Select the correct answer. The archway of the main entrance of a university is modeled by the quadratic equation y=-x2 + 6x. The university is hanging a banner at the
main entrance at an angle defined by the equation 4y = 21 - x. At what points should the banner be attached to the archway?
O A.
(1.5,5.62) and (3.5,6.12)
OB. (1,5.5) and (5.25,6.56)
OC. (1.5,4.87) and (3.5,4.37)
OD. (1,5) and (5.25,3.94)

i hope this is what you were looking for.

see attached graph

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

the answer is $42.96

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12