Answer: 2.58, 2.58, 2.6, 2.66
Step-by-step explanation:
You can translate the ‘2/3’ part of ‘2 2/3’ into (roughly) 0.667
Answer:
Step-by-step explanation:
![3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\](https://tex.z-dn.net/?f=3x%5E2%20-8x%20%2B5%20%3D%205x%5E2%5C%5C%5C%5C5x%5E2%20-%203x%5E2%20%2B%208x%20-5%20%3D0%5C%5C%5C%5C2x%5E2%20%2B8x%20-5%20%3D%200%5C%5C%5C%5C)
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}\\\\](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-8%20%5Cpm%20%5Csqrt%7B8%5E2%20-%20%28%204%20%5Ctimes%202%20%5Ctimes%20%28-5%29%29%7D%20%7D%7B2%20%5Ctimes%202%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-8%20%5Cpm%20%5Csqrt%7B64%20%2B40%7D%20%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-8%20%2B%20%5Csqrt%7B64%20%2B40%7D%20%7D%7B4%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B-8%20-%20%5Csqrt%7B64%20%2B40%7D%20%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-8%20%2B%20%5Csqrt%7B104%7D%20%7D%7B4%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B-8%20-%20%5Csqrt%7B104%7D%20%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-8%20%2B%20%5Csqrt%7B4%20%5Ctimes%2026%7D%20%7D%7B4%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B-8%20-%20%5Csqrt%7B4%20%5Ctimes%2026%7D%20%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-8%20%2B2%20%5Csqrt%7B26%7D%20%7D%7B4%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B-8%20-%202%5Csqrt%7B26%7D%20%7D%7B4%7D%5C%5C%5C%5C)
![x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-4%20%2B%20%5Csqrt%7B26%7D%20%7D%7B2%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B-4%20-%20%5Csqrt%7B26%7D%20%7D%7B2%7D)
Answer:
option(B)
Step-by-step explanation:
1 + 1 × 2
using BODMAS, Multiplication comes first then Addition
=> 1 + (1 × 2)
=> 1 + 2
=> 3
Answer:
Used Video game = x = 11
Used movie = y = 4
Step-by-step explanation:
Let
Used Video game = x
Used movie = y
x + y = 15 (1)
10x + 6y = 106 (2)
From 1
x = 15 - y
Substitute x = 15 - y into (2)
10x + 6y = 106
10(15 - y) + 6y = 106
150 - 10y + 6y = 106
-10y + 6y = 106 - 150
- 4y = -44
Divide both sides by -4
y = -44/-4
= 11
y = 11
Substitute y = 11 into (1)
x + y = 15
x + 11 = 15
x = 15 - 11
= 4
x = 4
Used Video game = x = 11
Used movie = y = 4