What is the quotient of the fractions below? 4/7 divided by 7/5
1 answer:
You might be interested in
Answer:
The function have a constant ratio
No, it does not represent an exponential function.
Step-by-step explanation:
As given,
Ines has saved $5. She doubles the amount she saves each week.
⇒ In first week she saved = $5
In second week she saved = 2×$5 = $10
In third week she saved = 2×$10 = 20
In fourth week she saved = 2×$20 = 40
and so on..
∴ we get the series
5, 10, 20, 40 ,.......
If the series is given as a, b, c, d, ..... , then
The common difference is defined as d = b-a = c-b
The common ration is defined as r =
Here, in the given question
The series is - 5, 10, 20, 40
This has no common difference , d = 10 - 5 (= 5 )≠ 20 - 10 (= 10)
As 5 ≠ 10
So the function does not define common difference .
Now,
This has common ratio , r =
As 2 = 2
So, the function represent common ratio
Now,
The function does not represent an exponential function because it is increased by common ratio.
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)