Answer:
no solution
Step-by-step explanation:
the equations (lines in the graph)they don't colide meaning they don't have a solution
Solve the inequality just like you would solve an equation
<span>3x - 12 > 15
add 12 to both sides
3x > 27
divide both sides by 3
x > 9
Or read as "the solution to </span><span>3x - 12 > 15 is x is greater than 9"
Hope this helps :)</span>
So, bike=b and accessories=a.
b+a=320
Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).
The equation would now turn into 7a+a=320.
Solve for a.
7a+a=320
8a=320
a=40
Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.
40(7)
280
The cost of the bike is $280.
The cost of the accessories are/is $40.
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as , where and .
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
,
This means the maximum volume occurs at .
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.