Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
Answer:
Yes
Step-by-step explanation:
the given function is exponential, because x is the exponent of 3
part A)
![\bf \begin{array}{ccllll} hours(x)&velocity(y)\\ -----&-----\\ 1&6\\ 3&2 \end{array}\\\\ -------------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccllll%7D%0Ahours%28x%29%26velocity%28y%29%5C%5C%0A-----%26-----%5C%5C%0A1%266%5C%5C%0A3%262%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)
![\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ 6}})\quad % (c,d) &({{ 3}}\quad ,&{{ 2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-6}{3-1}\implies \cfrac{-4}{2}\implies -2](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blllll%7D%0A%26x_1%26y_1%26x_2%26y_2%5C%5C%0A%25%20%20%20%28a%2Cb%29%0A%26%28%7B%7B%201%7D%7D%5Cquad%20%2C%26%7B%7B%206%7D%7D%29%5Cquad%20%0A%25%20%20%20%28c%2Cd%29%0A%26%28%7B%7B%203%7D%7D%5Cquad%20%2C%26%7B%7B%202%7D%7D%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%7B%7B%20m%7D%7D%3D%20%5Ccfrac%7Brise%7D%7Brun%7D%20%5Cimplies%20%0A%5Ccfrac%7B%7B%7B%20y_2%7D%7D-%7B%7B%20y_1%7D%7D%7D%7B%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%7D%5Cimplies%20%5Ccfrac%7B2-6%7D%7B3-1%7D%5Cimplies%20%5Ccfrac%7B-4%7D%7B2%7D%5Cimplies%20-2)
![\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-6=-2(x-1)\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-6=-2x+2\implies y=-2x+2+6\implies \boxed{y=-2x+8}](https://tex.z-dn.net/?f=%5Cbf%20y-%7B%7B%20y_1%7D%7D%3D%7B%7B%20m%7D%7D%28x-%7B%7B%20x_1%7D%7D%29%5Cimplies%20y-6%3D-2%28x-1%29%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%20%5Cright.%20%5Cuparrow%5C%5C%0A%5Ctextit%7Bpoint-slope%20form%7D%0A%5C%5C%5C%5C%5C%5C%0Ay-6%3D-2x%2B2%5Cimplies%20y%3D-2x%2B2%2B6%5Cimplies%20%5Cboxed%7By%3D-2x%2B8%7D)
part B)
well, we know y = -2x+8.... so.. what's the runner's velocity after 5hours? well, x = 5, thus y = -2(5) +8 ---> y = -2
to graph it, well, is a LINEar equation, meaning the graph is a LINE, and to graph a line, all you need is two points, and by now, you have more than two.. so graph it away.
Answer:
0.5
Step-by-step explanation:
PEDMAS
2/3y = 18
y = 18 / (2/3)
y = 18 * 3/2
y = 54/2
y = 27 <==