Answer:
-8
Step-by-step explanation:
(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear
19x=-152
x=-8
Answer:
All the values of k are -4, -3, -2, -1, 0 , 1
Step-by-step explanation:
Given;
- 4≤ k ≤ 1
The range of value of k is between -4 and 1.
These values are listed as follows;
k = -4, -3, -2, -1, 0 , 1
Therefore, all the values of k are -4, -3, -2, -1, 0 , 1
<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12

So volume is

At maximum volume we have derivative is zero,

Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
Answer:
I would rename the trapezoid. I would rename it a semi-hexagon, because it is basically half of a hexagon.
4 is the answer, divide both sides by 3 and get 4