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3 years ago

The poduct of 10 and a number is 3 less than the number

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

Answer:

Step-by-step explanation:

10 x = x - 3 Subtract x from both sides

10x - x = - 3 Combine like terms on the left

9x = - 3 Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

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Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

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Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

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2 years ago

Why is x=5 not in the domain of the function

Anestetic [448]

BC it's a rate of change

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3 years ago

if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is

dlinn [17]

P(success) = 0.4 P(failure) = 0.6

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3 years ago

Write the following equation in slope intercept form. y – 3 = -2 (x -5)

Phantasy [73]

This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.

Add 3 to both sides.

y = -2(x-2)

Simplify.

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Leni [432]

Answer:

Step-by-step explanation:

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