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mr_godi [17]
3 years ago
8

Ralph and Patrick play on a basketball team. Ralph played the whole first quarter and the first 4 minutes of the second quarter.

Patrick played the rest of the second quarter and all of the third quarter. Ralph played the whole fourth quarter. Each quarter is 10 minutes long. How long did Patrick play during the second quarter?
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0

Answer:

34

Step-by-step explanation:

Patrick play 6 minutes on the second quarter and 10 on the last two quarters

Fofino [41]3 years ago
6 0

Answer: Patrick played 6 minutes during the second quarter.

Step-by-step explanation:

Since we have given that

Length of each quarter = 10 minutes

Ralph played the whole first quarter, the first 4 minutes of the second quarter, and the whole fourth quarter.

whereas, Patrick played the rest of the second quarter, third quarter.

Length of second quarter Patrick played is given by

10-4\\\\=6\ minutes

Hence, Patrick played 6 minutes during the second quarter.

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Answer:

I guess that we want to find the equation for each case.

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if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

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if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

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y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

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y = -(x + 4)^2 - 4

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Step-by-step explanation:

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Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

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Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

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  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

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The desired values are x = 2, y = -2, AB = 142.

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You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

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