Let side be "a" cm. So another side is (30-2a)/2=15-a
S=ab=a(15-a)=15a-a^2 - parabola
maximum when a = -15/-2=7.5 cm
When a=7.5 all sides are 7.5 cm
So it's a square. S=a*a=7.5*7.5=56.25 cm^2 - max
There is no global minimun for S.(look at the graphic)
370 weeks can also equal 7.09589041, if you need to simplify that just say 7 years
X^2 + y^2 = (3x^2 + 2y^2 - x)^2
2x + 2y f'(x) = 2(3x^2 + 2y^2 - x)(6x + 4y f'(x) - 1) = 36x^3 + 24x^2yf'(x) + 24xy^2 + 16y^3f'(x) - 4y^2 - 18x^2 - 8xyf'(x) + x
f'(x)(2y - 24x^2y - 16y^3 + 8xy) = 36x^3 + 24xy^2 - 4y^2 - 18x^2 - x
f'(x) = (36x^3 + 24xy^2 - 4y^2 - 18x^2 - x)/(2y - 24x^2y - 16y^3 + 8xy)
f'(0, 0.5) = -4(0.5)^2/(2(0.5) - 16(0.5)^3) = -1/(1 - 2) = -1/-1 = 1
Let the required equation be y = mx + c; where y = 0.5, m = 1, x = 0
0.5 = 1(0) + c = 0 + c
c = 0.5
Therefore, the tangent line at point (0, 0.5) is
y = x + 0.5
Answer:
Step-by-step explanation:
Let y be the total price and x be the months passed,
Since the enrollment fee is $50, the y-intercept would be 50 regardless of the months passed. Also, since the price increases by $60 every month, we know the gradient is 60.
Therefore, the equation is
Yes it can just keep dividing by 3 until you can't anymore
