F3!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Proportion A
The first thing you should know in this case is what the rate of change means.
The rate of change in a linear equation is given by the slope of the line.
For a linear equation, the rate of change is constant.
So we have to:
y = 9x
The slope is:
m = 9
Proportion B
The slope of the line will be:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (57.5-34.5) / (5-3)
m = 11.5
Answer:
The rate of change in proportion A is 2.5 less than in proportion B.
=
absolute values are always positive.
Answer:
x - y is also a rational number. Hence satisfies the closure property.
Step-by-step explanation:
Closure property of subtraction states that for any two integers a and b, (a - b) must also be an integer.
Here x and y are rational numbers. so x - y must also be rational to satisfy the closure property.
One method is called the ac method:-
For example factor
3x^2 + 2x - 21
ac ( first coefficient times the last) = 3*21 = -63
now we need to find 2 factors of -63 which add up to the coefficient of x ( + 2):-
+9 and - 7 look good so we can write the original expression as:-
3x^2 + 9x - 7x - 21
Factor by grouping:-
= 3x(x +3) - 7(x + 3) ( x + 3) is common so:-
= (3x - 7)(x + 3) Answer
