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2 years ago

I need a solution on how to do this!!!! simplify fully

Mathematics

2 answers:

Nesterboy [21]2 years ago

8 0

Answer:

$\frac{x-5}{x-7}$ is the answer

Step-by-step explanation:

$\frac{x^{2}-2x -15 }{ x^{2}-4x-21}$

Factorising,

$\frac{x^{2}-5x+3x-15}{x^{2}-7x+3x-21 }$

$\frac{x(x-5)+3(x-5)}{x(x-7)+3(x-7)}$

$\frac{(x+3)(x-5)}{(x+3)(x-7)}$

$\frac{x-5}{x-7}$

kirill115 [55]2 years ago

4 0

Answer:

$\frac{x-5}{x-7}$

Step-by-step explanation:

Given

$\frac{x^2-2x-15}{x^2-4x-21}$ ← factor numerator and denominator

= $\frac{(x-5)(x+3)}{(x-7)(x+3)}$ ← cancel (x + 3) on numerator and denominator

= $\frac{x-5}{x-7}$

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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

Does anybody know the answer???

Rasek [7]

Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

6 0

3 years ago

Read 2 more answers

Solve 100y + 50x = 200

liq [111]

The answer to your question is x=-2y+4

7 0

3 years ago

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One Solution, Many (infinite) solutions, No solutions.

tensa zangetsu [6.8K]

Answer:

System A the answer is: One solution

System B the answer is: Many infinite solution

System C the answer is: No solution

Step-by-step explanation:

Hope this helps you :)

3 0

3 years ago

A phone company charges a monthly rate of $28 plus an extra fee for each minute of long-

kiruha [24]

Answer:

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2 years ago