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mixer [17]
2 years ago
14

How do I graph that

Mathematics
1 answer:
nika2105 [10]2 years ago
7 0
Start by finding the vertex, which is the point the parabola turns. The x value is -b/2a, which you have in your notes here. b = -8 and a = 2 and therefore the x value of the vertex is 2. Plug that in to find the y value, which is -2. 

Start by plotting this point and the y intercept, which is 6. The parabola will be a U shape, which goes upwards starting at the vertex. If you draw that using the side with the y intercept, you can just mirror it on the other side of the vertex. 
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Use the quadratic formula to solve for x.
ivann1987 [24]

Answer:

x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

Step-by-step explanation:

Solve for x:

6 x^2 - 4 x = 1

Divide both sides by 6:

x^2 - (2 x)/3 = 1/6

Add 1/9 to both sides:

x^2 - (2 x)/3 + 1/9 = 5/18

Write the left hand side as a square:

(x - 1/3)^2 = 5/18

Take the square root of both sides:

x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

5 0
3 years ago
A coach divided his team into two groups of equal size.
DerKrebs [107]

Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

The team is divided into two equal groups, hence, each represents 50%.

The <em>percentages </em>associated with drinking at least 2 glasses of water a day is:

  • 70% of 50%(first group)
  • 75% of 50%(second group)

Hence, applying the weighed percentage, the total percentage is:

T = 0.7(0.5) + 0.75(0.5) = 0.725

0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

A similar problem is given at brainly.com/question/1517088

4 0
2 years ago
You rent an apartment that costs $900 per month during the first year, but the rent is
olchik [2.2K]

Answer:1493.1

Step-by-step explanation:

4 0
1 year ago
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Write an algebraic expression: 4 groups of y.
Dvinal [7]
4y is your answer because ffor is the mathmatical term for multiplying in any word problem. 
8 0
2 years ago
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In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria
Effectus [21]

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

8 0
3 years ago
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