Answer:
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Step-by-step explanation:
First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.
First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19
Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21
Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Answer:
30%, or 1/3
Step-by-step explanation:
If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.
Hope this helps! :)
Step-by-step explanation:
Here you solve for length width and height, which multiplied equal volume. The only constant you have is that the width of the prism is 1/3 of its length.
WIDTH: 3 centimeters
LENGTH: Since the width is 1/3 of the length, 3 is 1/3 of something. So divide 3 by 1/3 to get 9. You can also just multiply 3 by 3.
HEIGHT: The height is half of the width, which is 3. Therefore 3 divided by 2 is 1.5.
Now multiply the values. 3 multiplied by 9 multiplied by 1.5
The answer is 40.5
CENTIMETERS!!!
DO NOT FORGET THE UNIT
(5x/2)-y=8 Is the standard form equation <3
