Leslie is 5 times Rebecca's age . In 2 years, Leslie will be 3 times Rebecca's age How old is Rebecca now?

1 answer:

7 0

Rebecca was 2 at first, but 2 years later she is 4. Leslie was 10 at first, but 2 years later she is 12. 12 is 3 times greater than 4.

Please vote my answer brainliest! Thanks.

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What inverse operation should be used to isolate the variable in the equation c ÷ 7 = 2?

Kobotan [32]

Answer:

C = 14

Step-by-step explanation:

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3 years ago

How to integrate 1/(1-y)^2

Akimi4 [234]

If you're using the app, try seeing this answer through your browser: brainly.com/question/866966

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Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy}\\\\\\ =\mathsf{\displaystyle\int\!\dfrac{-1}{(1-y)^2}\cdot (-1)\,dy}\\\\\\ =\mathsf{\displaystyle- \int\!(1-y)^{-2}\cdot (-1)\,dy\qquad\quad(i)}$

Substitution:

$\begin{array}{lcl} \mathsf{1-y=u}&\quad\Rightarrow\quad&\mathsf{y=1-u}\\\\ &&\mathsf{dy=-1\,du} \end{array}$

So the integral $\mathsf{(i)}$ becomes

$=\mathsf{\displaystyle -\int\! u^{-2}\,du}\\\\\\ =\mathsf{-\,\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\ =\mathsf{-\,\dfrac{u^{-1}}{-1}+C}\\\\\\ =\mathsf{u^{-1}+C}\\\\\\ =\mathsf{\dfrac{1}{u}+C}$

$=\mathsf{\dfrac{1}{1-y}+C}\\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy=\dfrac{1}{1-y}+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: indefinite integral fraction rational substitution power differential calculus

3 0

2 years ago

Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,

Xelga [282]

Given:

Amount in Aleka and Helene accounts represented by the following function:

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