Call these numbers 
. Then 
or 
.
We want to maximize their product,
We could consider the derivative, but I think that's overkill. Instead, let's complete the square:
whose graph is a parabola opening downward with vertex at 
, so that the maximum product is 
.
Now if 
, it follows that 
.
Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour
If the two distance provided are the two legs, you are looking for the hypotenuse. Use the pyth. theorem.
a^2+b^2=c^2
c^2=5^2+12^2
c^2=25+144
c^2=169
c=13
answer: B
So based on your question where there is a rectangle inscribed in a semicircle or a radius 10 as shown in your figure. The possible function that could represent the are of the rectangle is A=2x*sqrt(100-x^2) i hope you are satisfied with my answer and feel free to ask for more
Answer:
4 sets
Step-by-step explanation:
406 - 278 = 128
1 set = 40
2 sets = 80
3 sets = 120
4 sets = 160
3.2 sets = 128
