Answer:
Step-by-step explanation:
A polynomial function is given by the form:
Where a is the leading coefficient, and <em>p</em> and <em>q</em> are the roots (more can be added if necessary).
Our zeros are 3 and (-2 + 2i).
And our leading coefficient <em>a </em>= 1.
Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.
So, by substitution, we acquire:
Simplify:
Expand the second and third factors:
Therefore, our polynomial function of least degree and the given zeros will be:
1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48
1/3 + 1/6 + 1/12 + 1/24 + 1/48
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48
16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48
Bobby ate 31/48 of the cake in total.
Answer:
The maximum area is 4434.5 feet square.
Step-by-step explanation:
The fence maximum area it need to be fenced have to be shaped as circle. First we need to find radius of the circle:
Maximum area will be fenced is:
-4x-2(8x=1)=-(2x-10)
-First, use the distributive property.
So distribute -2 to 8x=1 then distribute the negative - to (2x-10)
So it'd be: -4x-16x=-2=-2x+10
Then combine like terms:
-20x=-2=-2x+10
-18x=-2=10
-18x=8
Divide -18x by 8
x=-2.25
7/10 = 0.70(7 divided by 10)
3/5 = 0.60(3 divided by 5)
9/11 = 0.81(9 divided by 11)
1/2 = 0.50 (1 divided by 2)
Answer: 9/11
