The answer is A. This is because in A, you are subtracting 2 from X, instead of X from 2.
Answer:
12/5 or 2⅖
Step-by-step explanation:
2x/3 = 8/5
2x = 3 × 8/5
2x = 24/5
x = 24/5 ÷ 2
x = 12/5
Or 2⅖
Answer:
Ans; Base=19.799cm
each of the other two sides=14cm
Step-by-step explanation:
two isosceles triangles are going to give you a square. So that means the area of the square will be 2(98cm^2) cos u added two of the triangles.There fore to get each side of the square, find the square root of the area of the square.you will get 14cm.that is equal to the length of the other two sides of the triangle. the base of the triangle is equal to the diagonals of the square(d=s√2).Use that to find the base of the triangle. Hope this helps.I am not good at explaining though
The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.
The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.
The maximum profit the company can make is $640,000.
he volume of the solid under a surface
z
=
f
(
x
,
y
)
and above a region D is given by the formula
∫
∫
D
f
(
x
,
y
)
d
A
.
Here
f
(
x
,
y
)
=
6
x
y
. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the
x
y
−
plane. The bounding equations of the triangle are found using the point-slope formula as
x
=
1
,
y
=
1
and
y
=
−
x
3
+
7
3
.
Here is a sketch of the triangle:
Intersecting Region
The inequalities that describe D are given by the sketch as:
1
≤
x
≤
4
and
1
≤
y
≤
−
x
3
+
7
3
.
Therefore, volume is
V
=
∫
4
1
∫
−
x
3
+
7
3
1
6
x
y
d
y
d
x
=
∫
4
1
6
x
[
y
2
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
y
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
49
9
−
14
x
9
+
x
2
9
−
1
]
d
x
=
3
∫
4
1
40
x
9
−
14
x
2
9
+
x
3
9
d
x
=
3
[
40
x
2
18
−
14
x
3
27
+
x
4
36
]
4
1
=
3
[
(
640
18
−
896
27
+
256
36
)
−
(
40
18
−
14
27
+
1
36
)
]
=
23.25
.
Volume is
23.25
.
