Answer:
-3
3x/(x^2+6x) = 1 is this the qstn?
if so then the ans is -3
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.
y2-y1 =M(x2-x1)
Ok Sir, you gave points : (2,1) and (3,4)
4-1/3-2 = 3
Ok we know our slope is 3, now pick any of the two points, and make an equation for this line, so lets go ahead and pick #1, (2,1)
Formula is same as before
y-1=3x-6
y=3x-5
I think its correct, pick as brainless sir, thanks.
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
Solve:
- 5x - 15 = 2x + 15
- 5x - 30 = 2x
- 5x = 2x + 30
- 3x = 30
- x = 10
So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
Set it up in a proportion.
8 (oil)/5 (salad dressing) = x/7
cross multiply to get 11.2