Y = f(3f - 4g + 3) +7g(3f - 4g + 3)
= 3f^2 - 4fg + 3f + 21fg - 28g^2 + 21g
= 3f^2 + 3f + 17fg + 21g - 28g^2
The answer is 32, depending on how you do the math will be different outcomes
Answer:
Step-by-step explanation:
PERCENT CHANGE
The percentage change from 1.20 to 1.80 is 50 %
Our percent calculator uses this formula:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((1.80 - 1.20) / 1.20) * 100 = 50 %
Answer:
Step-by-step explanation:
Alternate forms:
x^2 + y (y + 4) = 5
x^2 + y^2 + 4 y - 5 = 0
Solutions:
y = -sqrt(9 - x^2) - 2
y = sqrt(9 - x^2) - 2
Integer solutions:
x = ± 3, y = -2
x = 0, y = -5
x = 0, y = 1
Implicit derivatives:
(dx(y))/(dy) = -(2 + y)/x
(dy(x))/(dx) = -x/(2 + y)
We know that
The mixture in Tank A is 5/(5+10) = 1/3 pure alcohol.
The mixture in Tank B is 3/(3+12) = 1/5 pure alcohol.
We want to combine these to make a mixture that is 25% = 1/4 pure alcohol.
Let
x------------------> the volume in gallons of solution taken from Tank A.
y------------------>the volume in gallons of solution taken from Tank B
Then
the volume taken from Tank B will be y=(8 -x)
remember that we are making a total of 8 gallons of solutions.
The alcohol content of the mixture is(1/3)x +(1/5)(8 -x) = (1/4)*85x + 3(8 -x) = 30 ----------> 5x+24-3x=30----------> 5x-3x=30-24
2x = 6 ----------------> x=3
y=8-x--------> y=8-3-----> y=5
the answer is
3 gallons should be taken from Tank A;
5 gallons should be taken from Tank B
