F(x) = 3x + 1.....this is the same as y = 3x + 1.
In y = mx + b form, which is what y = 3x + 1 is in, the rate of change (slope) is in the m position and the y int (the initial value) is in the b position.
y = mx + b
y = 3x + 1
ur rate of change (slope)...number in the m position = 3
ur initial value (y int)...number in the b position = 1
so rate of change = 3 and initial value = 1
Okay, ask yourself this : how many times does 6 goes into 30?
6 and 1 = 6
6 and 2 = 12
6 and 3 = 18
6 and 4 = 24
6 and 5 = 30
6 goes into 30 a number of 5 times. And so that means that :
60 and 1 make 60.
60 and 2 make 120
60 and 3 make 180.
60 and 4 make 240
60 and 5 make 300
FIVE (5) groups of 60 make 300.
X=3
Explanation-
(x-1)+(x-2)=3
x-1+(x-2)=3
x-1+x-2=3
Then collect the two like terms
x-1+x-2=3=
2x-1-2=3
Calculate the difference
x-1+x-2=3=
2x-3=3
———————
2x-3=3
Move the constant to the right-hand side and change its sign
2x=3+3
———————————————————-
2x=3+3
Add the numbers
2x=6
————————————————-
2x=6
Divide both sides of the equation by two
X=3
There you go. Have a great day! :)
When you use F.O.I.L. on problems you get an answer that looks like this; ax^2 + bx + c. The middle term is bx. To find this term we solve out by multiplication. so x*x + 5*x + 2*x + 5*2 or x^2 + 7x + 10, so the middle term is 7x.
