in the parentheses:

= 3 - 4 (- 6)

Next, we calculate the expression being multiplied:

= 3 + 24

Lastly, we add the two terms:

= 27

Using the given order operations to solve for the given operation, we have the answer as; 27

We are given the expression;

3 - 4(-2 - 4)

From mathematical operation acronym titled BODMAS, we need to first solve what we have in the bracket and so we get;

3 - 4(-6)

Secondly we multiply out the bracket to get;

3 + 24

We now add to get 27

Read more about Mathematical Operations at; https://brainly.com/question/16788360

Answer:

1/3 X 15 = 5

Step-by-step explanation: Hope this helps

Answer:

Step-by-step explanation:

Use below compound interest formula and the given data.

F- future amount, P- invested amount, r - interest rate, n - number of compounds, t- time

Given:

Find the amount after 3 years:

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta =75 \end{cases}\implies s=\cfrac{(75)\pi (7)}{180}\implies s=\cfrac{35\pi }{12}\implies s\approx 9.2[/tex]

Answer:

a)8x+6y

b)4x+2y

Step-by-step explanation:

a)5x+3x+2y+4y

5x+3x=8x

2y+4y=6y

=8x+6y

b)6x-2x+8y-6y

6x-2x=4x

8y-6y=2y

=4x+2y

Answer:

a) x = -0.75y

b) x = -0.5y

Step-by-step explanation:

Simplifying

5x + 3x + 2y + 4y = 0

Combine like terms: 5x + 3x = 8x

8x + 2y + 4y = 0

Combine like terms: 2y + 4y = 6y

8x + 6y = 0

Solving

8x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

8x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

8x + 0 = 0 + -6y

8x = 0 + -6y

Remove the zero:

8x = -6y

Divide each side by '8'.

x = -0.75y

Simplifying

x = -0.75y

Simplifying

6x + -2x + 8y + -6y = 0

Combine like terms: 6x + -2x = 4x

4x + 8y + -6y = 0

Combine like terms: 8y + -6y = 2y

4x + 2y = 0

Solving

4x + 2y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

4x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0

4x + 0 = 0 + -2y

4x = 0 + -2y

Remove the zero:

4x = -2y

Divide each side by '4'.

x = -0.5y

Simplifying

x = -0.5y

Answer:

55

Step-by-step explanation:

Answer:

The measure of the angles are 61° and 119°

Step-by-step explanation:

Let the first angle = x°

let the second angle = y°

The sum of two supplementary angles = 180°

x° + y° = 180° ----- equation (1)

based on the given question; "the difference of two supplementary angles is 58 degrees."

x° - y° = 58° ------- equation (2)

from equation (2), x° = 58° + y°

Substitute the value of x into equation (1)

(58° + y°) + y° = 180°

58 + 2y = 180

2y = 180 -58

2y = 122

y = 122 / 2

y = 61°

The second angle is given by;

x° = 58° + y°

x = 58° + 61°

x = 119°

Thus, the measure of the angles are 61° and 119°

9514 1404 393

Answer:

  255

Step-by-step explanation:

If the sum of digits is 12, the number is divisible by 3. If the number ends in 0 or 5, it is divisible by 5. So, we're looking for ...

  2x0 . . . where x is a digit and 2+x+0 = 12 . . . . . . not possible

  2x5 . . . where x is a digit and 2+x+5 = 12 . . . . true for x=5

The number is 255.

Answer: 3/10

Step-by-step explanation: You need to make it where all of the denominators match.

1/2 = 5/10

1/5 = 2/10

5/10+2/10=7/10

7/10+3/10=10/10

Answer:

C

Step-by-step explanation:

Hello!

In the equation y=a cos bx, we can learn alot about the cosine graph.

a is the amplitude, or how 'long' the cosine graph is.

b is the period, which is how 'wide' one cycle of a cosine period can be. The higher the period, the wider the cycle is.

In this equation, we are focused on finding the period; so any choices that contain amplitude is not a correct answer choice for this problem, which leaves out B and C.

To find the period, we can plug b into [tex]\frac{2\pi }{b}[/tex] , which in a way converts the b value to a period.

For B) y= cos3x

[tex]\frac{2\pi }{3}[/tex]= it does not equal 3 [tex]\pi[/tex]

For C) y=cos [tex]\frac{2}{3}[/tex]x

[tex]\frac{2\pi }{\frac{2}{3}}[/tex]= equals 3 [tex]\pi[/tex] when simplified

Since C equals 3 [tex]\pi[/tex] as a period, C is the only logical answer.

Answer:

602 r. 2

Step-by-step explanation:

Answer:

y= -3x+16 I'm pretty sure its right