On Monday, Brad biked 1 4/6 miles; Tuesday, 1 3/6 miles; Wednesday, 1 5/6 miles; and Thursday, 1 4/6 miles. On which day did he
2 answers:
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Work shown above! Answer is
a = 144
b = 67
a = 144
b = 67
Answer: The value of the integer that was removed = 4
Step-by-step explanation:
Sum of <em>n</em> values= Mean x <em>n</em>
Given: n = 7 , Mean = 16
Let x= integer removed.
Sum of remaining 6 integers = 6
Hence, the value of the integer that was removed = 4
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)