Answer:
x=-8
Step-by-step explanation:
the equation is in standard form of y=ax^2+bx+c
so, to find the vertex, or axis of symmetry do -b/2a.
-16/2(1)=
-8
Answer:
a) C = 250 + 1.25n
b) 1800
c) 300
Step-by-step explanation:
a) To write the equation for these problems, let's establish the constant, $250, since we are given that $250 is a FIXED cost, meaning no matter how many brochures we print, we will have to pay $250. Then, we have to pay $1.25 for each brochure, so for n amount of brochures, so we have 1.25*n. Putting it together, we have the fixed cost + the cost of producing n brochures, C = 250 + 1.25C
b) The cost of printing 2500 brochures can be found by pluggin number into the equation above. C = 250 + 1.25*2500 = $1800
c) This is the opposite question, since 625 is the final cost, we plug it into the final cost, 625 = 250 + 1.25*n. Solving gives n = 300
Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
