USA TEST PREP HELP PLS

1) Identify the transformation that maps ABCD to A'B'C'D'.
-0)
B В
A)
А
dilation
D
C
B)
rotation
X
C
B В
reflection
o
D
c
D)
translation
А
B
A
2) Identify the transformation that maps A'B'C'D' to A'B'C'D'.
-0)
A)
dilation
B)
translation
reflection
D)
rotation

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours