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Tomtit [17]
3 years ago
10

Help me please thank you

Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

a) the numerator, <em>a</em>, would be a smaller number than the denominator, <em>b.</em>

b) the fraction a/b could be over or under the amount of 1/2.

c) the fraction could be over or under the amount of 1.

Step-by-step explanation:

examples:

a) 2/8

b)3/8 or 6/10

c) 8/9 or 1 1/8

Hope this helps :)

You might be interested in
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to t
tester [92]

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

4 0
3 years ago
Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, −4 is the only other
Nonamiya [84]

Answer:

Step-by-step explanation:

Hello,

degree 5

4 is a zero of multiplicity 3 -> (x-4)^3 is a factor

-4 is the only other zero, so the multiplicity is 5-3=2 -> (x+4)^2 is a factor

leading coefficient is 4 so we can write

\boxed{4(x-4)^3(x+4)^2}

If there is something that you do not understand or you are blocked somewhere let us know what / where.

Thank you.

8 0
3 years ago
WHAT IS 18 TONS 42 POUNDS DEVIDED BY 3
Alecsey [184]

A ton is 2,000 pounds so multiply 2,000 x 18

2,000 x 18 =  36,000 pounds, now add the 42 pounds to the 36,000

36,000 + 42 = 36,042 pounds. Now divide 36,042 by 3

36,042 ÷ 3 = 12,014

Your answer is 12,014 pounds

If you need your answer in tons it's 6.007 tons

Calculations for pounds to tons

12,014 ÷ 2,000 = 6.007

Hope this helps. :)


4 0
3 years ago
Read 2 more answers
1/2x+3=-1<br><br><br><br><br> HELP ASAP!!
fenix001 [56]

Step-by-step explanation:

\frac{1}{2} x + 3 =  - 1 \\  \frac{x}{3}  + 3 =  - 1 \\  \frac{x}{3}  =  - 1 - 3 \\  \frac{x}{3}  =  - 4 \\ x =  - 4 \times 3 \\ x =  - 12

4 0
2 years ago
Read 2 more answers
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