Answer:
Step-by-step explanation:
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Answer:
19. 5x²y⁷
20. a³b²c⁷
21. 4a³b⁴
Step-by-step explanation:
hope i helped! good luck in class!!
Step-by-step explanation:
<h2>Solution−</h2>
<h3>Given expression is ,</h3>
![\large{lim_{x→5} \: \frac{ {x}^{2} - 5 }{ {x}^{2} + x - 30} }](https://tex.z-dn.net/?f=%20%5Clarge%7Blim_%7Bx%E2%86%925%7D%20%5C%3A%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%205%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%20x%20-%2030%7D%20%7D)
if we substitute directly x=5, we get
![\longrightarrow \: \frac{ {5}^{2} - 5}{ {5}^{2} + 5 - 30 }](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%5C%3A%20%20%5Cfrac%7B%20%7B5%7D%5E%7B2%7D%20%20-%205%7D%7B%20%7B5%7D%5E%7B2%7D%20%2B%205%20-%2030%20%7D%20)
![\longrightarrow \: \frac{25 - 5}{30 - 30}](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5C%3A%20%20%5Cfrac%7B25%20-%205%7D%7B30%20-%2030%7D%20)
![\longrightarrow \: \frac{20}{0}](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5C%3A%20%20%5Cfrac%7B20%7D%7B0%7D%20)
![\longrightarrow \: \infty](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5C%3A%20%20%5Cinfty%20)
Hence,
![{\red{ \boxed{\large{lim_{x→5} \: \frac{ {x}^{2} - 5 }{ {x}^{2} + x - 30 } = \infty}}}}](https://tex.z-dn.net/?f=%20%7B%5Cred%7B%20%5Cboxed%7B%5Clarge%7Blim_%7Bx%E2%86%925%7D%20%5C%3A%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%205%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%20x%20-%2030%20%7D%20%20%3D%20%20%5Cinfty%7D%7D%7D%7D)
Answer:
n=16
Step-by-step explanation:
Make an equation
Three times a number minus 9–> 3n-9
Times means multiply, and minus means subtract
Equals two times the number plus 7–> =2n+7
Times means multiply, and plus means add
3n-9=2n+7
Solve for n, by getting n by itself
Subtract 2n from both sides
3n-2n-9=2n-2n+7
n-9=7
Add 9 to both sides
n-9+9=7+9
n=16