For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y
Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m
Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18
The equation of this line would be: y= x +4
There are 3 repeating digits in 0.536 because there are 3 numbers behind the decimal
Answer:
y^2/x^6
apply exponent rule:
x^-2/x^4=1/x^4-(-2)=y/y^-1 x^4 -(-2)
then you subtract 4-(-2)=6
y/x^6 y^-1
cancel out the common factor: y^-1 and you get
y^2
------
x^6
A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.