Let's see.
We have function 
. We have to determine if the function is even or odd or neither.
We can find this out in many ways but the assignment specifically asks to prove this algebraically.
Function is even if 
, so, 
Which is true since negative raised to an even power is positive to that same number.
Similarly, function is odd if 
, that is,
.
So we have prooved that function 
is an even function not an odd function and therefore also not neither.
Hope this helps.
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
#SPJ1
Answer:
84
Step-by-step explanation:
We have:
c
-7 = ---------
-12
To solve for c, multiply both sides of this expression by -12. This results in 84 = c (Answer Choice C).
