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zubka84 [21]
2 years ago
15

Expand 2(q+3) please

Mathematics
2 answers:
Crank2 years ago
6 0

Answer:

  2q +6

Step-by-step explanation:

The distributive property is used for this purpose. The factor outside parentheses (2) multiplies each of the terms inside parentheses (q, 3).

  2(q +3) = 2·q +2·3 = 2q +6

_____

<em>Additional comment</em>

It might help to think of the parentheses as a "bag" containing one "q" and 3 tokens. The number outside parentheses tells you how many "bags" you have. Expanding the expression is equivalent to dumping out the bags and describing the total contents:

  2(q +3) = (q +3) +(q +3) . . . . multiplication is the same as repeated addition

  = (q +q) +(3 +3)

  = 2q +6

Y_Kistochka [10]2 years ago
5 0

Answer:

  • 2q + 6

Step-by-step explanation:

<u>Expand the expression with the help of distributive property.</u>

  • 2(q + 3)
  • => (2 x q) + (2 x 3)
  • => 2q + 6

Hence, the expanded expression is 2q + 6.

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The equation d=0.05v2+1.1v models the distance, d, that it takes are car traveling v miles per hour to come to a complete stop.
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Explanation:

Just to correct some typos, this is the complete question:

<em />

<em>The equation d=0.05v² +  1.1v models the distance, d, that it takes a car traveling at a speed of v miles per hour to come to a complete stop. If Hannah’s car stopped after travelling 250 feet on a highway with a speed limit of 65 mph, was Hannah speeding? Explain using math whether she was speeding and how you know.</em>

<em />

<h2>Solution</h2>

<em />

To find whether Hannah was speeding, you must find the velocity that is solution for the equation:

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<em />

Write it in standard form:

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Use the quadratic formula:

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The speed can only be positive; thus, it is about 61 miles per hour, which is below the speed limit of 65mph.

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