A. f(x^2+5x)=1/x(x+5)
B. Domain:
(−∞,−5)∪(−5,0)∪(0,∞),{x|x≠0,−5}
Range: (−∞,−4/25]∪(0,∞),{y∣y≤−4/25,y>0}
The explanation is hard like the question lol
Answer:
m = 0.956
Step-by-step explanation:
Yes, you are doing it correctly.
![\begin{array}{rcll}\log(0.00786391)&= & m \times\log(0.0063)&\\\\m & = & \dfrac{\log(0.00786391)}{ \log(0.0063)} & \text{Divided each side by log(0.0063)}\\\\& = & \dfrac{-2.104361}{-2.20} & \text{Took the logarithms}\\\\& = & \mathbf{0.956} &\text{Did the division}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D%5Clog%280.00786391%29%26%3D%20%26%20m%20%5Ctimes%5Clog%280.0063%29%26%5C%5C%5C%5Cm%20%26%20%3D%20%26%20%5Cdfrac%7B%5Clog%280.00786391%29%7D%7B%20%5Clog%280.0063%29%7D%20%26%20%5Ctext%7BDivided%20each%20side%20by%20log%280.0063%29%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cdfrac%7B-2.104361%7D%7B-2.20%7D%20%26%20%5Ctext%7BTook%20the%20logarithms%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cmathbf%7B0.956%7D%20%26%5Ctext%7BDid%20the%20division%7D%5C%5C%5Cend%7Barray%7D)
Answer:
![\sf 2\dfrac{1}{4}\ cups \ of \ sugar](https://tex.z-dn.net/?f=%5Csf%20%202%5Cdfrac%7B1%7D%7B4%7D%5C%20cups%20%5C%20of%20%5C%20sugar)
Explanation:
Let the full batch be x
Here given:
3/4 cup of sugar required to make 1/3 batch of cookies
Build equation:
![\sf \rightarrow \dfrac{1}{3}x = \dfrac{3}{4} \ cup \ of \ sugar](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20%5Cdfrac%7B1%7D%7B3%7Dx%20%20%3D%20%5Cdfrac%7B3%7D%7B4%7D%20%5C%20cup%20%5C%20of%20%5C%20sugar)
Solve:
![\sf \rightarrow x = \dfrac{3(3)}{1(4)}](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20x%20%20%3D%20%5Cdfrac%7B3%283%29%7D%7B1%284%29%7D)
![\sf \rightarrow x = \dfrac{9}{4}](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20x%20%20%3D%20%5Cdfrac%7B9%7D%7B4%7D)
![\rightarrow \sf x = 2\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%20x%20%3D%202%5Cdfrac%7B1%7D%7B4%7D)