Step-by-step explanation:
First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.
Answer:
30
Step-by-step explanation:
First, add 3 and 7
3 + 7 =10
The multiply by 3
10*3= 30
Hope this helps!
You can check the following
C=4
C=5
C=11
Answer:
y=3/-1x+4
Step-by-step explanation:
Okay so first thing you need to know is that if there is an ordered pair (x, y) where x is 0, your y-intercept is your y. For example, your problem has (0, 4) your x is 0 and your y is 4. Therefore your y-intercept is 4 which is the b. To find your mx, or slope, you need to do (y2-y1)/(x2-x1). Your y2 will be your y in your second ordered pair and your y1 will be in your y in the first ordered pair. Same for your x. So, (4-1)/(0-1) which equals 3/-1. 3/-1 is your slope. So, your answer in slop intercept form is: y= 3/-1x+4. You could also try y= -3x+4 if that makes you more comfortable.
I know this is long this is my first time doing this lol.
Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by

where n is the number of elements in the set.
Therefore, subsets of the given set = 
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = 
= 
= 32 - 1
= 31