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Katena32 [7]
3 years ago
5

Select the points that is a solution

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

The red area is the one which solves the system. In fact, we want the area which below both the parabola and the line (since the inequality features a \leq sign.


So, the point (1,1) is below the line but above the parabola (blue area), so it is not a solution.


The point (2,2) is above both the line and the parabola (white area), so it is not a solution.


The point (-1,0) is below both the line and the parabola (red area), so it is a solution.


So, the point (4,1) is below the parabola but above the line (green area), so it is not a solution.

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A new neighborhood activity complex is being built in madison. the perimeter of the rectangular playing field is 268 yards. the
motikmotik

Answer:

the width is 47 yards

the length is 87 yards

Step-by-step explanation:

Given

the perimeter of the rectangular playing field is 268

perimeter of rectangle is given by 2* ( length + width)

hence for given rectangular playing field

268 =  2* ( length + width)  __________________equation A

Let the width of field be W

length is seven less than  double the width

Width is W then double the width will be 2*W

then 7 yards less than the double the width will be 2*W - 7

Therefore length of field in terms of W is 2*W - 7

Now substituting value of length with  2*W - 7  and

width with W in equation A, we have given below expression

268 =  2* ( 2*W - 7  + W)

=> 268/2 = 3W - 7

=> 134 = 3W - 7

=> 3W = 134 + 7 = 141

=> W = 141/3 = 47

Therefore width of  rectangular playing field is 47 yards

Length of  rectangular playing field = 2W - 7 = 2*47 - 7 = 94 - 7

Length of  rectangular playing field = 87

Therefore Length of  rectangular playing field is 87 yards

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6^2/2(3)+4
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Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.

Now our expression is 36/2(3)+4.

Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
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If we took 36(3) then divided by 2 we would get the same answer.
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Now our expression is 54+4.

Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.
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