Answer:
Vertex form is
where (h,k) is the vertex
So our vertex form is
It passes through (6,0) so we have
Solve for a.
So our equation is
Answer:
Total amount of money=200x+25y, where x is the number of bands and y is the number of drill teams.
Step-by-step explanation:
The expression for the total amount of money collected from entrance fees would be equal to the entrance fee for each band for the number of bands plus the entrance fee for each drill team for the number of drill teams:
Total amount of money=200x+25y, where x is the number of bands and y is the number of drill teams.
Total amount of money=200(32)+25(25)
Total amount of money=6400+625
Total amount of money=7025
70 cups>35 pints>17.5 quarts of water in a week
10 cups × 7 days (a week)= 70 cups
2 cups = 1 pints
70 cups ÷ 2= 35 pints
2 pints = 1 quart
35 pints ÷2 = 17.5 quarts
Hope this helps!
The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.
We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75
Then we will use one of these points to get the value of c as follows:
y = mx + c
1 = -0.75 (1) + c ..............> c = 1.75
The equation of this straight line is:
y = -0.75 x + 1.75
Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
1- For x = 0:
y = -0.75 (0) + 1.75 = 1.75
point is (0,1.75)
2- For y = 0:
0 = -0.75 x + 1.75 ..............> x = 2.334
point is (2.334,0)
3- For x = 2:
y = -0.75(2) + 1.75 = 0.25
point is (2,0.25)
Answer: (10,9) is the correct answer.
