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LiRa [457]
3 years ago
8

What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)?

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0
455667898776543335767644
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Find the domain and range of the relation:
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I am not getting what is this

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Find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi (no approximations)
KonstantinChe [14]
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aalyn [17]
P(heads, and even and blue) = 1/2 *3/6 *1/4=1/2*1/2*1/4=1/16

P(heads, and 5, and green) = 1/2*1/6*1/4=1/48

P((heads or tail), and odd, and red)= (1/2+1/2)*3/6*1/4=1*1/2*1/4 = 1/8

 P((heads or tail), and 3, and yellow)= (1/2+1/2)*1/6*1/4=1*1/6*1/4=1/24

P(tails, and prime, and not green) = 1/2 *3/6*3/4= 1/2*1/2*3/4=3/16
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7 0
3 years ago
A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?
jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get  x^2 + y^2 + 6y                = 72.

x^2 is already a perfect square.  Focus on rewriting y^2 + 6y as the square of a binomial:  y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9  - 9              = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2.  Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0
3 years ago
A car travels at an average speed of 90 km per hour.
lys-0071 [83]

9514 1404 393

Answer:

  270 km

Step-by-step explanation:

Distance is related to speed and time by ...

  distance = speed · time

  distance = (90 km/h)(3 h) = 270 km

The car will travel 270 km in 3 hours.

8 0
2 years ago
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