34.50/6 = 5.75
44/8 = 5.5
52.5/10 = 5.25
As the number of tickets increase, the cost per ticket decreases.
So it does not make sense to use a constant rate.
Answer:
The measurement of angle B is 135°
The measurement of angle A is 60°
The measurement of angle C is 75°
Step-by-step explanation:
Angle A is the same value of 60, Angle B is pretty much just 180 - 45, and so is angle C.
Answer:
The leading coefficient of the polynomial is 5 .
Step-by-step explanation:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
In this polynomial , the highest exponential is the leading coefficient .
So there are 5 coefficients ,
5 , 4 , 3 , 2 , and x
so above , the highest one is 5 .
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me
Answer:

Step-by-step explanation:
we know that
The <u><em>conjugate root theorem</em></u> states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial
In this problem we have that
The polynomial has roots 1 and (1+i)
so
by the conjugate root theorem
(1-i) is also a root of the polynomial
therefore
The lowest degree of the polynomial is 3
so

Remember that
The leading coefficient is 1
so
a=1
![f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2](https://tex.z-dn.net/?f=f%28x%29%3D%28x-1%29%28x-%281%2Bi%29%29%28x-%281-i%29%29%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-%281-i%29x-%281%2Bi%29x%2B%281-i%5E2%29%5D%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-x%2Bxi-x-xi%2B2%5D%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-2x%2B2%5D%5C%5C%5C%5Cf%28x%29%3Dx%5E%7B3%7D-2x%5E%7B2%7D%20%2B2x-x%5E%7B2%7D%20%2B2x-2%5C%5C%5C%5Cf%28x%29%3Dx%5E%7B3%7D-3x%5E%7B2%7D%20%2B4x-2)