Answer:
216
Step-by-step explanation:
4x+8yz+3y
Let x=3 y=4 z=6
Substitute the values into the expression
4(3)+8(4)(6)+3(4)
Multiply first
12+192+12
Then add
216
Answer:
![\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c](https://tex.z-dn.net/?f=%5Cfrac%7B27a%5E9%20%2A%2018b%5E5%20%2A%204c%5E2%20%7D%7B18a%5E4%20%2A%2012b%5E2%20%2A%202c%7D%20%3D%20%5Cfrac%7B9%7D%7B2%7Da%5E5b%5E3c)
Step-by-step explanation:
Given
![\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}](https://tex.z-dn.net/?f=%5Cfrac%7B27a%5E9%20%2A%2018b%5E5%20%2A%204c%5E2%20%7D%7B18a%5E4%20%2A%2012b%5E2%20%2A%202c%7D)
Required
Simplify
![\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}](https://tex.z-dn.net/?f=%5Cfrac%7B27a%5E9%20%2A%2018b%5E5%20%2A%204c%5E2%20%7D%7B18a%5E4%20%2A%2012b%5E2%20%2A%202c%7D)
Cancel out 18
![\frac{27a^9 * b^5 * 4c^2 }{a^4 * 12b^2 * 2c}](https://tex.z-dn.net/?f=%5Cfrac%7B27a%5E9%20%2A%20b%5E5%20%2A%204c%5E2%20%7D%7Ba%5E4%20%2A%2012b%5E2%20%2A%202c%7D)
Divide 4 and 2
![\frac{27a^9 * b^5 * 2c^2 }{a^4 * 12b^2 *c}](https://tex.z-dn.net/?f=%5Cfrac%7B27a%5E9%20%2A%20b%5E5%20%2A%202c%5E2%20%7D%7Ba%5E4%20%2A%2012b%5E2%20%2Ac%7D)
Divide 27 and 12 by 3
![\frac{9a^9 * b^5 * 2c^2 }{a^4 * 4b^2 *c}](https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E9%20%2A%20b%5E5%20%2A%202c%5E2%20%7D%7Ba%5E4%20%2A%204b%5E2%20%2Ac%7D)
Apply law of indices
![\frac{9a^{9-4} * b^{5-2} * 2c^{2-1} }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E%7B9-4%7D%20%2A%20b%5E%7B5-2%7D%20%2A%202c%5E%7B2-1%7D%20%7D%7B4%7D)
![\frac{9a^5 * b^3 * 2c }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E5%20%2A%20b%5E3%20%2A%202c%20%7D%7B4%7D)
Divide 2 and 4
![\frac{9a^5 * b^3 * c}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E5%20%2A%20b%5E3%20%2A%20c%7D%7B2%7D)
![\frac{9a^5b^3c}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E5b%5E3c%7D%7B2%7D)
Rewrite as:
![\frac{9}{2}a^5b^3c](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7Da%5E5b%5E3c)
Hence:
![\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c](https://tex.z-dn.net/?f=%5Cfrac%7B27a%5E9%20%2A%2018b%5E5%20%2A%204c%5E2%20%7D%7B18a%5E4%20%2A%2012b%5E2%20%2A%202c%7D%20%3D%20%5Cfrac%7B9%7D%7B2%7Da%5E5b%5E3c)
Answer: B. 31
Step-by-step explanation:
This linear regression was constructed by relating the hours practiced per week and the number of competitions won.
Going by this graph, the number of competitions they can expect to win at 5 practices a week is 31.
This is derived by looking for the point where 5 competitions on the x-axis intersects with the line. This point is at 31 competitions on the y axis which would make it the answer.