Answer:
Step-by-step explanation:
The amount that Rita and Tina each make per hour working as cashiers at a supermarket is $11.
Last week, Rita worked r hours. It means that the amount that Rita made last week, working for r regular hours is 11r. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. It means that the total amount earned by Rita last week was
11r + 32
Last week, Tina worked for t hours. It means that the amount earned by Tina last week was 11t
The expression representing the total weekly wages of both Rita and Tina is
11r + 32 + 11t
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
Answer:
m = -13/10
Step-by-step explanation:
Madison, imagine that you're moving from (-6, 6) to (4, -7) with interest in knowing how much x (the run) and y (the rise) change.
In the first instance, x increases by 10 from -6 and +4. Simultaneously, y decreases by 13 from 6 to -7.
Thus the slope is m = rise / run = m = -13/10
You have
3/12 = x/16
Multiply by 16
16*(3/12) = x = 4
x = 4
Answer:
Step-by-step explanation:
Choice A is the only one that is applicable.
