Lets try to solve this problem using 2 equations, also,we will have bananas=b and pears =p
5b+3p= $3.80
2b+4p= $3.20 i will divide this equation by 2 and get
b+2p= $ 1.60 we subtract 2p from both side so i can find the cost for 1 banana
b+2p-2p=1.60-2p
b= $1.60-2p
I will replace the b in the first equation now,
5(1.60-2p)+3p=$3.80
8-10p+3p=3.80 solving for p
8-7p=3.80 we subtract 8 from both sides
-7p=-8+3.80
-7p=-4.20 we multiply both sides by (-1)
7p=4.20 we divide now both sides by 7
p=0.60 a pear cost 0.60 cents
a banana is b=1.60-2p, b=0.40 cents
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
I’m pretty positive it’s 4 units. good luck!
Answer:
Step-by-step explanation:
(x-5)2+8 = 92
2x-10+8 = 92
2x = 94
x = 47
