Simultaneous equation refer to a pair of equations that are solved at the same time.
<h3>What is a simultaneous equation?</h3>
A simultaneous equation refer to a pair of equations that are solved at the same time.
For problem 1;
x = 4 - y ------ (1)
y^2 = 3x + 19 ----- (2)
Substitute (1) into (2)
y^2 = 3(4 - y) + 19
y^2 = 12 - 3y + 19
y^2 +3y - 31 =0
y = 4.27 or -7.27
x = 4 - 4.27 = 0.27
or
x = 4 - (-7.27) = 11.27
For the second problem;
x = 7 - y
y^2 = 5x - 15
Substitute (1) into (2)
y^2 = 5(7 - y) - 15
y^2 =35 -5y -15
y^2 + 5y - 20 = 0
y =2.62 or -7.62
x = 7 - 2.62 = 4.38
OR
x= 7 - (-7.62) = 14.62
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Since
represents the number of years passed since 2005, in 2005 we have
, and in 2015 we have
. Let
represent the profits of Jones and Davis, respectively, at year y.
We have


Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor
goes to zero as t grows.
On the other hand, Davis starts with a smaller value, but
tends to infinity as t grows.
So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.
More precisely, we have

So, after 11 years, Davis will overcome Jones.
Answer: 63 nurses and 14 doctors
so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.
if theres 9 (9*1) nurses theres 2 (2*1) doctors
if theres 18 (9*2) nurses theres 4 (2*2) doctors
if theres 27 (9*3) nurses theres 6 (2*3) doctors
you get the point so i multiplied 7 to 9 and 7 to 2, which means:
if theres 63 (9*7) nurses theres 14 (2*7) doctors
i hope this helps :)
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