<h3>
Answer:</h3>
- (a) x = 50 maximizes the area. We assume that means 50 ft × 50 ft
- (b) 2500 ft²
- (c) domain: 0 ≤ x ≤ 100; range: 0 ≤ A ≤ 2500
<h3>
Step-by-step explanation:</h3>
(a) The function describes a parabola that opens downward. The value of A(x) is zero when x=0 and when x=100. The vertex (maximum) is halfway between those zeros, at x=50. The dimensions are 50 and 100-50 = 50. The maximum area pen will be 50 ft square.
(b) A(50) = (50 ft)² = 2500 ft² . . . the maximum area
(c) A(x) will be negative if x < 0 or x > 100, so the domain is 0 ≤ x ≤ 100.
The value of A(x) ranges from 0 to its maximum, 2500. Hence the range is 0 ≤ A(x) ≤ 2500.
Answer:
about 14.28% for 1/7th
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3x=2x+5
3x-2x=5
x=5
Answer: x=5
Step-by-step explanation:
Inverse of
y
=
x
+
3
x
−
2
is
y
=
2
x
+
3
x
−
1
Explanation:
As
y
=
x
+
3
x
−
2
x
y
−
2
y
=
x
+
3
or
x
y
−
x
=
2
y
+
3
or
x
(
y
−
1
)
=
2
y
+
3
or
x
=
2
y
+
3
y
−
1
Hence inverse of
y
=
x
+
3
x
−
2
is
y
=
2
x
+
3
x
−
1
Observe that each of the function is a reflection of the other in the line
x
=
y
.
graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}
2/9 chances of getting a yellow because 4 + 3 + 2 is 9 and there is 2 yellow marbles in the bag.
