7 9/11 = 7.81 with a line over the 81 because it is repeating
15/720 = 0.020
7.58
7.812
least to greatest : 15/720, 7.58 , 7.812 , 7 9/11
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 volume of the prism given its dimensions is equal to 160 cubic units.
<h3>What is the volume of the
prism?</h3>
The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.
- One of the prisms have the dimensions: 4 x 4 x 5.
Volume = 80
- The other prism has the dimensions: 8 x 2 x 5.
Volume = 80
Volume of the prism = 80 x 2 = 160 cubic units.
To learn more about rectangular prisms, please check: brainly.com/question/8890358
<span>z=5-2i
</span><span>|z| = [ (5^2 + (-2)^2) ] ^ 0.5
= ( 25+4) ^ 0.5
= 29^0.5 </span>
It is a root of the polynomial if it causes the equation to equal 0.
Let's try each number.
Substituting -3 for x...
(-3)³ - 4(-3)² -11(-3) + 30
-27 - 36 + 33 + 30
0
Therefore, a. -3 is a root to our polynomial.
You could try the rest, but I won't waste time with it. None of the others are roots, and it's multiple choice which means usually just one answer.
