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2 years ago

What is equivalent to 3x – 2y = 4?

Mathematics

1 answer:

Vinil7 [7]2 years ago

4 0

Answer:

This equation is equal to y=3/2x-2

Step-by-step explanation:

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What is 220% of 400? A. 88 B. 880 C. 8,800 D. 88,000

Andrews [41]

Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

7 0

3 years ago

Read 2 more answers

Identify the like terms.

Aloiza [94]

The correct answer is C: -3b and 4b.

7 0

3 years ago

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.

$I(5)=x^5e^x-5I(4)$

$I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)$

$I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)$

$I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)$

$I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))$

Finally,

$I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C$

so we end up with

$I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C$

$I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C$

and the antiderivative is

$\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C$

8 0

2 years ago

Let f(x)=x^2 and g(x)=x-3. evaluate (fog)(-2)

Studentka2010 [4]

F(x) = x²
g(x) = x - 3

g(-2) = (-2) - 3 = -5

f(-5) = (-5)² = 25

Answer : <span>(fog)(-2) = 25</span>

7 0

3 years ago

2xy and (3x+2y)<br>multiply

Igoryamba

The answer is 6x^2+4xy^2 multiply the 2xy to each term

3 0

2 years ago