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Naya [18.7K]
3 years ago
7

Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each ballo

on is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.
Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0
Sorry, the text you have requested has been deleted. Make sure that you have the correct URL and the owner of the text hasn't deleted it.
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The difference of the range and the interquartile range of the data set represented by the box plot is
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Shannon says,"My apartment is a prime number." Which could be Shannon's apartment number? A 115 B 273 C 317 D414
g100num [7]
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Help math<br>look at pic​
Sloan [31]

Answer: \Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Step-by-step explanation:

<u>Given the system of equation</u>

1)~y=-(x+2)^2+1

2)~y=2x+5

<u>Expand the parenthesis of the 1) equation</u>

y=-(x+2)^2+1

y=-(x^2+4x+4)+1

y=-x^2-4x-4+1

y=-x^2-4x-3

<u>Current System</u>

1)~y=-x^2-4x-3

2)~y=2x+5

<u>Substitute the y value of the 1) equation with the 2) equation</u>

2x+5=-x^2-4x-3

<u>Add ( x² + 4x + 3) on both sides</u>

2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)

2x+5+x^2+4x+3=0

<u>Combine like terms</u>

x^2+2x+4x+5+3=0

x^2+6x+8=0

<u>Factorize the quadratic equation</u>

(x+4)(x+2)=0

x=-4~\text{or}~x=-2

<u>Substitute the x values into one of the equations to find the y value</u>

y=2x+5

y=2(-4)+5=-8+5=-3

y=2(-2)+5=-4+5=1

<u>Therefore, the two solutions are:</u>

\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Hope this helps!! :)

Please let me know if you have any questions

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Mary wants to join a gym.
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Answer:

It would take five months for the total cost of the gyms to be equal.

Step-by-step explanation:

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I need help with d please.
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The answer is 472m^3

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