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ANEK [815]
3 years ago
6

Write a function that models the variation. x = 1/3, y = 1/5, and r = 3 when z = 1/2. z varies directly with x and inversely wit

h the product of r^2 and y.
Mathematics
1 answer:
Elodia [21]3 years ago
6 0
Z varies directly with x 
<span>so, let z = kx (k is some constant) </span>
<span>now, since when z = 1/2, x = 1/3 </span>
<span>we get, 1/2 = k/3, so k = 3/2 </span>
<span>so, we get z = 3x/2 </span>

<span>z varies inversely with the product of r^2 and y </span>
<span>so, z = c/(y * r^2) (c is some constant) </span>
<span>again, when z = 1/2, y = 1/5 and r = 3 </span>
<span>so, we get, 1/2 = c/(9/5), so c = 9/10 </span>
<span>so, we get z = 9/(10*y*r^2) </span>

<span>the above two functions model the variations </span>

<span>does this make sense ?
hopefully this is right!</span>
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Answer:

Only equation 1 and 2 are equal.

Step-by-step explanation:

2 (x + 4)2 = 2

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2x² + 16x+ 32 = 2

2x² + 16x+ 32 -2= 0

2x² + 16x+ 30 = 0

2( x² + 8x+ 15)= 0           Taking 2 as common

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x²-10x+25= 1             Applying the square formula

x²-10x+25- 1= 0

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3( x²-2x+1)+5= 0               Applying the square formula

3x²-6x+3+5= 0

3x²-6x+ 8= 0-------------eq 5

3x2 − 6x + 8 =1

3x2 − 6x + 8 -1=0

3x2 − 6x + 7 =0-------------eq 6

3 0
3 years ago
a tennis player hits a serve that cannot be returned 45 percent of the time. Out of 300 serves, how many can yiu predict will no
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Remember that 45%=45/100=0.45

So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:

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217.5 divided by 87 =
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Read 2 more answers
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