Answer:
Intercept = - 3 ; slope = 18
Step-by-step explanation:
Given the points :
(3, 51) ; (5, 87)
x1 =3, y1 = 51, x2 = 5 ; y2 = 87
Slope intercept relation:
y = mx + c
m = slope ; c = intercept ; x and y are x, y vlayes respectively
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (87 - 51) / (5 - 3)
Slope = 36 / 2
Slope (m) = 18
The intercept c :
m = 18 ; x = 5 ; y = 87
Substitute values into the slope intercept formula :
87 = 18(5) + c
87 = 90 + c
c = 87 - 90
c = - 3
Intercept = - 3
You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the
equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
and
and c = 4. So that's our answer!
C, 11/10 is not a possible value for probability, as it is not an actual situation one could be in. For example, if you can get a maximum of ten questions correct on your quiz, and you get eleven correct, that would no make much sense in the real world, unless if you consider extra credit an "extra question."
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
