Mathematics: Solve 3x2 − 24x = −12. a) 4 ± 2square root 2 b) 4 ± 2square root 3 c) 4 ± 2square root 5 d) 4 ± 2square root 7

Solve 3x2 − 24x = −12. a) 4 ± 2square root 2 b) - id32241242243190213, tonyacoolmom

Ответ:

Kareemgreen1237

06.01.2022

B) 4 ± 2square root 3

Step-by-step explanation:

$3x^2-24x=-12\qquad\text{divide both sides by 3}\\\\x^2-8x=-4\\\\x^2-2(x)(4)=-4\qquad\text{add}\ 4^2\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=-4+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=-4+16\\\\(x-4)^2=12\to x-4=\pm\sqrt{12}\\\\x-4=\pm\sqrt{4\cdot3}\\\\x-4=\pm\sqrt4\cdot\sqrt3\\\\x-4=\pm2\sqrt3\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt3$

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Ответ:

iancuteodora30

05.02.2021

Mathematics

For this case we will first look for the total cost of the purse.
We then have the following rule of three:
14.95 $ > 100%
x > 105%
Clearing x we have:
x = (105/100) * (14.95)
x = 15.6975 $
The amount needed to buy the purse is:
15.6975 - 10 = 5.6975 $

holley needs 5.6975 $ to buy the purse

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Solve 3x2 − 24x = −12.

a) 4 ± 2square root 2
b) 4 ± 2square root 3
c) 4 ± 2square root 5
d) 4 ± 2square root 7

Ответ:

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