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ale4655 [162]
2 years ago
8

PLEASE HELP SOLVE I WILL MARK AS BRAINLESS!​

Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

13) \: no \: of \: people = 2 \div  \frac{1}{8}  \\  = 2 \times  \frac{8}{1}   \\  = 16 \\  \\ 14) \: no \: of \: prizes \: won \: by\:Mallory \\  =  \frac{2}{ \cancel3}  \times  \cancel6 \\   = 2 \times 2 \\  = 4 \\  \\ 15) \: no \: of \: quart \: diced \: tomatoes \\  = 5 \frac{1}{4}  \times 1 \frac{2}{3}  \\  \\  =  \frac{ \cancel{21}}{4}  \times  \frac{5}{ \cancel3}  \\  \\  =  \frac{7}{4}  \times 5 \\  \\  =  \frac{35}{4}  \\  \\  = 8 \frac{3}{4}  \\  \\ 16) \: no \: of \: blocks = 123 \frac{1}{2}  \div 6 \frac{1}{2}  \\  \\  =  \frac{247}{2}   \div  \frac{13}{2}  \\  \\  =  \frac{247}{2}  \times  \frac{2}{13}  \\  \\  \frac{247}{13}  \\  \\  = 19

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Find the roots

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we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
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