Answer:
The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are
.
Step-by-step explanation:
Consider the provided information.
Algebra's fundamental theorem states that: Every polynomial equation of degree n with complex coefficients has n roots in the complex numbers.
Now consider the provided equation.

The degree of the polynomial equation is 2, therefore according to Algebra's fundamental theorem the equation have two complex roots.
Now find the root of the equation.
For the quadratic equation of the form
the solutions are: 
Substitute
in above formula.





Hence, the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are
.
Answer:
x= -1/4
Step-by-step explanation:
suppose ,
The number is x
now,
twice a number = 2 . x = 2x
The product of twice a number and six = 2x . 6 = 12x
[ "product" means the result of multiplication]
Then,
Eleven times the number = 11 . x = 11x
The difference of eleven times the number and 1/4 = 11x - 1/4
= (44x-1)/4
Hence,
12x = (44x-1)/4
=>48x = 44x-1 [multiplied by 4 on both sides]
=>48x-44x=-1 [subtract 44x on both sides]
=>4x=-1 [divide both sides by 4]
=>x= -1/4
Answer:
The angle measure for the bottom two angles in order for the triangle to be classified as an isosceles triangle are 30 degrees each
Explanation:
An isosceles triangle has two of its angles equal.
Given that one angle is 120 degrees, assuming the remaining angles are equal, since the sum of the angles in a triangle is 180 degrees, we have:
120 + x + x = 180
120 + 2x = 180
2x = 180 - 120 = 60
x = 60/2 = 30
Each of the remaining angles measure 30 degrees
Answer:
$12,087,912.1
Step-by-step explanation:
is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.
So we have:

This is the revenue.
We do similar process for time:

This is the time , in minutes.
We want revenue PER minute, that means we divide the total revenue by total time, that would be:

The revenue earned per minute is $12,087,912.1