Answer:
Step-by-step explanation:
When you have something like that, just think that the first number goes on top and the second number goes on bottom.
A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.
2 answers:
Answer:
Step-by-step explanation:
A scuba diver is 3.8 meters below the surface of the water.
So, Depth of scuba driver is - 3.8 m
He is descending at a rate of 0.5 meters per minute.
So, Rate = -0.5 m . min
So,Distance traveled in x minutes = -0.05 x
So, The depth after x minutes = -3.8-0.5x
So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is -3.8-0.5x
The variable x represents the no. of minutes .
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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)