1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of 
.
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
Answer:
4 cups of raisins
3 cups of dates
6 cups of peanuts
and 2 cups of cashews
ratio cashews to raisins= 2:4
= 1:2
ratio dates to peanuts= 3:6
= 1:2
In a regular hexagon, each side is contained in a separate equilateral triangle with side of 2-units. That makes six equilateral triangles with side 2-units.
Further, each equilateral triangle of side 2-units contains four (4) equilateral triangles of side 1-unit.
Therefore the total number of equilateral triangles of side 1 units in a hexagon with side two units is 6*4=24.
Answer:
No evidence .because the configurations factors and failure mode are independent
Step-by-step explanation:
Determine if there is sufficient evidence to conclude that configuration affects the type of failure
Number of configurations = 3
Number of failures = 4
assuming <em>Pij </em>represents proportion of items in pop i of the category j
H0 : <em>Pij = Pi * </em>Pj<em>, </em>I = 1,2,-- I, j = 1,2,---J
Hence the expected frequencies will be
16.10 , 43.58 , 18, 12.31
7.5, 19.37, 8 , 5.47
10.73, 29.05, 12, 8.21
x^2 = 13.25
test statistic = 14.44. Hence the significance level where Null hypothesis will be acceptable will be = 2.5%
Since the operation between the two sets of parentheses is addition, we don't have to do anything with it, and can remove the parentheses.
Our new expression is: 2y^2+9y+4-3y^2-3y-9
Now, we just add like terms together to solve for the simplest form of the expression.
2y^2+9y+4-3y^2-3y-9
(2-3)y^2+(9-3)y+(4-9)
-y^2+6y-5
Our final answer is -y^2+6y-5.
