Eliminate parentheses using the distributive property.
... 5x = 10x -10x +15
Collect terms, then divide by the coefficient of x.
... 5x = 15
... x = 3
23. y=25x looks about right to me
24. for the equation I used, 2010 is 30 years from 1980, so y=25*30, our about 750,000
Hello!
Whole numbers are closed under addition and multiplication
Integers are closed under addition, subtraction, and multiplication
natural numbers are positive whole integers so they are also closed under addition
The answers are A, B and D
Hope this helps!
Neither - They are
exactly
the same weight !
Thank you for posting the figure. Without it, I would have thought the parabola has a vertical axis.
For a parabola with a horizontal axis (as in this case), the equation of the parabola is
f(y)=a(y-k)^2+h
where (h,k) is the vertex.
Substituting (h,k)=(2,-4),
f(y)=a(y+4)^2+2...................(1)
as the equation of the parabola, with the value of "a" yet unknown.
Since we are given that the parabola passes through the point (-3,-3), we can substitute the corresponding x,y values in (1) to solve for a.
f(y)=-3=a(-3+4)^2+2
solve for a
a=(-3-2)/(1^2)=-5
So the equation of the parabola is f(y)=-5(y+4)^2+2
