Answer:
Step-by-step explanation:
The given function is 
.
When we compare to 
, we have
and c=10
The equation of the axis of symmetry of a vertical parabola is:
Also from the question the axis of symmetry is x=6
We substitute the values to get:
If a function has roots -1 and -5, it must be in the form
We can fix the coefficient a by imposing the passing through (0,-30):
So, the function is
Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation:
Answer:
$8460
Step-by-step explanation:
So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.
So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.
So 8000 + 460 = 8460.
Thus, the total price of the car would be $8460.
Cheers.
Answer:
B. No solutions
Step-by-step explanation:
8x+2y=14
8x+2y=4
These linear equations are in standard form, and the Ax values are the same (8x) and the By values are the same (2y). The only value that is the different is the C values (14 and 4), which will be the cause of a no solution for this system of equations.
