Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)
=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
The answer will be $13.72 for 7 bags of popcorn.
to find this answer, you first take 5.88 and divide it by 3 to find out how much one bag costs.
the answer to 5.88/3 is 1.96, so you multiply 1.96 by 7 to get the answer of how much 7 bags of popcorn will cost.
hope this helps!
Answer:
Urban area = 58.27%
Suburban area = 34.83%
Rural area = 6.9%
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Total number of women = 290
Number of women in urban area = 169
Suburban area women = 101
Rural are women = 20
So, we can calculate the percentage of number of women from each area by using following formula,
Percentage = Women in specific area ÷ total women
So, percentage of Urban area = 169 ÷ 290 = 0.5827 or 58.27%
percentage of suburban area = 101 ÷ 290 = 0.3483 or 34.83%
percentage of rural area = 20 ÷ 290 = 0.0690 or 6.9%
Pie chart for the given information is attached below.
Answer:
If your vertex is at the orgin you can't have a point on (6,0)
Step-by-step explanation:
