Answer:
The answer is B
Step-by-step explanation:
Since -2/3 multiplied by 3 equals -2, all you need to do is -2+1 which equals -1 which is the same number y is supposed to be.
Hope this helps
Answer:
52.09
Step-by-step explanation:
Follow the acronym PEMDAS (Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) for order of operations problems.
1. Solve what is in parentheses. (9 - 7) = 2
48 ÷ 23 + 25 (9 - 7) = 48 ÷ 23 + 25 × 2
2. Divide. 48 ÷ 23 = 2.09
2.09 + 25 × 2
3. Multiply. 25 × 2 = 50
2.09 + 50
4. Add. 2.09 + 50 = 52.0
I know that 52.09 wasn't one of the options listed, but it is the exact answer. If you must choose one of those options, choose 50, since it is the closest.
Answer:

Step-by-step explanation:
The derivative of
is calculated as follows:
![\dfrac{dF(x)}{dx}=\dfrac{d}{dx} [(5e^{4x})+(e^{-x^6})]](https://tex.z-dn.net/?f=%5Cdfrac%7BdF%28x%29%7D%7Bdx%7D%3D%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%285e%5E%7B4x%7D%29%2B%28e%5E%7B-x%5E6%7D%29%5D)
![\dfrac{dF(x)}{dx}=\dfrac{d}{dx} [(5e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})]](https://tex.z-dn.net/?f=%5Cdfrac%7BdF%28x%29%7D%7Bdx%7D%3D%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%285e%5E%7B4x%7D%29%5D%2B%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B-x%5E6%7D%29%5D)
![\dfrac{dF(x)}{dx}=5\dfrac{d}{dx} [(e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})]](https://tex.z-dn.net/?f=%5Cdfrac%7BdF%28x%29%7D%7Bdx%7D%3D5%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B4x%7D%29%5D%2B%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B-x%5E6%7D%29%5D)
using the chain rule we find that
![\dfrac{d}{dx} [(e^{4x})]= \dfrac{d}{d(4x)} [(e^{4x})]+ \dfrac{d}{dx} [4x] = 4e^{4x},](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B4x%7D%29%5D%3D%20%5Cdfrac%7Bd%7D%7Bd%284x%29%7D%20%5B%28e%5E%7B4x%7D%29%5D%2B%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B4x%5D%20%3D%204e%5E%7B4x%7D%2C)
![\dfrac{d}{dx} [(e^{-x^6})] = \dfrac{d}{d(-x^6)} [(e^{-x^6})]+\dfrac{d}{dx} [(-x^6})]= -6x^5e^{-x^6};](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B-x%5E6%7D%29%5D%20%3D%20%5Cdfrac%7Bd%7D%7Bd%28-x%5E6%29%7D%20%5B%28e%5E%7B-x%5E6%7D%29%5D%2B%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28-x%5E6%7D%29%5D%3D%20-6x%5E5e%5E%7B-x%5E6%7D%3B)
therefore,
![\dfrac{dF(x)}{dx}=5\dfrac{d}{dx} [(e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})] =5(4e^{4x})-6x^5e^{x^{-6}}](https://tex.z-dn.net/?f=%5Cdfrac%7BdF%28x%29%7D%7Bdx%7D%3D5%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B4x%7D%29%5D%2B%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%28e%5E%7B-x%5E6%7D%29%5D%20%3D5%284e%5E%7B4x%7D%29-6x%5E5e%5E%7Bx%5E%7B-6%7D%7D)

Answer:
see explanation
Step-by-step explanation:
(1)
3(x - 5)² = 48 ( divide both sides by 3 )
(x - 5)² = 16 ( take the square root of both sides )
x - 5 = ±
= ± 4 ( add 5 to both sides )
x = 5 ± 4
Thus
x = 5 - 4 = 1
x = 5 + 4 = 9
Solutions are x = 1, x = 9
(2)
2x² - 56 = 42 ( add 56 to both sides )
2x² = 98 ( divide both sides by 2 )
x² = 49 ( take the square root of both sides )
x = ±
= ± 7
Solutions are x = - 7, x = 7