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vredina [299]
3 years ago
12

Write an expression from the description. Then

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

(-36 ÷ -4) + 9

The expression equals 18.

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In his free time, Gary spends 13 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour
goldenfox [79]
<span>Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
 so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet
 

26/35 (that is a fraction) x100 =</span><span>74.285714 
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Is it possible for a triangle to have sides with the given lengths? Explain. 5 in., 8 in., 15 in.
Nitella [24]
<span>Triangle Inequality Theorem

</span><span>the sum of two side lengths of a triangle is always greater than the third side.
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5+8=13 
your answer = no
4 0
3 years ago
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According to the graph, a student who studies 10 hours per week should earn a score of about how much?
vladimir1956 [14]
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4 0
2 years ago
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dem82 [27]
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7 0
3 years ago
Jacob throws an acorn into the air. It lands in front of him. The acorn's path is
Burka [1]

Answer:

  • hits the ground at x = -0.732, and x = 2.732
  • only the positive solution is reasonable

Step-by-step explanation:

The acorn will hit the ground where the value of x is such that y=0. We can find these values of x by solving the quadratic using any of several means.

__

<h3>graphing</h3>

The attachment shows a graphing calculator solution to the equation

  -3x^2 + 6x + 6 = 0

The values of x are -0.732 and 2.732. The negative value is the point where the acorn would have originated from if its parabolic path were extrapolated backward in time. Only the positive horizontal distance is a reasonable solution.

__

<h3>completing the square</h3>

We can also solve the equation algebraically. One of the simplest methods is "completing the square."

  -3x^2 +6x +6 = 0

  x^2 -2x = 2 . . . . . . . . divide by -3 and add 2

  x^2 -2x +1 = 2 +1 . . . . add 1 to complete the square

  (x -1)^2 = 3 . . . . . . . . written as a square

  x -1 = ±√3  . . . . . . . take the square root

  x = 1 ±√3 . . . . . . . add 1; where the acorn hits the ground

The numerical values of these solutions are approximately ...

  x ≈ {-0.732, 2.732}

The solutions to the equation say the acorn hits the ground at a distance of -0.732 behind Jacob, and at a distance of 2.732 in front of Jacob. The "behind" distance represents and extrapolation of the acorn's path backward in time before Jacob threw it. Only the positive solution is reasonable.

3 0
2 years ago
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