Answer:
The bench costs 450
Step-by-step explanation:
Let t = cost of the table
b = cost of bench
t+b = 846
t = b-54
t+b =846
Substituting t = b-54 into the above equation
b-54 +b =846
Combine like terms
2b -54 = 846
Add 54 to each side
2b-54+54 = 846 +54
2b =900
Divide by 2
2b/2 = 900/2
b =450
The bench costs 450
Answer:
b one because:
first you have to add the first number both the side
Answer:
x=-2 x=1
Step-by-step explanation:
16x2 + 10x – 27 = -6x + 5
Add 6x to each side
16x^2+6x + 10x – 27 = -6x+6x + 5
16x^2 +16x -27 = 5
Subtract 5 from each side
16x^2 + 16x – 27-5 = 5 - 5
16x^2 +16x -32 = 0
Factor out 16
16 (x^2 +x-2)=0
Factor
16 (x+2) (x-1) =0
Using the zero product property
(x+2) =0 x-1=0
x=-2 x=1
For the derivative tests method, assume that the sphere is centered at the origin, and consider the
circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined
1
by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner
by
x2+y2+z2=r2 =⇒z= r2−(x2+y2).
Then the volume of a box with this coordinate for the corner is given by
V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),
and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the
boundary of this domain, so we need only consider critical points contained inside the domain in order
to carry this optimization out.
For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint
x2 + y2 + z2 = r2<span>. </span>
Answer:
0 And 12
Step-by-step explanation:
0 + 12 = 12
But 0 is 12 away from 12. hope i helped :)
