If we collect like terms of the first equation, we can simplify to
2x - 8 = 180
If we add 8 to both sides, we get
2x = 188
And that means x = 94
If we substitute this into the second equation, we get
7(94) - 8 = ?
7 x 94 is equal to 658
658 - 8 = 650
Answer:
1 3/8
Step-by-step explanation:
Possible derivation:
d/dx(1/8 (-2 + 3 x))
Factor out constants:
= 1/8 (d/dx(-2 + 3 x))
Differentiate the sum term by term and factor out constants:
= 1/8 d/dx(-2) + 3 d/dx(x)
The derivative of -2 is zero:
= 1/8 (3 (d/dx(x)) + 0)
Simplify the expression:
= 3/8 (d/dx(x))
The derivative of x is 1:
Answer: = 1 3/8
Answer:
![\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cln%5Csqrt%5B3%5D%7Be%5E4%7D%3D%5Cdfrac%7B4%7D%7B3%7D%7D)
Step-by-step explanation:
![\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5C%5Csqrt%5Bn%5D%7Ba%5Em%7D%3Da%5E%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cln%20a%5En%3Dn%5Cln%20a%5C%5C%5C%5C%5Cln%20e%3D1%5C%5C-----------%5C%5C%5C%5C%5Cln%5Csqrt%5B3%5D%7Be%5E4%7D%3D%5Cln%20e%5E%5Cfrac%7B4%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7B3%7D%5Cln%20e%3D%5Cdfrac%7B4%7D%7B3%7D%5Ccdot1%3D%5Cdfrac%7B4%7D%7B3%7D)
Answer:
33 meters.
Step-by-step explanation:
You're trying to find the difference between 86 and 53. To find that, you would do 86-53.
There would be five white flowers and three yellow flowers in every vase. (additional info) Meaning there will be 6 vases.
