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Vladimir79 [104]

3 years ago

8

Roger spent $22 on a baseball mit and softball. if the mitt costs $2 less than 5 times the cost of the softball. find the cost o

f each

1 answer:

tester [92]3 years ago

3 0

Mit+Ball=22
5•Ball-2=Mit
5ball-2+ball=22
6ball=24

Ball =24/6=$4
Mit=5•4-2=20-2=$18

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All we need to do to find the correct answer is to double the prize for a night. I'll "cut" it into pieces so you can see exactly how I calculated it:

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<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-%2014x%20%2B%2024" id="TexFormula1" title="2x^{2} - 14x + 24" alt="2x^{2} - 14

s344n2d4d5 [400]

Answer:

Factorized

$=(2x-8)(x-3)$

Roots : 4 , 3

Step-by-step explanation:

If it is to factorize :

$2x^2 - 14x + 24 = 2x^2 -6x-8x +24$

$=2x(x-3)-8(x-3)\\=(2x-8)(x-3)$

If it is to solve for x :

$2x^2 -1 4x + 24 = 0\\(2x-8)(x-3)=0\\2x - 8 = 0 \ , \ x - 3 = 0\\2x = 8 \ , \ x = 3\\x = 4 , 3$

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