Answer:
Step-by-step explanation:
Inverse variation is of the form y=k/x (direct variation is of the form y=kx)
We are given that x=2 when y=1 so using the inverse form y=k/x we can solve for the constant of variation...
1=k/2
k=2
so the equation is:
y=2/x now they want us to find y when x=-1 so
y=2/-1
y=-2
Answer:
16
Step-by-step explanation:
2x+3 = 11
2x= 8
x = 4
4(x) = 4(4) = 16
The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.
If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
Answer:
<1 and <2
<3 and <2
<1 and <4
Step-by-step explanation:
Adjacent angles are angles that are next to each other. In essence, they would share one aside in common. In this problem, the answers are the following,
<1 and <2
<3 and <2
<1 and <4