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Free_Kalibri [48]
3 years ago
6

HELP PLEASE ASAP!!! Please show work I’ll mark you brilliant!!!!

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
Please mark brainliest!!

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3x^2 – 8x + 5 = 5x^2
Ghella [55]

Answer:

Step-by-step explanation:

3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\

a = 2, b = 8, c = -5

x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\

x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}

8 0
3 years ago
A farmer owns chickens and sheep. One day, he observed that when his animals were all together, there were at least 30 legs but
motikmotik

Answer:

c+s < 12, 2c+4s >= 30.

Step-by-step explanation:

Known: at least 30 legs, less than 12 heads.

Each animal has one head, so if there are less than 12 heads, then c + s < 12.

Sheep have four legs and chickens have two legs, so if there are at least 30 legs, then # of chicken legs + # of sheep legs >= 30, ----> c(2) + s(4) >= 30, ----> 2c + 4s >= 30.

The graph attached models the problem is you set the x axis as "c" (# of chickens) and y axis as "s" (# of sheep).

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Four brothers and their sister have the average age 7. Four brothers have the average age 6. How old is the sister?
AnnyKZ [126]

Answer:

11 years old

Step-by-step explanation:

If four brothers have the average age 6, then the sum of their ages is

4\cdot 6=24

years.

Let x years be the age of sister. If four brothers and their sister have the average age 7, then

\dfrac{24+x}{5}=7.

Multiply this equation by 5:

24+x=35\Rightarrow x=35-24=11.

The sister is 11 years old.

4 0
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