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2 years ago

Is a/b +b/c rational number

Mathematics

1 answer:

Anarel [89]2 years ago

3 0

Answer:

Yes.

Step-by-step explanation:

Yes.

Assuming a, b and c are integers (not = 0)

a/b + b/c

= (ac + b^2) / bc which is a rational number.

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The ratio of savings to expenditure is 2:8 find the savings if the expenditure is 24,000

WITCHER [35]

Answer:

the savings is 6000

Step-by-step explanation:

We are told that the ratio of savings to expenditure is 2: 8, that is, that person saves 2 when he spends 8.

They tell us to find the savings when the cost is 24,000, so we are left with:

24000 * 2/8 = 6000

which means that when 24000 are spent the savings is 6000

6 0

2 years ago

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

If - 3- 12, what is the value of x? 4 00 O 18 0 24

malfutka [58]

Answer:

Step-by-step explanation:

$\frac{2}{3}$ = $\frac{x}{12}$

We make the denominator the same by multiplying $\frac{2}{3}$ by 4.

$\frac{8}{12}$ = $\frac{x}{12}$

Thus, x = 8.

6 0

2 years ago

Pls help me solve this pls show how you got the answer

Rudiy27

Answer:

my answer is in this picture.

5 0

3 years ago

Help w this pls!!!! 20 points

cluponka [151]

You forgot to attach the question…

5 0

2 years ago

Is a/b +b/c rational number​

Is a/b +b/c rational number