Answer:
2 isnt the domain
Step-by-step explanation:
Answer:
1) Yes
2) No
Step-by-step explanation:
Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.
1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it .)
The result is a true statement. Thus, (1, 1.5) is a solution to the equation.
2) Do the same with the point (12,4):
The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.
Answer:
dx/dt = 0,029 ft
Step-by-step explanation:
Let call "x " diameter of the base of the cone then h (height ) is equal to x
V = ( 1/3)* A(b) *h
A(b) = π*(x/2)²
Then
Volume of the cone is
V = ( 1/3)*π*(x/2)²*x
V = ( 1/12)*π*x³
Then:
dV/dt = ( 1/12)*π* 3*x²*dx/dt ⇒ dV/dt = ( 1/4)*π*x²*dx/dt
dV/dt = (1/4)*π*(21)²*dx/dt
As dV/dt = 10 ft³
10*4 = 441*π* dx/dt ⇒ dx/dt = 40/ 1384,74
dx/dt = 0,029 ft
Answer:
60 weeks
Step-by-step explanation:
Factor both numbers 12 and 15:
Find LCM(12,15). The common factor is only 3, multiply ths common factor by all factors that remain. Then
This means that the fewest number of weeks that will pass before both machines are cleaned again in the same week is 60 weeks.
Step-by-step explanation:
Answer for question in attachment 1
Simplify (x^{2} -9)/(x^{2} -3x)
= (x-3)(x+3)/x(x-3) [ using the formula
=(x+3) /x [cancelling like terms]
= 1 +3/x
Answer for question in attachment 2
1) When the given equation is equal to 0, the solution from the graph can be obtained by finding the value of x when y = 0 .
From the graph we see that the value of y = 0 when x= -0.25 or x = 1.25
Hence the solution is x= -0.25 or x = 1.25
2)When the given equation is equal to 2, the solution from the graph can be obtained by finding the value of x when y = 2 .
From the graph we see that the value of y = 2 when x= -0.5 or x = 1.5
Hence the solution is x= x= -0.5 or x = 1.5