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3 years ago

3. Write a number that has a value greater than -2.6|

Mathematics

2 answers:

svetoff [14.1K]3 years ago

5 0

Answer:

-1.67539

Step-by-step explanation:

lozanna [386]3 years ago

3 0

There are many answer choices one of them could be...

-1.67550

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How much will two points cost on a $175,000 mortgage?

Triss [41]

43 $3500.00

because you must calculate $175,000.00*.02 so when that is multiplied it equalos $3500.00

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3 years ago

Evaluate the following integral (Calculus 2) Please provide step by step explanation!

Step2247 [10]

Answer:

$\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=-\dfrac{2}{x+1}+\text{C}$

Step-by-step explanation:

Fundamental Theorem of Calculus

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given integral:

$\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x$

Factor the denominator:

$\begin{aligned}\implies x^2+2x+1 & = x^2+x+x+1\\& = x(x+1)+1(x+1)\\& = (x+1)(x+1)\\& = (x+1)^2\end{aligned}$

$\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int \dfrac{2}{(x+1)^2}\:\:\text{d}x$

$\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}$

$\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int 2(x+1)^{-2}\:\:\text{d}x$

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $ax^n$}\\\\$\displaystyle \int ax^n\:\text{d}x=\dfrac{ax^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Use Integration by Substitution:

$\textsf{Let }u=(x+1) \implies \dfrac{\text{d}u}{\text{d}x}=1 \implies \text{d}x=\text{d}u}$

Therefore:

$\begin{aligned}\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x & = \int 2(x+1)^{-2}\:\:\text{d}x\\\\& = \int 2u^{-2}\:\:\text{d}u\\\\& = \dfrac{2}{-1}u^{-2+1}+\text{C}\\\\& = -2u^{-1}+\text{C}\\\\& = -\dfrac{2}{u}+\text{C}\\\\& = -\dfrac{2}{x+1}+\text{C}\end{aligned}$

Learn more about integration here:

brainly.com/question/27988986

brainly.com/question/27805589

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2 years ago

What are the solutions to the following system of equations? Select the correct answer below.

Fed [463]

I would say probably b or d

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3 years ago

Julia has been playing piano for 12 years. Her sister, Jasmin, has been playing 2 more than 1/4 of the time that Julia has playe

ICE Princess25 [194]

Julia has 12 years.
1/4 of that is 3 (12/4=3)
3+2 = 5
Jasmine has played for 5 years

Double Check- Reverse
5-2 = 3
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3 years ago

To solve a system of equations, you can replace a ____________with an equal value or expression.

Ludmilka [50]

Answer:

Variable

Step-by-step explanation:

If you can substitute a unknown variable with another expression that is equal, you can then solve for another variable, and with that equal expression, solve for the first variable.

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4 years ago

3. Write a number that has a value greater than -2.6|​

3. Write a number that has a value greater than -2.6|