Answer:
Step-by-step explanation:
Perimeter = 84 feet
Side One = Side Two + 12 feet
Side Two + 17 = Side Three
Side Two + Side Two = Side Four
Perimeter = (Side Two + 12) + (Side Two) + (Side Two + 17) + (Side Two + Side Two) = 5 x (Side Two) + 29 = 84
5x + 29 = 84
5x = 55
x = 11
Side Two = 11 feet
Side One = 11 + 12 = 23 feet
Side Three = 11 + 17 = 28 feet
Side Four = 11 X 2 = 22 feet
5x^2 + 7x = 6
5x^2 + 7x -6 = 0
5x^2 + 10x -3x -6 =0
5x × (x + 2) -3 (x + 2) = 0
(x + 2) × (5x - 3) = 0
x + 2 = 0
5x - 3 = 0
x = -2
x = 3/5
answer: x = -2, x = 3/5
![\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:
x= -12
Step-by-step explanation:
move variable to left and change its sign
= 4x - 20 = -68
move constant to the right and change its sign
= 4x = -68 + 20
calucate the sum
= 4x = -48
divide both sides of the equation by 4
x= -12
Answer:
x = 20
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
