F(x) sqrt x+4 (the last one) is your answer!!!
Answer:
Graph the system of inequalities. 2x + y 21 x + 3y <-3 у Name two points that are solutions .
Answer:
I believe it's 12
Step-by-step explanation:
2:3 (3 divided by 2)
4:6 (6 divided by 4)
18:27 (27 divided by 18)
(They all are divided by 1.5)
8 times 1.5 =12
Answer:
c 30 inches
Step-by-step explanation:
![\bf \begin{array}{cccccclllll} \textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\ \textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\ y&=&{{ k}}&\cdot&x \\ && y={{ k }}x \end{array}\\\\ ---------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bcccccclllll%7D%0A%5Ctextit%7Bsomething%7D%26%26%5Ctextit%7Bvaries%20directly%20to%7D%26%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Ctextit%7Bsomething%7D%26%3D%26%7B%7B%20%5Ctextit%7Bsome%20value%7D%7D%7D%26%5Ccdot%20%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0Ay%26%3D%26%7B%7B%20k%7D%7D%26%5Ccdot%26x%0A%5C%5C%0A%26%26%20%20y%3D%7B%7B%20k%20%7D%7Dx%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A---------------------------%5C%5C%5C%5C)
![\bf \textit{the houses "h", varies directly, to the square diameter }d^2 \\\\\\ h=kd^2 \\\\\\ \textit{when the diameter is 10, the houses served are 50}\quad \begin{cases} h=50\\ d=10 \end{cases} \\\\\\ 50=10^2k\implies \cfrac{50}{100}=k\implies \cfrac{1}{2}=k\\\\ -----------------------------\\\\ h=\cfrac{1}{2}d^2](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bthe%20houses%20%22h%22%2C%20varies%20directly%2C%20to%20the%20square%20diameter%20%7Dd%5E2%0A%5C%5C%5C%5C%5C%5C%0Ah%3Dkd%5E2%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bwhen%20the%20diameter%20is%2010%2C%20the%20houses%20served%20are%2050%7D%5Cquad%20%0A%5Cbegin%7Bcases%7D%0Ah%3D50%5C%5C%0Ad%3D10%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A50%3D10%5E2k%5Cimplies%20%5Ccfrac%7B50%7D%7B100%7D%3Dk%5Cimplies%20%5Ccfrac%7B1%7D%7B2%7D%3Dk%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Ah%3D%5Ccfrac%7B1%7D%7B2%7Dd%5E2)
so "k", or the "constant of variation" is 1/2
now
![\bf a)\qquad h=\cfrac{1}{2}\cdot 50^2\qquad \qquad b)\qquad 3200=\cfrac{1}{2}\cdot d^2](https://tex.z-dn.net/?f=%5Cbf%20a%29%5Cqquad%20%20h%3D%5Ccfrac%7B1%7D%7B2%7D%5Ccdot%2050%5E2%5Cqquad%20%5Cqquad%20b%29%5Cqquad%203200%3D%5Ccfrac%7B1%7D%7B2%7D%5Ccdot%20%20d%5E2)
for a) get "h", and for "b", solve for "d"