Answer:
Andy added 70 to 5 instead of multiplying 70 by 5.
Step-by-step explanation:
We have been given that Mrs.Ruiz bought 5 bags of balloons for a party. Each bag contained 70 balloons. Andy said Mrs.Ruiz bough a total of 75. Andy is incorrect what error did Andy make when calculating the total number of balloons.
To find the total number of balloons in 5 bags, we will multiply number of balloons in each bag by 5.
Therefore, the total number of balloons in 5 bags would be 350 balloons.
Andy added 70 to 5 instead of multiplying 70 by 5.
Answer:
x = 3
Explanation:
To simplify this equation, don't worry about the -3, since there is one on both sides. Therefore, they cancel out.
So, 9 + x = 4x
When you plug 3 in for x, it becomes:
9 + 3 = 4 x 3
12 = 12
This equation is true, therefore, x is your answer!
![\bf f(x)=(x-6)e^{-3x}\\\\ -----------------------------\\\\ \cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)] \\\\\\ \cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%28x-6%29e%5E%7B-3x%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3D1%5Ccdot%20e%5E%7B-3x%7D%2B%28x-6%29-3e%5E%7B-3x%7D%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%5B1-3%28x-6%29%5D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%2819-3x%29%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Ccfrac%7B19-3x%7D%7Be%5E%7B3x%7D%7D)
set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there
there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
Answer: Maybe B
Step-by-step explanation:
