![\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}\\\\ -------------------------------\\\\ f(x)=2(3)^x \qquad \begin{cases} x_1=0\\ x_2=1 \end{cases}\implies \cfrac{f(1)-f(0)}{1-0}\implies \cfrac{2(3)^1-2(3)^0}{1}\\\\ -------------------------------\\\\ f(x)=2(3)^x \qquad \begin{cases} x_1=2\\ x_2=3 \end{cases}\implies \cfrac{f(3)-f(2)}{3-2}\implies \cfrac{2(3)^3-2(3)^2}{1}](https://tex.z-dn.net/?f=%5Cbf%20slope%20%3D%20%7B%7B%20m%7D%7D%3D%20%5Ccfrac%7Brise%7D%7Brun%7D%20%5Cimplies%20%0A%5Ccfrac%7B%7B%7B%20f%28x_2%29%7D%7D-%7B%7B%20f%28x_1%29%7D%7D%7D%7B%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%7D%5Cimpliedby%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Aaverage%5C%20rate%5C%5C%0Aof%5C%20change%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Af%28x%29%3D2%283%29%5Ex%20%20%20%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ax_1%3D0%5C%5C%0Ax_2%3D1%0A%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7Bf%281%29-f%280%29%7D%7B1-0%7D%5Cimplies%20%5Ccfrac%7B2%283%29%5E1-2%283%29%5E0%7D%7B1%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Af%28x%29%3D2%283%29%5Ex%20%20%20%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ax_1%3D2%5C%5C%0Ax_2%3D3%0A%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7Bf%283%29-f%282%29%7D%7B3-2%7D%5Cimplies%20%5Ccfrac%7B2%283%29%5E3-2%283%29%5E2%7D%7B1%7D)
part B)
how many times? 9 times larger
how so? well, is an exponential function, anything raised at the 0 exponent, is 1, no matter what the number is
and anything raised at the 1 exponent is itself, no matter what number it is
after 0 and 1, the base number is multiplying itself that many times, and that's a larger value.
0.4x10^-3
Adding random characters here.
Answer:
There will be $7,900.
Step-by-step explanation:
Seeing as it will double every EIGHT years, and 5 is less than eight, the amount will stay the same.
Answer:
Step-by-step explanation:
x^3 - 8x² - x + 8 =0
x^3 - 8x² - (x - 8 )=0
x²(x-8) - (x-8) = 0
(x-8)(x² -1) =0
x-8 = 0 or x² - 1 = 0
x-8=0 or (x-1)(x+1)=0
x=8 x=1 or x=-1
Answer:
18 I guess if he can swim straightdown and straight up :-)
Step-by-step explanation:
9+9=18