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bonufazy [111]
3 years ago
5

WORTH 19 POINTS!!

Mathematics
1 answer:
marta [7]3 years ago
8 0
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and  a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum.  You also know the amplitude has to be 10 since 18+2=20 and 20/2=10.  We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.

lets start of with a regular cos(x) graph.  This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.

-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
 
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.

-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.

Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.  

I hope this helps.  Let me know if anything is unclear.
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Find the value of the discriminant for all the equations. 1.5q2 +2q–3=0 2.3u2 -4u+1=0 3.7s2 +9s–4=0 4.6w2 –8w+5=0 5.5p2 +7p–3=0
kicyunya [14]

Answer:

Case 1: a = 1.5, b = 2, c = -3

D = 22

Case 2: a = 2.3, b = -4, c = 1

D = 6.8

Case 3: a = 3.7, b = 9, c = -4

D = 140.2

Case 4: a = 4.6, b = -8, c = 5

D = -28

Case 5: a = 5.5, b = 7, c = -3

D = 115

Case 6: a = 6.9, b = -5, c = 2

D = -30.2

Case 7: a = 7.2, b = 6, c = -4

D = 151.2

Case 8: a = 8.3, b = -3, c = 4

D = -123.8

Case 9: a = 9.9, b = 4, c = -7

D = 293.2

Case 10: a = 10.4, b = 8, c = -5

D = 272

Step-by-step explanation:

For all second order polynomial, the discriminant is equal to:

D = b^{2}-4\cdot a \cdot c

Case 1: a = 1.5, b = 2, c = -3

D = 22

Case 2: a = 2.3, b = -4, c = 1

D = 6.8

Case 3: a = 3.7, b = 9, c = -4

D = 140.2

Case 4: a = 4.6, b = -8, c = 5

D = -28

Case 5: a = 5.5, b = 7, c = -3

D = 115

Case 6: a = 6.9, b = -5, c = 2

D = -30.2

Case 7: a = 7.2, b = 6, c = -4

D = 151.2

Case 8: a = 8.3, b = -3, c = 4

D = -123.8

Case 9: a = 9.9, b = 4, c = -7

D = 293.2

Case 10: a = 10.4, b = 8, c = -5

D = 272

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Answer:

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Step-by-step explanation:

first subtract 6 from 8 to get 2 (since it's easier) because those 6 girls are on the math league team as well

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Answer:

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