The answer is that they will meet at 7.20 pm ! hope this helped
Answer:
In radical from 169/50 , 177/200
Step-by-step explanation:
Given:
![2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6](https://tex.z-dn.net/?f=2x%5E2%3D5x%2B6%5C%5C%5C%5C2x%5E2-5x-6%3D0%5C%5C%5C%5CWhere%2C%20a%3D2%20%2C%20b%3D-5%20%2C%20c%3D-6)
Find:
Value of ![x](https://tex.z-dn.net/?f=x)
Computation:
Using quadratic formula:
![\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\By\ putting\ all\ value\\\\ \frac{-(-5)\±\sqrt{(-5)^2-4(2)(-6)} }{2(2)}\\\\ \frac{5\±\sqrt{25+48} }{4}\\\\ \frac{5\±8.54 }{4}\\\\\frac{5+8.54 }{4},\frac{5-8.54 }{4} \\\\3.38 , 0.885](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5C%C2%B1%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5CBy%5C%20putting%5C%20all%5C%20value%5C%5C%5C%5C%20%5Cfrac%7B-%28-5%29%5C%C2%B1%5Csqrt%7B%28-5%29%5E2-4%282%29%28-6%29%7D%20%7D%7B2%282%29%7D%5C%5C%5C%5C%20%5Cfrac%7B5%5C%C2%B1%5Csqrt%7B25%2B48%7D%20%7D%7B4%7D%5C%5C%5C%5C%20%5Cfrac%7B5%5C%C2%B18.54%20%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B5%2B8.54%20%7D%7B4%7D%2C%5Cfrac%7B5-8.54%20%7D%7B4%7D%20%5C%5C%5C%5C3.38%20%2C%200.885)
Value of
3.38 , 0.885
In radical from 169/50 , 177/200
Answer: Mean = 23
Step-by-step explanation:
<u>Given information:</u>
35, 40, 12, 16, 25, 10
<u>Given formula:</u>
![Mean~=~\frac{Sum~of~terms}{Number~of~terms}](https://tex.z-dn.net/?f=Mean~%3D~%5Cfrac%7BSum~of~terms%7D%7BNumber~of~terms%7D)
<u>Substitute values into the formula</u>
![Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}](https://tex.z-dn.net/?f=Mean~%3D~%5Cfrac%7B35~%2B~40~%2B~12~%2B~16~%2B~25~%2B~10%7D%7B6%7D)
<u>Combine like terms</u>
![Mean~=~\frac{75~+~28~+~35}{6}](https://tex.z-dn.net/?f=Mean~%3D~%5Cfrac%7B75~%2B~28~%2B~35%7D%7B6%7D)
![Mean~=~\frac{103~+~35}{6}](https://tex.z-dn.net/?f=Mean~%3D~%5Cfrac%7B103~%2B~35%7D%7B6%7D)
![Mean~=~\frac{138}{6}](https://tex.z-dn.net/?f=Mean~%3D~%5Cfrac%7B138%7D%7B6%7D)
<u>Simplify the fraction</u>
![\Large\boxed{Mean=23}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BMean%3D23%7D)
Hope this helps!! :)
Please let me know if you have any questions
Juan's least integer scores in both tests will be 85 and 100 respectively.
- Test average of his two scores is atleast 92
Let :
- Score on test 1 = b
- Score on test 2 = b + 15
Average score can be related thus:
- (Sum of score ÷ number of test) ≥ 92
- (b + b + 15) ÷ 2 ≥ 92
- (2b + 15) ÷ 2 = 92
- 2b + 15 = 184
- 2b = 184 - 15
- 2b = 169
- b = 169 ÷ 2
- b = 84.5
Therefore, since both scores are integers, his least scores on both tests will be ::
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