Answer:
13/4 or 3 1/4
Step-by-step explanation:
5 3/8 = 43/8
2 1/8 = 17/8
43/8 - 17/8 = 26/8
26/8 = 13/4
Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
Answer:
6x^3 +55x^2 +58x +16
Step-by-step explanation:
If the given binomial expressions are the dimensions of a cuboid, the volume will be their product. We presume you want that in standard form.
V = (2x +1)(x +8)(3x +2)
= (x +8)(6x^2 +7x +2)
V = 6x^3 +55x^2 +58x +16