Answer:
(a)96.77%
(b)3.23%
Step-by-step explanation:
Starting with the Michaelis-Menten equation which is used to model biochemical reactions:
Dividing both sides by 
![\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D)
Where:
maximum rate achieved by the system
=The Michaelis constant
Substrate concentration
(a) When ![[S]=30K_M](https://tex.z-dn.net/?f=%5BS%5D%3D30K_M)
![\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{30K_M}{K_M + 30K_M}\\\dfrac{v}{V_{max}}=\dfrac{30}{1 + 30}\\\dfrac{v}{V_{max}}=\dfrac{30}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{30}{31}X100=96.77\%](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30K_M%7D%7BK_M%20%2B%2030K_M%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30%7D%7B1%20%2B%2030%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30%7D%7B31%7D%5C%5C%24Expressed%20as%20a%20percentage%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30%7D%7B31%7DX100%3D96.77%5C%25)
(b)When ![K_M=30[S]](https://tex.z-dn.net/?f=K_M%3D30%5BS%5D)
![\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{[S]}{30[S] + [S]}\\\\=\dfrac{1[S]}{30[S] + 1[S]}\\=\dfrac{1}{30 + 1}\\\dfrac{v}{V_{max}}=\dfrac{1}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{1}{31}X100=3.23\%](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7B30%5BS%5D%20%2B%20%5BS%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%5BS%5D%7D%7B30%5BS%5D%20%2B%201%5BS%5D%7D%5C%5C%3D%5Cdfrac%7B1%7D%7B30%20%2B%201%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B1%7D%7B31%7D%5C%5C%24Expressed%20as%20a%20percentage%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B1%7D%7B31%7DX100%3D3.23%5C%25)
5y + 3 > -7 + 13
First add -7 + 13 = 6
5y + 3 > 6
Subtract 3 from both sides
5y + 3 -3 > 6 - 3
5y > 3
Divide both sides by 5
5y/5 > 3/5
y > 3/5
Answer:I do not know because there are no number in that equation sorry
:( :(
Step-by-step explanation:
In this question, the given functions are
And we have to find the value of
Which is equal to
So we have to subtract the two functions that is
Correct option is the second option .
This is wrong DONT use it