3 years ago

Eli and Angela are saving money to buy their grandparents an anniversary gift.

Mathematics

1 answer:

Novay_Z [31]3 years ago

7 0

Answer:

$10

Step-by-step explanation:

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What is the solution of log3x + 4125 = 3?

Advocard [28]

Log3 (x) + 4125=3 final answer

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Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

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3 years ago

At Grayson's Pancake House there are 86 dirty coffee mugs and 774 clean coffee mugs. What percentage of the coffee mugs at the p

Marina86 [1]

Answer:

10%

Step-by-step explanation:

774+86=860

86/860=d/100

860d=8600

8600÷860=10

Hope this helps

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3 years ago

Half of 6900 and 8100

klio [65]

6900 + 8100 = 15000

15000 divided by 2 = 7500

So your answer is 7500

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musickatia [10]

A number without denominator such is equal to number with denominator 1.
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5/8 x 24

= 5/8 x 24/1

= (5x24) / (8x1)

= 120/8

= 15

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