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3 years ago

What is 2/3 x 9/8 as a fraction in simplest form

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer: $\frac{3}{4}$

Have attached the picture for explanation...

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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

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

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Nikitich [7]

Answer: B. (-4, 0)

<u>Step-by-step explanation:</u>

The question is: when is the <u>function</u> constant?

function is also called f(x), which is also called "y".

So the question is asking: when is the y-value constant?

the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)

7 0

3 years ago

Find the value of this expression if x = -2.<br>x^2 – 8/x + 6

xz_007 [3.2K]

Answer:

-1

Step-by-step explanation:

x^2 – 8

-----------

x + 6

Let x = -2

(-2)^2 – 8

-----------

-2 + 6

Exponents first

4 – 8

-----------

-2 + 6

Then complete the numerator and denominator

-4

-----

Then divide

-1

5 0

3 years ago

Read 2 more answers

Pls help if you actually can

Setler79 [48]

The triangles that are similar would be ΔGCB and ΔPEB due to Angle, Angle, Angle similarity theorem.

<h3>How to identify similar triangles?</h3>

From the image attached, we see that we are given the Parallelogram GRPC. Thus;

A. The triangles that are similar would be ΔGCB and ΔPEB due to Angle, Angle, Angle similarity theorem.

B. The proof of the fact that ΔGCB and ΔPEB are similar pairs of triangles is as follow;

∠CGB ≅ ∠PEB (Alternate Interior Angles)

∠BPE ≅ ∠BCG (Alternate Interior Angles)

∠GBC ≅ ∠EBP (Vertical Angles)

C. To find the distance from B to E and from P to E, we will first find PE and then BE by proportion;

225/325 = PE/375

PE = 260 ft

BE/425 = 225/325

BE = 294 ft

Read more about Similar Triangles at; brainly.com/question/14285697

#SPJ1

5 0

2 years ago

Answer very Quick i need it like right away

Julli [10]

Answer:

c + (a + 1.70) = 6.70

Step-by-step explanation:

you start the equation by Subtracting how much more alan has to the total

(this will only be set as an equation do not actually solve it)

then add 1.70 to a

6.70 - 1.70 = a + c

(1.70 + a)

c + (a + 1.70) = 6.70 "

8 0

3 years ago