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wlad13 [49]
2 years ago
13

Alannah, Colin and Hannah visit the park and collect conkers and acorns.

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
8 0

Answer:

acorns

Step-by-step explanation:

20x=9y

9/20 to 5/9

5/9 of the acorns collected are from Hannah

9/20 of the conkers collected are from Hannah

5/9 is larger than 9/20

Hannah collected more acorns

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According to the rational root theorem what are all the potential rational roots of f(x)=9x^4-2x^2-3x+4
8_murik_8 [283]

Answer:

+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

Step-by-step explanation:

The Rational root theorem states that If f(x) is a Polynomial with integer coefficients and if there exist a rational root of the form p/q then p is the factor of the constant term of the function and q is the factor of the  leading coefficient of the function

Given: f(x)= 9x^4-2x^2-3x+4

Factors of q (leading coefficient) are: +/-9, +/-3, +/-1

Factors of p (constant term) are: +/-4 , +/-2, +/- 1

According to the theorem we write the roots in p/q form:

Therefore,

p/q =+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

7 0
3 years ago
Flying against the wind, an airplane travels 4500km in 6 hours. Flying with the wind, the same plane travels 2910 kilometers in
katen-ka-za [31]

Let <em>a</em> denote the airplane's speed in still air, and <em>w</em> the windspeed.

When the plane flies against the wind, it can travel an average speed of

(4500 km) / (6 h) = 750 km/h

so that

<em>a</em> - <em>w</em> = 750 km/h

Flying with the wind, it moves at a speed of

(2910 km) / (3 h) = 970 km/h

so that

<em>a</em> + <em>w</em> = 970 km/h

Add the two equations to eliminate <em>w</em> and solve for <em>a</em> :

(<em>a</em> - <em>w</em>) + (<em>a</em> + <em>w</em>) = 750 km/h + 970 km/h

2<em>a</em> = 1720 km/h

<em>a</em> = 860 km/h

Subtract them to eliminate <em>a</em> and solve for <em>w</em> :

(<em>a</em> - <em>w</em>) - (<em>a</em> + <em>w</em>) = 750 km/h - 970 km/h

-2<em>w</em> = -220 km/h

<em>w</em> = 110 km/h

7 0
2 years ago
Select all that apply. Which groupings are located on the File tab?
pashok25 [27]

Answer:

  • Insert
  • Export
  • Share

Step-by-step explanation:

  • <em>File </em>
  • <em>Home </em>
  • <em>Insert </em>
  • <em>Page Layout </em>
  • <em>References </em>
  • <em>Mailings </em>
  • <em>Review </em>
  • <em>View </em>
  • <em>Design</em>
6 0
3 years ago
Solve 3(4y + 6) greater equal to -2(3-6y) show work pls
horrorfan [7]

Answer:

All real numbers

Step-by-step explanation:

See the image.

3 0
3 years ago
A bus travels 32 kilometers in 30 minutes. How far will the bus travel in 4 hours at that speed? 64 km 4.27 km 128 km 256 km
solong [7]
256 km should be the answer
3 0
3 years ago
Read 2 more answers
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