Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
The list is long, but here goes:
10/12, 15/18, 20/24, 25/30, 30/36, ... and so on.
Answer:
EB=3.3
Step-by-step explanation:
From the diagram, triangle ABC is similar to triangle DBE.
This means that, the corresponding sides are proportional.
It was given that AC=6, DE=4, CB=5.
We want to find EB=x
Since the ratio of corresponding sides are proportional, we have:
We substitute to obtain:
Multiply both sides by 5 to get:
Answer:
3 games each
Step-by-step explanation:
because $0.75 is 3 times $0.25
Marcel: 0 plays= $8.25, 1 play=$8, 2 plays= $7.75, 3 plays= $7.5
Floyd : 0 plays= $9.75 1 play =$9.00 , 2 plays= $8.25, 3 plays = $7.5
not sure if this is the answer ???
