Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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Hello,
After decrypting the question:
f(x)=2x^4-4x^3-11x^2+3x-6
f(-2)=2(-2)^4-4(-2)^3-11(-2)^2+3*(-2)-6=2*16+32-44-6-6=8
The value of the <em>shaded</em> area is approximately 34.907 square centimeters.
<h3>How to calculate the area between a rhombus and a circle</h3>
According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector (
), in square centimeters:
(1)
Where:
- Length of the radius, in centimeters. 
- Angle of circle arc, in degrees.
If we know that 
and 
, then the area of the circle is:
The value of the <em>shaded</em> area is approximately 34.907 square centimeters. 
To learn more on areas, we kindly invite to check this verified question: brainly.com/question/16151549
