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wariber [46]
3 years ago
15

HELP ASAP PLEASE!!!

Mathematics
1 answer:
grigory [225]3 years ago
7 0

The quadratic fomula:

ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\If\ \Delta0,\ then\ \boxed{TWO\ SOLUTIONS:\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}}-----------------------------------------------

We have the equation:

2x^2-7x-21=0\\\\a=2,\ b=-7,\ c=-21\\\\\Delta=(-7)^2-4(2)(-21)=49+168=217 > 0\\\\x_1=\dfrac{-(-7)-\sqrt{217}}{2(2)}=\dfrac{7-\sqrt{217}}{4}\approx-1.93\\\\x_2=\dfrac{-(-7)+\sqrt{217}}{(2)(2)}=\dfrac{7+\sqrt{217}}{4}\approx5.43\\\\Answer:\ \boxed{\boxed{2.\ -1.93\ and\ 5.43}}

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madreJ [45]

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by <em>a, b</em>, and <em>c</em>.

The sum of the three is 103. Thus, we can write that:

a+b+c=103

The second number is five less than the first. So:

b=a-5

And the third number is four times the first. So:

c=4a

Substitute:

a+(a-5)+(4a)=103

Solve for <em>a</em>. Combine like terms:

6a-5=103

Add five to both sides:

6a=108

And divide both sides by six. Therefore:

a=18

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Shauna is making accessories for the soccer team she uses 513.48 inches of fabric on headbands for 40 player and 4 coaches she u
AleksAgata [21]

Answer:

For each player:

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Step-by-step explanation:

Shauna is making accessories for the soccer team

For Headbands

She uses 513.48 inches of fabric on headbands for 40 player and 4 coaches

The total number of persons = 40 players + 4 coaches

= 44 persons

Hence:

44 persons = 513.48 inches

1 person = x

Cross Multiply

44x = 513.48 inches × 1

x = 513.48 inches/44

x = 11.67 inches per person

For Wristbands

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Number of players = 40

Hence

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1 players = x inches

Cross Multiply

40x = 372.40 inches

x = 372.40 inches/40

x = 9.31 inches

Hence, 9.31 inches per player.

Therefore

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

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Step-by-step explanation:

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