Answer:
1+6i
Step-by-step explanation:
Given:
f(x)=x^4 - 2x^3 + 38x^2 - 2 + 37
zero of f(x) = 1-6i
another zero of function = ?
Conjugate Zero theorem:
As per conjugate zero theorem, if a function f(x) has real coefficients and one of zero is a complex number then the conjugate of that complex number will also be a zero of that function i.e. complex zeroes will occur in complex conjugate pairs.
conjugate of 1-6i is 1+6i
hence another zero of f(x) will be 1+6i !
The amount of money she spends per year on utility bills for the air conditioner is; D: $176.40
<h3>How to solve algebra word problems? </h3>
We are told that;
Cost of running the air conditioner = 7 hours per day
Cost of running the air conditioner = 21 cents per hour = $0.21 per hr.
She runs it for four months at 7 hours per day. Thus;
Total number of hours for the 4 months = 7 × 30 × 4 = 840 hours
Total cost for the 4 months = $0.21 per hr. × 840 hours = $176.4
Read more about algebra word problems at; brainly.com/question/21405634
Answer:X=-4
Step-by-step explanation:
Answer:
25πm²
Step-by-step explanation:
Circumference of the circular sculpture = πd
d is the diameter
Given
Circumference = 10π metres
Substitute into the formula
10π = πd
10 = d
d = 10m
Area of the sculpture = πd²/4
area of the sculpture = π(10)²/4
area of the sculpture = 100π/4
area of the sculpture = 25π m²
Hence the measurement closest to the area of the sculpture in square meters is 25πm²