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4 years ago

Which expression is equivalent to (Negative 4 y minus x) minus (3 y minus 9 x)?

Mathematics

2 answers:

Aleksandr [31]4 years ago

5 0

Answer:

3.7

Step-by-step explanation:

Bogdan [553]4 years ago

4 0

Answer:

Step-by-step explanation:

The given expression is

$(-4y-x)-(3y-9x)$

To find the equivalent expression, we have to reduce like terms as follows

$(-4y-x)-(3y-9x)\\-4y-x-3y+9x\\-4y-3y-x+9x\\-y(4+3)-x(1-9x)\\-7y+8x$

So, the equivalent expression is

$(-4y-x)-(3y-9x)=-7y+8x$

Therefore, among the options, the right choice is the second one.

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Which number is equivaltent to 47/9

ella [17]

5.2222 if you want it as a percentage it is 522.22%

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3 years ago

Find the derivative of f(x)= (e^ax)*(cos(bx)) using chain rule

Vikentia [17]

$f(x) = e^{ax}\cos(bx)$

then by the product rule,

$f'(x) = \left(e^{ax}\right)' \cos(bx) + e^{ax}\left(\cos(bx)\right)'$

and by the chain rule,

$f'(x) = e^{ax}(ax)'\cos(bx) - e^{ax}\sin(bx)(bx)'$

which leaves us with

$f'(x) = \boxed{ae^{ax}\cos(bx) - be^{ax}\sin(bx)}$

Alternatively, if you exclusively want to use the chain rule, you can carry out logarithmic differentiation:

$\ln(f(x)) = \ln(e^{ax}\cos(bx)} = \ln(e^{ax})+\ln(\cos(bx)) = ax + \ln(\cos(bx))$

By the chain rule, differentiating both sides with respect to <em>x</em> gives

$\dfrac{f'(x)}{f(x)} = a + \dfrac{(\cos(bx))'}{\cos(bx)} \\\\ \dfrac{f'(x)}{f(x)} = a - \dfrac{\sin(bx)(bx)'}{\cos(bx)} \\\\ \dfrac{f'(x)}{f(x)} = a-b\tan(bx)$

Solve for <em>f'(x)</em> yields

$f'(x) = e^{ax}\cos(bx) \left(a-b\tan(bx)\right) \\\\ f'(x) = e^{ax}\left(a\cos(bx)-b\sin(bx))$

just as before.

4 0

3 years ago

Thursday is 3 days before 2 days before today. what was yesterday

nataly862011 [7]

Tuesday Would be the answer hope this helps

3 0

3 years ago

Read 2 more answers

Radio waves travel at the speed of light, 3.0 × 108 m/s. What is the wavelength of a radio wave from an AM station broadcasting

pochemuha

Answer:

4 × 10^2 M

Step-by-step explanation:

We are given;

Speed of light as 3.0 × 10^8 m/s

Frequency of radio wave as 7.5 × 10^5 Hz

We are required to determine the wavelength.

Using the formula;

wavelength, λ = v/f

Note; Radio wave is an electromagnetic wave, therefore travels with the speed of light.

Therefore;

wavelength, λ = 3.0 × 10^8 m/s ÷ 7.5 × 10^5 Hz

= 4 × 10^2 M

Hence, the wavelength of the radio wave is 4 × 10^2 M

6 0

4 years ago

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The probability that a blue marble is drawn out of a bag is 3/5. What is the probability that a blue marble is not drawn?

Gemiola [76]

The probability of a blue marble not to be drawn is 2/5

There are 5 marbles in the bag and 3 of them are blue. So to find out the probability of one not being drawn we would take 5/5-3/5 which is equal to 2/5.

Hope this helped! :D

8 0

4 years ago

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