Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
--------
-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
Answer:
D. f(x) is shifted up 1 unit to g(x).
Step-by-step explanation:
Just let's look at the y-intercept of each function.
f(0) = 0
g(0) = 1
Also remember that a vertical shift of N units is written as:
g(x) = f(x) + N
where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.
then we can write, for the particular value x = 0
g(0) = f(0) + N
replacing the values
1 = 0 + N
1 = N
Then N is positive, so we have a shift up of one unit.
The correct option is:
D. f(x) is shifted up 1 unit to g(x).
Answer:
Think about it
Step-by-step explanation:
If you made $20 in 2 hrs you made $10 per hour
To find out how much you make per certain number of hrs multiply $10 by the number of hours
The equation is y = 10x + 0 <-- this is also answer to number 4
10x is the constant of proportionality I think.
Angles can be used to estimate the side lengths of a shape.
The letters in order of greatest to least are (a), (b) and (c)
The sum of angles at side (a) is:
The sum of angles at side (c) is:
The sum of angles at side (b) is:
So, we have:
The smaller the base angles, the longer the side.
Hence, the letters in order of greatest to least are (a), (b) and (c)
Read more about angles at:
brainly.com/question/11585894
