Answer:
Option D.
Step-by-step explanation:
Consider option D. ![y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3](https://tex.z-dn.net/?f=y%5Cleq%20%5Cfrac%7B3x%7D%7B4%7D%2B10%5C%2C%2C%5C%2Cy%5Cleq%20%5Cfrac%7B-x%7D%7B2%7D-3)
Take point (0,0)
On putting this point in inequation
, we get
which is true . So, solution is region towards the origin i,e region below the line
including the line itself .
On putting (0,0) in inequation
, we get
which is false , so solution is region away from the origin i.e region below line
including the line itself .
So, common solution to both the inequations is the shaded part in the given figure .
In other words, we can say that the graph shown in the given figure represents system of equations: ![y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3](https://tex.z-dn.net/?f=y%5Cleq%20%5Cfrac%7B3x%7D%7B4%7D%2B10%5C%2C%2C%5C%2Cy%5Cleq%20%5Cfrac%7B-x%7D%7B2%7D-3)
Answer:
$72
Step-by-step explanation:
Multiply $120*0.40 to see how much money is being taken off, this equals $48. Remember that this $48 is how much you want to remove from $120, so 120-48=72.
9514 1404 393
Answer:
C log3(√((x -4)/x)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^n) = n·log(a)
The base is irrelevant, as long as all logs are to the same base.
__
![\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%28%5Clog_3%7B%28x-4%29%7D-%5Clog_3%7B%28x%29%7D%29%3D%5Cdfrac%7B1%7D%7B2%7D%5Clog_3%28%5Cdfrac%7Bx-4%7D%7Bx%7D%29%3D%5Cboxed%7B%5Clog_3%5Cleft%28%5Csqrt%7B%5Cdfrac%7Bx-4%7D%7Bx%7D%7D%5Cright%29%7D)
Answer:
this is only worth 40 points not 80
Step-by-step explanation:
make me a brainliest and i will answer maybe