Answer:
1.) x-7
Step-by-step explanation:
hope it helps
Standard form of quadrating function ax^2 + bx + c
a > 1, the graph gets smaller as a gets bigger
0<a<1 the graph gets wider
1. x^2
2. 2x^2
3. 3x^2
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
2.1
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
2.1
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
5
and
r
=
2.1
.
a
n
=
(
5
)
⋅
(
2.1
)
n
−
1
Remove parentheses around
2.1
.
a
n
=
5
⋅
2.1
n
−
1
Step-by-step explanation:
The square root of 325 is 18.03
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
