Answer:
Karen has only 2 checkers left
Step-by-step explanation:
Jasper has 7 checkers than Karen
Jasper has 9 checkers
The equation can be written as
7 + k = 9
This means that 7 plus Karen checkers equal 9 which is jasper checkers
It can also be written as
9 - 7 = k
k = 2
Therefore Karen has only 2 checkers left
Answer:
4.8125 or 4 13/16
Step-by-step explanation:
(11 10/16 - 2 1/16) - 4 12/16
(9 9/16) - 4 12/16
4 .8125 or 4 13/16
Answer:
5 + i
Step-by-step explanation:
The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.
Now, in our case (5 - i) is a root of a polynomial.
The complex number (5 - i) has conjugate and it is (5 + i).
Therefore, (5 + i) will also be a root of the same polynomial. (Answer)
(1 point) Let pp be the quartic (degree 4) polynomial that satisfies p(i)=2i,i=0,1,2,3,4. p(i)=2i,i=0,1,2,3,4. Then p(x)=p(x)= .
julia-pushkina [17]
Answer:
a = 1/3
b = -3
c = 26/3
d = -6
e = 0
Step-by-step explanation:
Given the quartic polynomial
p(x)=ax⁴+bx³+cx²+dx+e and
p(i) =2i when i=0,1,2,3,4
If i = 0:
p(0) = 2(0)
p(0) = 0
0 = 0+0+0+0+0++e
e = 0
When i = 1
p(1) = 2(1) = 2
2 = a(1)⁴+b(1)³+c(1)²+d(1)+e
2 = a+b+c+d+0
a+b+c+d = 0... (1)
When i = 2, p(2) = 2(2)
p(2) = 4
4 = a(2)⁴+b(2)³+c(2)²+d(2)+e
4 = 16a+8b+4c+2d+0
16a+8b+4c+2d = 4
8a+4b+2c+d = 2... (2)
When i = 3
p(3) = 8
8 = a(3)⁴+b(3)³+c(3)²+d(3)+0
8 = 81a+27b+9c+3d..(3)
When i = 4
p(4) =16
16 = a(4)⁴+b(4)³+c(4)²+d(4)+0
16 = 256a+64b+16c+4d
64a+16b+4c+d = 4...(4)
Solving equation 1 to 4 simultaneously.
Check the attachment for solution.
$46656..... you multiply the $43200 by the 8% which would be .08 then you have 3456, so you add 3456 to your original number and it gives you 46656
