Jesse bought 5.2 pounds of grapes for $7.75. Using the unit rate, how much would 3 pounds of grapes cost?
1 answer:
For 3 pounds it would be $4.47
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Answer:
1. D (x-5)^2-(y-2/2)^2=1
2. A
3. C No. The car travels counterclockwise in a circle at the origin with radius 2.
Step-by-step explanation:
Divide 12 by 3.your answer should be 4
Answer:
2a - b = 5
Step-by-step explanation:
4a - 2b = 10
take out the highest common factor of the left side
2(2a - b) = 10
divide both sides by two
2a - b = 10/2
2a - b = 5
Here are some
1 ) 4 ( x - 3 )
2 ) 10 x - 2 x - 12
3 ) 8 x - 4 - 8
For this case we have the following quadratic equation:
![x ^ 2-4x + 23 = 0](https://tex.z-dn.net/?f=x%20%5E%202-4x%20%2B%2023%20%3D%200)
The solutions will be given by:
![x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-b%20%5Cpm%20%5Csqrt%20%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%7D%20%7B2a%7D)
Where:
![a = 1\\b = -4\\c = 23](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%20-4%5C%5Cc%20%3D%2023)
Substituting the values we have:
![x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (23)}} {2 (1)}\\x = \frac {4 \pm \sqrt {16-92}} {2}\\x = \frac {4 \pm \sqrt {-76}} {2}\\x = \frac {4 \pm \sqrt {76i ^ 2}} {2}\\x = \frac {4 \pmi \sqrt {76}} {2}\\x = \frac {4 \pmi \sqrt {2 ^ 2 * 19}} {2}\\x = \frac {4 \pm2i \sqrt {19}} {2}\\x = 2 \pm i\sqrt {19}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-%20%28-%204%29%20%5Cpm%20%5Csqrt%20%7B%28-%204%29%20%5E%202-4%20%281%29%20%2823%29%7D%7D%20%7B2%20%281%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B4%20%5Cpm%20%5Csqrt%20%7B16-92%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B4%20%5Cpm%20%5Csqrt%20%7B-76%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B4%20%5Cpm%20%5Csqrt%20%7B76i%20%5E%202%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B4%20%5Cpmi%20%5Csqrt%20%7B76%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B4%20%5Cpmi%20%5Csqrt%20%7B2%20%5E%202%20%2A%2019%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B4%20%5Cpm2i%20%5Csqrt%20%7B19%7D%7D%20%7B2%7D%5C%5Cx%20%3D%202%20%5Cpm%20i%5Csqrt%20%7B19%7D)
We have two roots:
![x_ {1} = 2-i \sqrt {19}\\x_ {2} = 2 + i \sqrt {19}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%202-i%20%5Csqrt%20%7B19%7D%5C%5Cx_%20%7B2%7D%20%3D%202%20%2B%20i%20%5Csqrt%20%7B19%7D)
ANswer:
![x_ {1} = 2-i\sqrt {19}\\x_ {2} = 2 + i\sqrt {19}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%202-i%5Csqrt%20%7B19%7D%5C%5Cx_%20%7B2%7D%20%3D%202%20%2B%20i%5Csqrt%20%7B19%7D)