If you do y=a(b)^x you should get the answer
Hello from MrBillDoesMath!
Answer:
27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)
Discussion:
Let f(t) - 9 sqrt(t) sin(t), then
y' = f(x^3) * d(x^3)/dx - f(sqrt(x)) * d(x^1/2)/dx
= (9 sqrt(x^3)sin(x^3)) * 3x^2 - (9 sqrt(x^1/2)sin(x^1/2)) * (1/2) x^-(1/2)
= 27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)
Hope I didn't make a "bozo" error differentiating things!
Thank you,
MrB
Because the new function is y = 8x, we know each box costs $8.
The original brand costs $12 per box, so the new brand is $4 cheaper.
To find out how much we'd save if we bought 4 boxes, we can replace the value of x with 4 in each equation.
y = 12x
y = 12(4)
y = 48
y = 8x
y = 8(4)
y = 32
On buying 4 boxes, we'd save $16 with the new brand.
X-intercepts are zeroes of the parabola.
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12
y=x²+4.8x+5.12, but the y-int. is (0, 25.6),
So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6