Ramon and justine are both watching brodcast both star at 7:00 a. M and ends at 9:00 a. M one one shows commercials every 17 minutes and 14 minutes. When will commercials show at the same time

Step-by-step explanation:

Step one:;

given data

start time= 7:00 am

end time= 9:00 am

we are told that one broadcast shows commercial every 17minutes

and the other shows commercials every 14 minutes

now the time when they both sho commercial is given by the greates common multiple of the times 17 and 14

multiples of  17= 17,34,51,68,85,102,119,136,153,170,187,204,221,238

multiples of  14= 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238

for the number above 238 is common to both

238minutes to hours= 3.96667

=3:58 minutes

this shows that commercials will show at the same time 1:58 minutes after the show

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

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll