Answer:
x = 3
Step-by-step explanation:
7(x + 1) + 2 = 5x + 15
~Simplify left side
7x + 7 + 2 = 5x + 15
~Combine like terms
7x + 9 = 5x + 15
~Subtract 9 to both sides
7x = 5x + 6
~Subtract 5x to both sides
2x = 6
~Divide 2 to both sides
x = 3
Best of Luck!
Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Answer:
1.8940279x10^9+27
Step-by-step explanation:
![5.972(10^{24} )-1.9(10^{27})\\5.972(1e+24) -1.9(1e+27)\\](https://tex.z-dn.net/?f=5.972%2810%5E%7B24%7D%20%29-1.9%2810%5E%7B27%7D%29%5C%5C5.972%281e%2B24%29%20-1.9%281e%2B27%29%5C%5C)
If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is <em>true</em>;<em> </em>however, if both numbers are negative, or if the number of which she finds 50% is much greater than the number of which she finds 75%, Leila's theory could be incorrect.
This inequality shows that Leila is correct:
![100(0.75) \geq 50(0.50)](https://tex.z-dn.net/?f=100%280.75%29%20%5Cgeq%2050%280.50%29)
(which simplifies to
![75 \geq 25](https://tex.z-dn.net/?f=75%20%5Cgeq%2025)
)
This inequality shows that Leila is incorrect:
![50(0.75) \geq 100(0.50)](https://tex.z-dn.net/?f=50%280.75%29%20%5Cgeq%20100%280.50%29)
(which simplifies to
![37.5 \geq 50](https://tex.z-dn.net/?f=37.5%20%5Cgeq%2050)
)
Hope this helps!