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:
Step-by-step explanation:
Although the way you wrote problem, this is not what it looks like, I think this is what you meant.
the answer is 4.8. Your welcome
The length of the hypotenuse = √(-3^2 +1^2) = √10
The point -3,1 tell us the length of y is 1 and the length of x is 3.
This would make opposite = 1 and adjacent = -3
Sinθ = opposite/hypotenuse = 1/√10 = √10/10
Cosθ = adjacent/hypotenuse = -3/√10 = - 3√10/10
Tanθ = opposite/adjacent = 1/-3 = -1/3
So i'm assuming your eqtn is h = -16t^2 + 27t + 10
and we're looking for t = ? when h = 0
=> 16t^2 - 27t - 10 = 0
(16t + 5)(t - 2) = 0
t = 2 and t = -5/16
answer 2 seconds
