Answer:
y = 2/3 x + 2
Slope intercept form is the form of y=mx + b.
The slope is 2/3, so that is m, and from looking at the graph, we know that the y intercept is (0,2), so b has the value of 2.
I hope this helps! Please let me know if you have any more questions!
The average rate of change of a function f(x) on the interval [a,b] is given by:
f(b) - f(a)
-------------
b-a
In this specific case, a=2 and b = 3.
f(2) = -3 and f(3) = -1.
Thus, the average rate of change here of f(x) on the interval [2,3] is:
-1 - (- 3) 2
------------- = ------------- = 2 (answer)
3-2 1
Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.
Answer:
(a)9×3=37' 97 and 8 are factors of 37
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
