Fwee points UwU : DDDDD
2 answers:
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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)
Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle
step 1
Find the area of the triangle
The area of the triangle is equal to
we have
To find out the height of the triangle Apply the Pythagorean Theorem
solve for h
<em>Find the area of triangle</em>
step 2
Find the area of rectangle
The area of rectangle is equal to
we have
substitute
step 3
Find the area of the figure
Adds the areas
Answer:
see attached graph
Step-by-step explanation:
You graphs look fine. The only thing I can think of without seeing the question itself, its that perhaps the teacher wants them on the same graph?
