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jasenka [17]
3 years ago
13

Find the greatest common factor of 6w^3 and 8w.

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:2w

Step-by-step explanation: Find the prime factors of each term in order to find the greatest common factor (GCF).

2w

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37. Construct Arguments Luis and Raul are
Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

  • <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
  • <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

  • Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

<u>Using the general form</u> :

  • y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

<u>The expression in slope intercept form becomes</u> ;

  • y = -7.5x + 15

<u>If Raul lives 5 miles closer to the beach</u> ;

<u>Time it will take Luis to get to the beach</u> :

  • Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

  • Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

5 0
2 years ago
What is the C of a circle that has a radius of 4.5
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Step-by-step explanation:

C = 2\pi \: r \\ = 2 \times 3.14 \times 4.5 \\  = 3.14 \times 9 \\  =28.26 \: units

5 0
3 years ago
Warm up. help please
vampirchik [111]
Exponents are similar in concept to multipication. Multiplication is repeated addition and exponents are repeated multiplication.
So x^3 = x*x*x
f(-2) = (-2)(-2)(-2) = -8
Try the others For yourself!

3 0
3 years ago
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
2 years ago
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
Semenov [28]

Answer:

A

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A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.

6 0
2 years ago
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